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1

Viet Hoa, Le, Nguyen Tuan Anh, Nguyen Chinh Cuong, and Dang Thi Minh Hue. "HYDRODYNAMIC INSTABILITIES OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES." Journal of Science, Natural Science 60, no. 7 (2015): 121–28. http://dx.doi.org/10.18173/2354-1059.2015-0041.

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2

SHI, YU. "ENTANGLEMENT BETWEEN BOSE–EINSTEIN CONDENSATES." International Journal of Modern Physics B 15, no. 22 (September 10, 2001): 3007–30. http://dx.doi.org/10.1142/s0217979201007154.

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For a Bose condensate in a double-well potential or with two Josephson-coupled internal states, the condensate wavefunction is a superposition. Here we consider coupling two such Bose condensates, and suggest the existence of a joint condensate wavefunction, which is in general a superposition of all products of the bases condensate wavefunctions of the two condensates. The corresponding many-body state is a product of such superposed wavefunctions, with appropriate symmetrization. These states may be potentially useful for quantum computation. There may be robustness and stability due to macroscopic occupation of a same single particle state. The nonlinearity of the condensate wavefunction due to particle–particle interaction may be utilized to realize nonlinear quantum computation, which was suggested to be capable of solving NP-complete problems.
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3

Viet Hoa, Le, Nguyen Tuan Anh, Le Huy Son, and Nguyen Van Hop. "THE INTERFACE PROPERTIES OF TWO-COMPONENT BOSE-EINSTEIN CONDENSATES." Journal of Science, Natural Science 60, no. 7 (2015): 88–93. http://dx.doi.org/10.18173/2354-1059.2015-0037.

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4

Liu, Zuhan. "Two-component Bose–Einstein condensates." Journal of Mathematical Analysis and Applications 348, no. 1 (December 2008): 274–85. http://dx.doi.org/10.1016/j.jmaa.2008.07.033.

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5

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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6

KASAMATSU, KENICHI, MAKOTO TSUBOTA, and MASAHITO UEDA. "VORTICES IN MULTICOMPONENT BOSE–EINSTEIN CONDENSATES." International Journal of Modern Physics B 19, no. 11 (April 30, 2005): 1835–904. http://dx.doi.org/10.1142/s0217979205029602.

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We review the topic of quantized vortices in multicomponent Bose–Einstein condensates of dilute atomic gases, with an emphasis on the two-component condensates. First, we review the fundamental structure, stability and dynamics of a single vortex state in a slowly rotating two-component condensates. To understand recent experimental results, we use the coupled Gross–Pitaevskii equations and the generalized nonlinear sigma model. An axisymmetric vortex state, which was observed by the JILA group, can be regarded as a topologically trivial skyrmion in the pseudospin representation. The internal, coherent coupling between the two components breaks the axisymmetry of the vortex state, resulting in a stable vortex molecule (a meron pair). We also mention unconventional vortex states and monopole excitations in a spin-1 Bose–Einstein condensate. Next, we discuss a rich variety of vortex states realized in rapidly rotating two-component Bose–Einstein condensates. We introduce a phase diagram with axes of rotation frequency and the intercomponent coupling strength. This phase diagram reveals unconventional vortex states such as a square lattice, a double-core lattice, vortex stripes and vortex sheets, all of which are in an experimentally accessible parameter regime. The coherent coupling leads to an effective attractive interaction between two components, providing not only a promising candidate to tune the intercomponent interaction to study the rich vortex phases but also a new regime to explore vortex states consisting of vortex molecules characterized by anisotropic vorticity. A recent experiment by the JILA group vindicated the formation of a square vortex lattice in this system.
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7

Pereira, Lucas Carvalho, and Valter Aragão do Nascimento. "Dynamics of Bose–Einstein Condensates Subject to the Pöschl–Teller Potential through Numerical and Variational Solutions of the Gross–Pitaevskii Equation." Materials 13, no. 10 (May 13, 2020): 2236. http://dx.doi.org/10.3390/ma13102236.

