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Journal articles on the topic 'Bose-Einstein condensation. Bose-Einstein gas'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

ERTİK, HÜSEYİN, HÜSEYİN ŞİRİN, DOǦAN DEMİRHAN, and FEVZİ BÜYÜKKİLİÇ. "FRACTIONAL MATHEMATICAL INVESTIGATION OF BOSE–EINSTEIN CONDENSATION IN DILUTE 87Rb, 23Na AND 7Li ATOMIC GASES." International Journal of Modern Physics B 26, no. 17 (June 21, 2012): 1250096. http://dx.doi.org/10.1142/s0217979212500968.

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Although atomic Bose gases are experimentally investigated in the dilute regime, interparticle interactions play an important role on the transition temperatures of Bose–Einstein condensation. In this study, Bose–Einstein condensation is handled using fractional calculus for a Bose gas consisting of interacting bosons which are trapped in a three-dimensional harmonic oscillator. In this frame, in order to introduce the nonextensive effect, fractionally generalized Bose–Einstein distribution function which features Mittag–Leffler function is adopted. The dependence of the transition temperature of Bose–Einstein condensation on α (a measure of fractality of space) has been established. The transition temperatures for the dilute 87 Rb , 23 Na and 7 Li atomic gases have been obtained in consistent with experimental data and the nature of the interactions in the Bose–Einstein condensate has been enlightened. In the course of our investigations, we have arrived to the conclusion that for α < 1 attractive interactions and for α > 1 repulsive interactions are predominant.

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2

Wieman, Carl E. "Bose–Einstein Condensation in an Ultracold Gas." International Journal of Modern Physics B 11, no. 28 (November 10, 1997): 3281–96. http://dx.doi.org/10.1142/s0217979297001581.

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Bose–Einstein condensation in a gas has now been achieved. Atoms are cooled to the point of condensation using laser cooling and trapping, followed by magnetic trapping and evaporative cooling. These techniques are explained, as well as the techniques by which we observe the cold atom samples. Three different signatures of Bose–Einstein condensation are described. A number of properties of the condensate, including collective excitations, distortions of the wave function by interactions, and the fraction of atoms in the condensate versus temperature, have also been measured.

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3

Liu, Yong. "The Bose-Einstein condensation of anyons." Australian Journal of Physics 53, no. 3 (2000): 447. http://dx.doi.org/10.1071/ph99062.

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The probability for the Bose-Einstein condensation of anyons is discussed. It is found that the ideal anyon gas near Bose statistics can display BEC behaviour. In addition, the transition point and the specific heat are determined.

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4

WANG, YING, and XIANG-MU KONG. "BOSE–EINSTEIN CONDENSATION OF A q-DEFORMED BOSE GAS IN A RANDOM BOX." Modern Physics Letters B 24, no. 02 (January 20, 2010): 135–41. http://dx.doi.org/10.1142/s0217984910022299.

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The q-deformed Bose–Einstein distribution is used to study the Bose–Einstein condensation (BEC) of a q-deformed Bose gas in random box. It is shown that the BEC transition temperature is lowered due to random boundary conditions. The effects of q-deformation on the properties of the system are also discussed. We find some properties of a q-deformed Bose gas, which are different from those of an ordinary Bose gas. Similar results are also shown for q-bosons confined in a harmonic oscillator potential well.

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5

Khalilov, V. R., Choon-Lin Ho, and Chi Yang. "Condensation and Magnetization of Charged Vector Boson Gas." Modern Physics Letters A 12, no. 27 (September 7, 1997): 1973–81. http://dx.doi.org/10.1142/s0217732397002028.

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The magnetic properties of charged vector boson gas are studied in the very weak, and very strong (near critical value) external magnetic field limits. When the density of the vector boson gas is low, or when the external field is strong, no true Bose–Einstein condensation occurs, though significant amount of bosons will accumulate in the ground state. The gas is ferromagnetic in nature at low temperature. However, Bose–Einstein condensation of vector bosons (scalar bosons as well) is likely to occur in the presence of a uniform weak magnetic field when the gas density is sufficiently high. A transitional density depending on the magnetic field seems to exist below which the vector boson gas changes its property with respect to the Bose–Einstein condensation in a uniform magnetic field.