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We present for the first time an approach about Bose–Einstein condensates made up of atoms with attractive interatomic interactions confined to the Pöschl–Teller hyperbolic potential. In this paper, we consider a Bose–Einstein condensate confined in a cigar-shaped, and it was modeled by the mean field equation known as the Gross–Pitaevskii equation. An analytical (variational method) and numerical (two-step Crank–Nicolson) approach is proposed to study the proposed model of interatomic interaction. The solutions of the one-dimensional Gross–Pitaevskii equation obtained in this paper confirmed, from a theoretical point of view, the possibility of the Pöschl–Teller potential to confine Bose–Einstein condensates. The chemical potential as a function of the depth of the Pöschl–Teller potential showed a behavior very similar to the cases of Bose–Einstein condensates and superfluid Fermi gases in optical lattices and optical superlattices. The results presented in this paper can open the way for several applications in atomic and molecular physics, solid state physics, condensed matter physics, and material sciences.
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8

Alekseev, V. A. "Interference of two Bose-Einstein condensates." Journal of Experimental and Theoretical Physics Letters 69, no. 7 (April 1999): 526–31. http://dx.doi.org/10.1134/1.568062.

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9

Yoo, Sung Mi, Janne Ruostekoski, and Juha Javanainen. "Interference of two Bose–Einstein condensates." Journal of Modern Optics 44, no. 10 (October 1997): 1763–74. http://dx.doi.org/10.1080/09500349708231845.

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10

MI YOO JANNE RUOSTEKOSKI and JUHA J, SUNG. "Interference of two Bose-Einstein condensates." Journal of Modern Optics 44, no. 10 (October 1, 1997): 1763–74. http://dx.doi.org/10.1080/095003497152799.

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11

Liu, Zuhan. "Rotating Two-Component Bose-Einstein Condensates." Acta Applicandae Mathematicae 110, no. 1 (January 6, 2009): 367–98. http://dx.doi.org/10.1007/s10440-008-9417-x.

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12

Öhberg, P., and L. Santos. "Solitons in two-component Bose-Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 34, no. 23 (November 23, 2001): 4721–35. http://dx.doi.org/10.1088/0953-4075/34/23/316.

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13

Jezek, D. M., and P. Capuzzi. "Vortices in two-component Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 38, no. 24 (November 30, 2005): 4389–98. http://dx.doi.org/10.1088/0953-4075/38/24/005.

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14

Metlitski, Max A., and Ariel R. Zhitnitsky. "Vortons in two Component Bose-Einstein Condensates." Journal of High Energy Physics 2004, no. 06 (June 12, 2004): 017. http://dx.doi.org/10.1088/1126-6708/2004/06/017.

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15

Sinatra, A., P. O. Fedichev, Y. Castin, J. Dalibard, and G. V. Shlyapnikov. "Dynamics of Two Interacting Bose-Einstein Condensates." Physical Review Letters 82, no. 2 (January 11, 1999): 251–54. http://dx.doi.org/10.1103/physrevlett.82.251.

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16

Castin, Yvan, and Jean Dalibard. "Relative phase of two Bose-Einstein condensates." Physical Review A 55, no. 6 (June 1, 1997): 4330–37. http://dx.doi.org/10.1103/physreva.55.4330.

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17

ZHANG, SUN, and FAN WANG. "INTERFERENCE EFFECT OF THREE BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 16, no. 14 (June 20, 2002): 519–24. http://dx.doi.org/10.1142/s0217984902004056.

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The macroscopic interference of three Bose–Einstein condensates (BEC) is studied in this paper. The interference pattern between three condensates is given as a further demonstration of the existence of the global phase and the braking of U(1) gauge symmetry. Moreover, the difference between two and three condensates is also pointed out for further experiments.
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18

Wang, Wei, and Jinbin Li. "Anisotropic properties of phase separation in two-component dipolar Bose–Einstein condensates." Modern Physics Letters B 32, no. 09 (March 30, 2018): 1850021. http://dx.doi.org/10.1142/s0217984918500215.

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Using Crank–Nicolson method, we calculate ground state wave functions of two-component dipolar Bose–Einstein condensates (BECs) and show that, due to dipole–dipole interaction (DDI), the condensate mixture displays anisotropic phase separation. The effects of DDI, inter-component s-wave scattering, strength of trap potential and particle numbers on the density profiles are investigated. Three types of two-component profiles are present, first cigar, along z-axis and concentric torus, second pancake (or blood cell), in xy-plane, and two non-uniform ellipsoid, separated by the pancake and third two dumbbell shapes.
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19

Dunningham, Jacob, Keith Burnett, and William D. Phillips. "Bose–Einstein condensates and precision measurements." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 363, no. 1834 (July 28, 2005): 2165–75. http://dx.doi.org/10.1098/rsta.2005.1636.

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An ongoing challenge in physics is to make increasingly accurate measurements of physical quantities. Bose–Einstein condensates in atomic gases are ideal candidates for use in precision measurement schemes since they are extremely cold and have laser-like coherence properties. In this paper, we review these two attributes and discuss how they could be exploited to improve the resolution in a range of different measurements.
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20

Takeuchi, Hiromitsu, and Makoto Tsubota. "Boojums in Rotating Two-Component Bose–Einstein Condensates." Journal of the Physical Society of Japan 75, no. 6 (June 15, 2006): 063601. http://dx.doi.org/10.1143/jpsj.75.063601.

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21

Wang, Xiao-Min, Qiu-Yan Li, and Zai-Dong Li. "Superposition solitons in two-component Bose—Einstein condensates." Chinese Physics B 22, no. 5 (May 2013): 050311. http://dx.doi.org/10.1088/1674-1056/22/5/050311.

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22

Liu, Zuhan. "Phase separation of two-component Bose–Einstein condensates." Journal of Mathematical Physics 50, no. 10 (October 2009): 102104. http://dx.doi.org/10.1063/1.3243875.

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23

Ya-Jiang, Hao, and Liang Jiu-Qing. "Entanglement dynamics in two-component Bose–Einstein condensates." Chinese Physics 15, no. 6 (May 31, 2006): 1161–71. http://dx.doi.org/10.1088/1009-1963/15/6/007.

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24

Morise, Hirofumi, Takeya Tsurumi, and Miki Wadati. "Two-component Bose–Einstein condensates and their stability." Physica A: Statistical Mechanics and its Applications 281, no. 1-4 (June 2000): 432–41. http://dx.doi.org/10.1016/s0378-4371(00)00019-4.

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25

Wen, Linghua, and Jinghong Li. "Tunneling dynamics between two-component Bose–Einstein condensates." Physics Letters A 369, no. 4 (September 2007): 307–11. http://dx.doi.org/10.1016/j.physleta.2007.04.024.

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26

Maddaloni, P., M. Modugno, C. Fort, F. Minardi, and M. Inguscio. "Collective Oscillations of Two Colliding Bose-Einstein Condensates." Physical Review Letters 85, no. 12 (September 18, 2000): 2413–17. http://dx.doi.org/10.1103/physrevlett.85.2413.

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27

Li-Min, Yang, Yu Zhao-Xian, and Jiao Zhi-Yong. "Tunneling Dynamics of Two-Species Bose–Einstein Condensates." Communications in Theoretical Physics 39, no. 5 (May 15, 2003): 613–16. http://dx.doi.org/10.1088/0253-6102/39/5/613.

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28

Tempere, J., S. Ceuppens, and E. Vermeyen. "Composite vortices in two-component Bose-Einstein condensates." Journal of Physics: Conference Series 414 (February 8, 2013): 012035. http://dx.doi.org/10.1088/1742-6596/414/1/012035.

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29

Shukla, P. K., L. Stenflo, and R. Fedele. "Modulational Instability of Two Colliding Bose–Einstein Condensates." Physica Scripta 64, no. 6 (January 1, 2001): 553. http://dx.doi.org/10.1238/physica.regular.064a00553.

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30

Guo, Yu, and Xiao-Bing Luo. "Quantum Teleportation between Two Distant Bose—Einstein Condensates." Chinese Physics Letters 29, no. 6 (June 2012): 060303. http://dx.doi.org/10.1088/0256-307x/29/6/060303.

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31

Wong, T., M. J. Collett, and D. F. Walls. "Interference of two Bose-Einstein condensates with collisions." Physical Review A 54, no. 5 (November 1, 1996): R3718—R3721. http://dx.doi.org/10.1103/physreva.54.r3718.

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32

Jack, M. W., M. J. Collett, and D. F. Walls. "Coherent quantum tunneling between two Bose-Einstein condensates." Physical Review A 54, no. 6 (December 1, 1996): R4625—R4628. http://dx.doi.org/10.1103/physreva.54.r4625.

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33

Zhongxue, Lü, and Liu Zuhan. "Sharp thresholds of two-components Bose–Einstein condensates." Computers & Mathematics with Applications 58, no. 8 (October 2009): 1608–14. http://dx.doi.org/10.1016/j.camwa.2009.07.022.