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6

HUTCHINSON, D. A. W., and P. B. BLAKIE. "PHASE TRANSITIONS IN ULTRA-COLD TWO-DIMENSIONAL BOSE GASES." International Journal of Modern Physics B 20, no. 30n31 (December 20, 2006): 5224–28. http://dx.doi.org/10.1142/s0217979206036302.

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We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We obtain a phase diagram for the trapped two-dimensional gas, finding a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than that for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature, a phase coherent Bose-Einstein condensate, a vortex pair plasma with fluctuating condensate phase and a thermal Bose gas. The thermal activation of vortex-antivortex pair formation is confirmed using finite-temperature classical field simulations.

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7

SCHELLE, ALEXEJ. "QUANTUM FLUCTUATION DYNAMICS DURING THE TRANSITION OF A MESOSCOPIC BOSONIC GAS INTO A BOSE–EINSTEIN CONDENSATE." Fluctuation and Noise Letters 11, no. 04 (December 2012): 1250027. http://dx.doi.org/10.1142/s0219477512500277.

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The condensate number distribution during the transition of a dilute, weakly interacting gas of N = 200 bosonic atoms into a Bose–Einstein condensate is modeled within number conserving master equation theory of Bose–Einstein condensation. Initial strong quantum fluctuations occuring during the exponential cycle of condensate growth reduce in a subsequent saturation stage, before the Bose gas finally relaxes towards the Gibbs–Boltzmann equilibrium.

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8

Kobayashi, Michikazu, and Makoto Tsubota. "Bose–Einstein condensation and superfluidity of dirty Bose gas." Physica B: Condensed Matter 329-333 (May 2003): 212–13. http://dx.doi.org/10.1016/s0921-4526(02)01962-2.

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9

Standen, Guy B., and David J. Toms. "Bose-Einstein condensation of the magnetized ideal Bose gas." Physics Letters A 239, no. 6 (March 1998): 401–5. http://dx.doi.org/10.1016/s0375-9601(98)00027-9.

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10

Su, Guozhen, Shukuan Cai, and Jincan Chen. "Bose–Einstein condensation of a relativisticq-deformed Bose gas." Journal of Physics A: Mathematical and Theoretical 41, no. 4 (January 15, 2008): 045007. http://dx.doi.org/10.1088/1751-8113/41/4/045007.

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11

HOMORODEAN, LAUREAN. "MAGNETIC SUSCEPTIBILITY OF THE NONRELATIVISTIC BOSON GAS." Modern Physics Letters B 14, no. 17n18 (August 10, 2000): 645–51. http://dx.doi.org/10.1142/s0217984900000823.

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The magnetic susceptibilities of the degenerate (below the Bose–Einstein condensation temperature) and nondegenerate ideal gases of nonrelativistic charged spinless bosons are presented. In both cases, the boson gas is diamagnetic. The magnetic susceptibility of the degenerate boson gas below the Bose–Einstein condensation temperature increases in modulus as the temperature increases. As expected, the magnetic susceptibility of the nondegenerate boson gas decreases in modulus with increasing temperature according to the Curie law in low magnetic fields.

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12

PINHEIRO, A. B., and I. RODITI. "A DEFORMED BOSE-EINSTEIN GAS NEAR q=1." Modern Physics Letters B 10, no. 15 (June 30, 1996): 717–22. http://dx.doi.org/10.1142/s0217984996000791.

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13

Shu, Yaogen, Jincan Chen, and Lixuan Chen. "Bose–Einstein condensation of a q-deformed ideal Bose gas." Physics Letters A 292, no. 6 (January 2002): 309–14. http://dx.doi.org/10.1016/s0375-9601(01)00816-7.

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14

Saptsov, R. B. "Bose-einstein condensation in a Bose gas under cooling conditions." Journal of Experimental and Theoretical Physics 105, no. 3 (October 2007): 566–70. http://dx.doi.org/10.1134/s1063776107090130.

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15

Shi, Hua, Hadi Rastegar, and A. Griffin. "Bose-Einstein condensation of a coupled two-component Bose gas." Physical Review E 51, no. 2 (February 1, 1995): 1075–80. http://dx.doi.org/10.1103/physreve.51.1075.

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16

Yukalov, Vyacheslav I. "Particle Fluctuations in Mesoscopic Bose Systems." Symmetry 11, no. 5 (May 1, 2019): 603. http://dx.doi.org/10.3390/sym11050603.

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Particle fluctuations in mesoscopic Bose systems of arbitrary spatial dimensionality are considered. Both ideal Bose gases and interacting Bose systems are studied in the regions above the Bose–Einstein condensation temperature T c , as well as below this temperature. The strength of particle fluctuations defines whether the system is stable or not. Stability conditions depend on the spatial dimensionality d and on the confining dimension D of the system. The consideration shows that mesoscopic systems, experiencing Bose–Einstein condensation, are stable when: (i) ideal Bose gas is confined in a rectangular box of spatial dimension d > 2 above T c and in a box of d > 4 below T c ; (ii) ideal Bose gas is confined in a power-law trap of a confining dimension D > 2 above T c and of a confining dimension D > 4 below T c ; (iii) the interacting Bose system is confined in a rectangular box of dimension d > 2 above T c , while below T c , particle interactions stabilize the Bose-condensed system, making it stable for d = 3 ; (iv) nonlocal interactions diminish the condensation temperature, as compared with the fluctuations in a system with contact interactions.

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17

Inomata, Akira, and Stefan Kirchner. "Bose-Einstein condensation of a quon gas." Physics Letters A 231, no. 5-6 (July 1997): 311–14. http://dx.doi.org/10.1016/s0375-9601(97)00345-9.

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18

Yarunin, V. S. "Bose-Einstein condensation of a nonideal gas." Theoretical and Mathematical Physics 109, no. 2 (November 1996): 1473–82. http://dx.doi.org/10.1007/bf02072012.

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19

BUND, S., and A. M. J. SCHAKEL. "STRING PICTURE OF BOSE–EINSTEIN CONDENSATION." Modern Physics Letters B 13, no. 11 (May 10, 1999): 349–62. http://dx.doi.org/10.1142/s0217984999000440.

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A nonrelativistic Bose gas is represented as a grand-canonical ensemble of fluctuating closed spacetime strings of arbitrary shape and length. The loops are characterized by their string tension and the number of times they wind around the imaginary time axis. At the temperature where Bose–Einstein condensation sets in, the string tension, being determined by the chemical potential, vanishes and the strings proliferate. A comparison with Feynman's description in terms of rings of cyclicly permuted bosons shows that the winding number of a loop corresponds to the number of particles contained in a ring.

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20

Bordag, M. "On Bose-Einstein condensation in one-dimensional lattices of delta functions." Modern Physics Letters A 35, no. 03 (January 16, 2020): 2040005. http://dx.doi.org/10.1142/s0217732320400052.

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We investigate Bose-Einstein condensation of a gas of non-interacting Bose particles moving in the background of a periodic lattice of delta functions. In the one-dimensional case, where one has no condensation in the free case, we showed that this property persist also in the presence of the lattice. In addition we formulated some conditions on the spectral functions which would allow for condensation.

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21

Wang, Xian-Zhi. "Critical temperature of Bose–Einstein condensation of a dilute Bose gas." Physica A: Statistical Mechanics and its Applications 341 (October 2004): 433–43. http://dx.doi.org/10.1016/j.physa.2004.04.125.

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22

Grossmann, Siegfried, and Martin Holthaus. "λ-Transition to the Bose-Einstein Condensate." Zeitschrift für Naturforschung A 50, no. 10 (October 1, 1995): 921–30. http://dx.doi.org/10.1515/zna-1995-1003.

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Abstract We study Bose-Einstein condensation of comparatively small numbers of atoms trapped by a three-dimensional harmonic oscillator potential. Under the assumption that grand canonical statistics applies, we derive analytical expressions for the condensation temperature, the ground state occupation, and the specific heat capacity. For a gas of TV atoms the condensation temperature is proportional to N1/3, apart from a downward shift of order N-1/3. A signature of the condensation is a pronounced peak of the heat capacity. For not too small N the heat capacity is nearly discontinuous at the onset of condensation; the magnitude of the jump is about 6.6 N k. Our continuum approximations are derived with the help of the proper density of states which allows us to calculate finite-AT-corrections, and checked against numerical computations.

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23

CHEN, LIWEI, GUOZHEN SU, and JINCAN CHEN. "THE EFFECTS OF A FINITE NUMBER OF PARTICLES ON TWO TRAPPED QUANTUM GASES." International Journal of Modern Physics B 25, no. 32 (December 30, 2011): 4435–42. http://dx.doi.org/10.1142/s0217979211059243.