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34

Snoke, D. W. "Coherence and Optical Emission from Bilayer Exciton Condensates." Advances in Condensed Matter Physics 2011 (2011): 1–7. http://dx.doi.org/10.1155/2011/938609.

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Experiments aimed at demonstrating Bose-Einstein condensation of excitons in two types of experiments with bilayer structures (coupled quantum wells) are reviewed, with an emphasis on the basic effects. Bose-Einstein condensation implies the existence of a macroscopic coherence, also known as off-diagonal long-range order, and proposed tests and past claims for coherence in these excitonic systems are discussed.
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35

SHU, P. L., L. C. WANG, and X. X. YI. "ENTANGLEMENT DYNAMICS OF FLUCTUATIONS IN TWO-MODE BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 24, no. 25 (October 10, 2010): 2571–80. http://dx.doi.org/10.1142/s0217984910024924.

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The entanglement dynamics of fluctuations in two weakly coupled Bose–Einstein condensates (BECs) is studied in this paper. By calculating the time evolution of entanglement between two fluctuations of condensates in a double-well potential, we show that the nonlinear tunneling transition can be reflected in the entanglement dynamics of fluctuations in BECs. This complements the study on the entanglement dynamics of BECs based on the mean-field approximation.
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36

CORGINI, M., C. ROJAS-MOLINA, and D. P. SANKOVICH. "COEXISTENCE OF NON-CONVENTIONAL CONDENSATES IN TWO-LEVEL BOSE ATOM SYSTEM." International Journal of Modern Physics B 22, no. 27 (October 30, 2008): 4799–815. http://dx.doi.org/10.1142/s0217979208048796.

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In the framework of the Bogolyubov approximation and using the Bogolyubov inequalities, we give a simple proof of the coexistence of two non-conventional Bose–Einstein condensates in the case of some superstable Bose system whose atoms have an internal two-level structure, and their energy operators in the second quantized form depend on the number operators only.
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37

Li, Song-Song. "Squeezing and entanglement in two-mode Bose–Einstein condensates." International Journal of Quantum Information 15, no. 06 (September 2017): 1750046. http://dx.doi.org/10.1142/s0219749917500460.

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We investigate the influence of one-body losses on the dynamics of squeezing and entanglement in two-mode Bose–Einstein condensates. We show that one-body losses play an important role in the dynamical process of generating squeezing and quantum entanglement. The stronger one-body losses induce smaller squeezing and lesser entanglement, but maintain in a longer time interval.
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38

Facchi, Paolo, Hiromichi Nakazato, Saverio Pascazio, Francesco V. Pepe, Golam Ali Sekh, and Kazuya Yuasa. "Phase randomization and typicality in the interference of two condensates." International Journal of Quantum Information 12, no. 07n08 (November 2014): 1560019. http://dx.doi.org/10.1142/s0219749915600199.

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Interference is observed when two independent Bose–Einstein condensates expand and overlap. This phenomenon is typical, in the sense that the overwhelming majority of wave functions of the condensates, uniformly sampled out of a suitable portion of the total Hilbert space, display interference with maximal visibility. We focus here on the phases of the condensates and their (pseudo) randomization, which naturally emerges when two-body scattering processes are considered. Relationship to typicality is discussed and analyzed.
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39

KEVREKIDIS, P. G., and D. J. FRANTZESKAKIS. "PATTERN FORMING DYNAMICAL INSTABILITIES OF BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 18, no. 05n06 (March 12, 2004): 173–202. http://dx.doi.org/10.1142/s0217984904006809.

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In this short topical review, we revisit a number of works on the pattern-forming dynamical instabilities of Bose–Einstein condensates in one- and two-dimensional settings. In particular, we illustrate the trapping conditions that allow the reduction of the three-dimensional, mean field description of the condensates (through the Gross–Pitaevskii equation) to such lower dimensional settings, as well as to lattice settings. We then go on to study the modulational instability in one dimension and the snaking/transverse instability in two dimensions as typical examples of long-wavelength perturbations that can destabilize the condensates and lead to the formation of patterns of coherent structures in them. Trains of solitons in one dimension and vortex arrays in two dimensions are prototypical examples of the resulting nonlinear waveforms, upon which we briefly touch at the end of this review.
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40

LIU, YONG-KAI, CONG ZHANG, and SHI-JIE YANG. "HALF-SKYRMION IN SPINOR BOSE–EINSTEIN CONDENSATES." Modern Physics Letters B 27, no. 25 (September 23, 2013): 1350183. http://dx.doi.org/10.1142/s0217984913501832.