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The effects of a finite number of particles on the thermodynamic properties of ideal Bose and Fermi gases trapped in any-dimensional harmonic potential are investigated. The orders of relative corrections to the thermodynamic quantities due to the finite number of particles are estimated in different situations. The results obtained for the two trapped quantum gases are compared, and consequently, it is shown that the finite-particle-number effects for the condensed Bose gas (a Bose gas with Bose–Einstein Condensation (BEC) occurring in the system) are much more significant than those for the Fermi gas and normal Bose gas (a Bose gas without BEC).

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24

Yan, Zijun. "Bose-Einstein condensation of a trapped gas inndimensions." Physical Review A 59, no. 6 (June 1, 1999): 4657–59. http://dx.doi.org/10.1103/physreva.59.4657.

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25

Schelle, A. "Spontaneously Broken Gauge Symmetry in a Bose Gas with Constant Particle Number." Fluctuation and Noise Letters 16, no. 01 (February 2017): 1750009. http://dx.doi.org/10.1142/s0219477517500092.

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The interplay between spontaneously broken gauge symmetries and Bose–Einstein condensation has long been controversially discussed in science, since the equations of motion are invariant under phase transformations. Within the present model, it is illustrated that spontaneous symmetry breaking appears as a non-local process in position space, but within disjoint subspaces of the underlying Hilbert space. Numerical simulations show that it is the symmetry of the relative phase distribution between condensate and non-condensate quantum fields which is spontaneously broken when passing the critical temperature for Bose–Einstein condensation. Since the total number of gas particles remains constant over time, the global U(1)-gauge symmetry of the system is preserved.

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26

TSURUMI, TAKEYA, HIROFUMI MORISE, and MIKI WADATI. "STABILITY OF BOSE–EINSTEIN CONDENSATES CONFINED IN TRAPS." International Journal of Modern Physics B 14, no. 07 (March 20, 2000): 655–719. http://dx.doi.org/10.1142/s0217979200000595.

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Bose–Einstein condensation has been realized as dilute atomic vapors. This achievement has generated immense interest in this field. This article review of recent theoretical research into the properties of trapped dilute-gas Bose–Einstein condensates. Among these properties, stability of Bose–Einstein condensates confined in traps is mainly discussed. Static properties of the ground state are investigated by using the variational method. The analysis is extended to the stability of two-component condensates. Time-development of the condensate is well-described by the Gross–Pitaevskii equation which is known in nonlinear physics as the no nlinear Schrödinger equation. For the case that the inter-atomic potential is effectively attractive, a singularity of the solution emerges in a finite time. This phenomenon which we call collapse explains the upper bound for the number of atoms in such condensates under traps.

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27

Luo, Dekun, and Lan Yin. "Critical temperature of pair condensation in a dilute Bose gas with spin–orbit coupling." International Journal of Modern Physics B 31, no. 25 (October 10, 2017): 1745012. http://dx.doi.org/10.1142/s0217979217450126.

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We study the Bardeen–Cooper–Shrieffer (BCS) pairing state of a two-component Bose gas with a symmetric spin–orbit coupling (SOC). In the dilute limit at low temperature, this system is essentially a dilute gas of diatomic molecules. We compute the effective mass of the molecule and find that it is anisotropic in momentum space. The critical temperature of the pairing state is about eight times smaller than the Bose–Einstein condensation (BEC) transition temperature of an ideal Bose gas with the same density.

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28

Du, Cong-Fei, and Xiang-Mu Kong. "Bose–Einstein condensation of a relativistic Bose gas in a harmonic potential." Physica B: Condensed Matter 407, no. 12 (June 2012): 1973–77. http://dx.doi.org/10.1016/j.physb.2012.01.097.

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29

Wu, H., and E. Arimondo. "Expansion of the non-condensed trapped Bose gas in Bose-Einstein condensation." Europhysics Letters (EPL) 43, no. 2 (July 15, 1998): 141–46. http://dx.doi.org/10.1209/epl/i1998-00332-7.

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30

LI, HONG, YING WANG, XIANG-MU KONG, and ZHEN-QUAN LIN. "BOSE–EINSTEIN CONDENSATION OF A RELATIVISTIC IDEAL BOSE GAS IN RANDOM BOX." Modern Physics Letters B 26, no. 12 (April 26, 2012): 1250075. http://dx.doi.org/10.1142/s0217984912500753.