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In this paper, we present exact solutions to the F = 1 spinor Bose–Einstein condensates with only spin-independent energy by adopting a method of separating the variables, which exhibit nontrivial topology. These solutions can form solitonic fractional vortex and solitonic half-skyrmion with a Q = 1/2 topological charge in the two-dimensional system. We further address a three-dimensional prototype solution.
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41

Pan, Feng, and J. P. Draayer. "Quantum critical behavior of two coupled Bose–Einstein condensates." Physics Letters A 339, no. 3-5 (May 2005): 403–7. http://dx.doi.org/10.1016/j.physleta.2005.03.027.

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42

Han, Junsik, and Makoto Tsubota. "Onsager Vortex Formation in Two-component Bose–Einstein Condensates." Journal of the Physical Society of Japan 87, no. 6 (June 15, 2018): 063601. http://dx.doi.org/10.7566/jpsj.87.063601.

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43

Liu, Yong-Kai, and Shi-Jie Yang. "Three-dimensional solitons in two-component Bose—Einstein condensates." Chinese Physics B 23, no. 11 (November 2014): 110308. http://dx.doi.org/10.1088/1674-1056/23/11/110308.

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44

LI, SONG-SONG, and XIAO-BING LAI. "SPIN SQUEEZING DYNAMICS IN TWO-COMPONENT BOSE–EINSTEIN CONDENSATES." International Journal of Quantum Information 11, no. 02 (March 2013): 1350016. http://dx.doi.org/10.1142/s0219749913500160.

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We investigate spin squeezing dynamics in a two-component Bose–Einstein condensate (BEC) in the presence of the nonlinear interatomic interaction, interspecies interaction and Josephson-like tunneling interaction. In particular, we are interesting in the dependence of spin squeezing parameter on the interspecies interaction and the numbers of atom. By adopting the two-mode approximation and the rotating wave approximation, we succeed in obtaining analytical solutions for the optimally squeezed angle and spin squeezing parameter. It is shown that the stronger interspecies interaction induces faster spin squeezing and the more atoms or the larger population imbalance induces stronger squeezing; while the Josephson-like tunneling gives vanishing contribution to spin squeezing.
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45

White, A. C., N. P. Proukakis, and C. F. Barenghi. "Topological stirring of two-dimensional atomic Bose-Einstein condensates." Journal of Physics: Conference Series 544 (October 20, 2014): 012021. http://dx.doi.org/10.1088/1742-6596/544/1/012021.

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46

Baizakov, B. B., A. M. Kamchatnov, and M. Salerno. "Matter sound waves in two-component Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 41, no. 21 (October 27, 2008): 215302. http://dx.doi.org/10.1088/0953-4075/41/21/215302.

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47

Sun, B., and M. S. Pindzola. "Observing collapse in two colliding dipolar Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 42, no. 17 (August 14, 2009): 175301. http://dx.doi.org/10.1088/0953-4075/42/17/175301.

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48

Jiang, Xin, Wen-shan Duan, Sheng-chang Li, and Yu-ren Shi. "Rosen–Zener transition of two-component Bose–Einstein condensates." Journal of Physics B: Atomic, Molecular and Optical Physics 42, no. 18 (September 8, 2009): 185001. http://dx.doi.org/10.1088/0953-4075/42/18/185001.

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49

Xiong, Hongwei, Shujuan Liu, and Mingsheng Zhan. "Interaction-induced interference for two independent Bose–Einstein condensates." New Journal of Physics 8, no. 10 (October 23, 2006): 245. http://dx.doi.org/10.1088/1367-2630/8/10/245.

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50

Smerzi, A., A. Trombettoni, T. Lopez-Arias, C. Fort, P. Maddaloni, F. Minardi, and M. Inguscio. "Macroscopic oscillations between two weakly coupled Bose-Einstein condensates." European Physical Journal B 31, no. 4 (February 2003): 457–61. http://dx.doi.org/10.1140/epjb/e2003-00055-1.

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