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Using semi-classical approximation method, the Bose–Einstein condensation (BEC) of a relativistic ideal boson gas (RIBG) in random box is studied. The exact BEC transition temperature Tc and Helmholtz free energy at Tc are derived. The phase diagrams in the (Δ, T) plane are obtained, where Δ is the fluctuation of the box length and T is the temperature of the system. We find that Tc is lowered by the presence of the quenched disorder caused by the random boundary conditions. The effects of antibosons on the RIBG are also studied and it is found that the Helmholtz free energy of the system with antibosons at Tc is lower than that of the system without antibosons. This implies that the omission of antibosons always leads to a metastable state.

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31

Chen, Lixuan, Zijun Yan, Mingzhe Li, and Chuanhong Chen. "Bose-Einstein condensation of an ideal Bose gas trapped in any dimension." Journal of Physics A: Mathematical and General 31, no. 41 (October 16, 1998): 8289–94. http://dx.doi.org/10.1088/0305-4470/31/41/003.

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32

Dzyapko, O., V. E. Demidov, G. A. Melkov, and S. O. Demokritov. "Bose–Einstein condensation of spin wave quanta at room temperature." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 369, no. 1951 (September 28, 2011): 3575–87. http://dx.doi.org/10.1098/rsta.2011.0128.

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Spin waves are delocalized excitations of magnetic media that mainly determine their magnetic dynamics and thermodynamics at temperatures far below the critical one. The quantum-mechanical counterparts of spin waves are magnons, which can be considered as a gas of weakly interacting bosonic quasi-particles. Here, we discuss the room-temperature kinetics and thermodynamics of the magnon gas in yttrium iron garnet films driven by parametric microwave pumping. We show that for high enough pumping powers, the thermalization of the driven gas results in a quasi-equilibrium state described by Bose–Einstein statistics with a non-zero chemical potential. Further increases of the pumping power cause a Bose–Einstein condensation documented by an observation of the magnon accumulation at the lowest energy level. Using the sensitivity of the Brillouin light scattering spectroscopy to the degree of coherence of the scattering magnons, we confirm the spontaneous emergence of coherence of the magnons accumulated at the bottom of the spectrum, occurring if their density exceeds a critical value.

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33

BOGOLUBOV, N. N., M. CORGINI, and D. P. SANKOVICH. "MODEL OF THE LATTICE BOSON GAS: ρ-CONDENSATION." Modern Physics Letters B 06, no. 04 (February 20, 1992): 215–20. http://dx.doi.org/10.1142/s0217984992000284.

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For the υ-dimensional lattice boson gas with the onsite repulsion and nearest neighbour sites attraction, we prove the existence of phase transition for ν≥3 and sufficiently large density when temperature is sufficiently small. This phase transition is connected with some type of Bose-Einstein condensation (ρ-condensation.4).

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34

Kolomeitsev, Evgeni E., Maxim E. Borisov, and Dmitry N. Voskresensky. "Particle number fluctuations in a non-ideal pion gas." EPJ Web of Conferences 182 (2018): 02066. http://dx.doi.org/10.1051/epjconf/201818202066.

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We consider a non-ideal hot pion gas with the dynamically fixed number of particles in the model with the λφ4 interaction. The effective Lagrangian for the description of such a system is obtained by dropping the terms responsible for the change of the total particle number. Within the self-consistent Hartree approximation, we compute the effective pion mass, thermodynamic characteristics of the system and identify a critical point of the induced Bose-Einstein condensation when the pion chemical potential reaches the value of the effective pion mass. The normalized variance, skewness, and kurtosis of the particle number distributions are calculated. We demonstrate that all these characteristics remain finite at the critical point of the Bose-Einstein condensation. This is due to the non-perturbative account of the interaction and is in contrast to the ideal-gas case.

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35

Ubriaco, Marcelo R. "Bose-Einstein condensation of a quantum group boson gas." Physical Review E 57, no. 1 (January 1, 1998): 179–83. http://dx.doi.org/10.1103/physreve.57.179.

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36

Davis, K. B., M. O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle. "Bose-Einstein Condensation in a Gas of Sodium Atoms." Physical Review Letters 75, no. 22 (November 27, 1995): 3969–73. http://dx.doi.org/10.1103/physrevlett.75.3969.

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37

Algin, Abdullah. "Bose–Einstein condensation in a gas of Fibonacci oscillators." Journal of Statistical Mechanics: Theory and Experiment 2008, no. 10 (October 9, 2008): P10009. http://dx.doi.org/10.1088/1742-5468/2008/10/p10009.

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38

HOMORODEAN, LAUREAN. "MAGNETIC SUSCEPTIBILITY OF THE RELATIVISTIC BOSON GAS." Modern Physics Letters B 15, no. 25 (October 30, 2001): 1147–54. http://dx.doi.org/10.1142/s021798490100283x.

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We present the temperature dependences of the magnetic susceptibilities for degenerate (below the Bose–Einstein-condensation temperature) and nondegenerate ideal gases of relativistic charged spinless bosons. The nonrelativistic limits of these laws are also discussed. A comparison with the relativistic electron gas is made.

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39

SALASNICH, LUCA. "BEC IN NONEXTENSIVE STATISTICAL MECHANICS: SOME ADDITIONAL RESULTS." International Journal of Modern Physics B 15, no. 09 (April 10, 2001): 1253–56. http://dx.doi.org/10.1142/s0217979201004708.

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In a recent paper1 we discussed the Bose–Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a confining harmonic potential. In this memoir we generalize our previous analysis by investigating an ideal Bose gas in a generic power-law external potential. We derive analytical formulas for the energy of the system, the BEC transition temperature and the condensed fraction.

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40

GRAHAM, ROBERT, and AXEL PELSTER. "ORDER VIA NONLINEARITY IN RANDOMLY CONFINED BOSE GASES." International Journal of Bifurcation and Chaos 19, no. 08 (August 2009): 2745–53. http://dx.doi.org/10.1142/s0218127409024451.

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A Hartree–Fock mean-field theory of a weakly interacting Bose-gas in a quenched white noise disorder potential is presented. A direct continuous transition from the normal gas to a localized Bose-glass phase is found which has localized short-lived excitations with a gapless density of states and vanishing superfluid density. The critical temperature of this transition is as for an ideal gas undergoing Bose–Einstein condensation. Increasing the particle-number density a first-order transition from the localized state to a superfluid phase perturbed by disorder is found. At intermediate number densities both phases can coexist.

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41

CORGINI, M., and D. P. SANKOVICH. "GAUSSIAN DOMINATION AND BOSE–EINSTEIN CONDENSATION IN THE INTERACTING BOSON GAS." International Journal of Modern Physics B 13, no. 27 (October 30, 1999): 3235–43. http://dx.doi.org/10.1142/s0217979299002988.

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A Davies model of an imperfect boson gas is considered. The model includes not only a convex, but also a concave type of an interaction function which depends on a dencity operator. A sufficient condition of the Bose–Einstein condensation is proved. An exact value of the critical temperature is obtained.

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42

Swarup, A., and B. Cowan. "Fermi–Bose Correspondence and Bose–Einstein Condensation in the Two-Dimensional Ideal Gas." Journal of Low Temperature Physics 134, no. 3/4 (February 2004): 881–95. http://dx.doi.org/10.1023/b:jolt.0000013207.24358.7e.

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43

Abulseoud, A. A., A. H. Abbas, A. A. Galal, and Th M. El-Sherbini. "Bose–Einstein condensation in a two-component Bose gas with harmonic oscillator interaction." Journal of Statistical Mechanics: Theory and Experiment 2016, no. 7 (July 21, 2016): 073304. http://dx.doi.org/10.1088/1742-5468/2016/07/073304.

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44

Boudjemâa, Abdelâali. "Superfluidity and Bose–Einstein Condensation in a Dipolar Bose Gas with Weak Disorder." Journal of Low Temperature Physics 180, no. 5-6 (June 10, 2015): 377–93. http://dx.doi.org/10.1007/s10909-015-1312-z.

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45

CORGINI, M., and D. P. SANKOVICH. "STUDY OF A NON-INTERACTING BOSON GAS." International Journal of Modern Physics B 16, no. 03 (January 30, 2002): 497–509. http://dx.doi.org/10.1142/s0217979202009329.

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For a non-interacting many particle Bose system whose energy operator is diagonal in the number of occupation operators [Formula: see text] upper bounds on the thermal averages [Formula: see text] are obtained. These bounds lead to the proof of Bose–Einstein condensation for finite values of the inverse temperature β and for chemical potential μ=0. Finally for μ<0, in the case of a generalization of the studied model system, the property of Local Gaussian Domination for the grand canonical partition function is proved.

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46

Al-Sugheir, Mohamed K., Mufeed A. Awawdeh, Humam B. Ghassib, and Emad Alhami. "Bose–Einstein condensation in one-dimensional optical lattices: Bogoliubov’s approximation and beyond." Canadian Journal of Physics 94, no. 7 (July 2016): 697–703. http://dx.doi.org/10.1139/cjp-2016-0019.

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Bose–Einstein condensation in a finite one-dimensional atomic Bose gas trapped in an optical lattice is studied within Bogoliubov’s approximation and then beyond this approximation, within the static fluctuation approximation. A Bose–Hubbard model is used to construct the Hamiltonian of the system. The effect of the potential strength on the condensate fraction is explored at different temperatures; so is the effect of temperature on this fraction at different potential strengths. The role of the number of lattice points (the size effect) at constant number density (the filling factor) is examined; so is the effect of the number density on the condensate fraction. The results obtained are compared to other published results wherever possible.

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47

SALASNICH, LUCA. "BEC IN NONEXTENSIVE STATISTICAL MECHANICS." International Journal of Modern Physics B 14, no. 04 (February 10, 2000): 405–9. http://dx.doi.org/10.1142/s0217979200000388.

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We discuss the Bose–Einstein condensation (BEC) for an ideal gas of bosons in the framework of Tsallis's nonextensive statistical mechanics. We study the corrections to the st and ard BEC formulas due to a weak nonextensivity of the system. In particular, we consider three cases in the D-dimensional space: the homogeneous gas, the gas in a harmonic trap and the relativistic homogenous gas. The results show that small deviations from the extensive Bose statistics produce remarkably large changes in the BEC transition temperature.

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48

Ou, Meng-Jun, and Ji-Xuan Hou. "Harmonically confined Bose–Einstein condensation on the surface of a cylinder." Modern Physics Letters B 35, no. 17 (March 31, 2021): 2150285. http://dx.doi.org/10.1142/s0217984921502857.

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It is well known that Bose–Einstein condensation cannot occur in a free two-dimensional (2D) system. Recently, several studies have showed that BEC can occur on the surface of a sphere. We investigate BEC on the surface of cylinder on both sides of which atoms are confined in a one-dimensional (1D) harmonic potential. In this work, only the non-interacting Bose gas is considered. We determine the critical temperature and the condensate fraction in the geometry using the semi-classical approximation. Moreover, the thermodynamic properties of ideal bosons are also studied using the grand canonical partition function.

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49

Bouzenna, F. E., M. T. Meftah, and M. Difallah. "The effect of non-local derivative on Bose-Einstein condensation." Condensed Matter Physics 24, no. 1 (March 2021): 13002. http://dx.doi.org/10.5488/cmp.24.13002.

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In this paper, we study the effect of non-local derivative on Bose-Einstein condensation. Firstly, we consider the Caputo-Fabrizio derivative of fractional order α to derive the eigenvalues of non-local Schrödinger equation for a free particle in a 3D box. Afterwards, we consider 3D Bose-Einstein condensation of an ideal gas with the obtained energy spectrum. Interestingly, in this approach the critical temperatures Tc of condensation for 1 < α < 2 are greater than the standard one. Furthermore, the condensation in 2D is shown to be possible. Second and for comparison, we presented, on the basis of a spectrum established by N. Laskin, the critical transition temperature as a function of the fractional parameter α for a system of free bosons governed by an Hamiltonian with power law on the moment (H~pα). In this case, we have demonstrated that the transition temperature is greater than the standard one. By comparing the two transition temperatures (relative to Caputo-Fabrizio and to Laskin), we have found for fixed α and the density ρ that the transition temperature relative to Caputo-fabrizio is greater than relative to Laskin.

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R-MONTEIRO, M., and L. M. C. S. RODRIGUES. "INEQUIVALENT REPRESENTATIONS OF A q-OSCILLATOR ALGEBRA IN A QUANTUM q-GAS." Modern Physics Letters B 09, no. 14 (June 20, 1995): 883–87. http://dx.doi.org/10.1142/s021798499500084x.

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We study the consequences of inequivalent representations of a q-oscillator algebra on a quantum q-gas. As in the "fundamental" representation of the algebra, the q-gas presents the Bose-Einstein condensation phenomenon and a λ-point transition. The virial expansion and the critical temperature of condensation are very sensible to the representation chosen; instead, the discontinuity in the λ-point transition is unaffected.

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