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Journal articles on the topic '1D Bose gases'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

Köhl, M., T. Stöferle, H. Moritz, C. Schori, and T. Esslinger. "1D Bose gases in an optical lattice." Applied Physics B 79, no. 8 (December 2004): 1009–12. http://dx.doi.org/10.1007/s00340-004-1662-8.

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2

Malvania, Neel, Yicheng Zhang, Yuan Le, Jerome Dubail, Marcos Rigol, and David S. Weiss. "Generalized hydrodynamics in strongly interacting 1D Bose gases." Science 373, no. 6559 (September 3, 2021): 1129–33. http://dx.doi.org/10.1126/science.abf0147.

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3

Guan, Xiwen. "Critical phenomena in one dimension from a Bethe ansatz perspective." International Journal of Modern Physics B 28, no. 24 (August 5, 2014): 1430015. http://dx.doi.org/10.1142/s0217979214300151.

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This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions and correlations for a few prototypical exactly solved models, such as the Lieb–Liniger Bose gas, the spin-1 Bose gas with antiferromagnetic spin-spin interaction, the two-component interacting Fermi gas as well as spin-3/2 Fermi gases. We demonstrate that their corresponding Bethe ansatz solutions provide a precise way to understand quantum many-body physics, such as quantum criticality, Luttinger liquids (LLs), the Wilson ratio, Tan's Contact, etc. These theoretical developments give rise to a physical perspective using integrability for uncovering experimentally testable phenomena in systems of interacting bosonic and fermonic ultracold atoms confined to 1D.

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4

Arahata, Emiko, and Tetsuro Nikuni. "Bose-Condensed Gases in a 1D Optical Lattice at Finite Temperatures." Journal of Low Temperature Physics 148, no. 3-4 (May 30, 2007): 345–49. http://dx.doi.org/10.1007/s10909-007-9396-8.

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5

Langen, T., T. Schweigler, E. Demler, and J. Schmiedmayer. "Double light-cone dynamics establish thermal states in integrable 1D Bose gases." New Journal of Physics 20, no. 2 (February 15, 2018): 023034. http://dx.doi.org/10.1088/1367-2630/aaaaa5.

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6

Díaz, Pablo, David Laroze, and Boris Malomed. "The Variational Reduction for Low-Dimensional Fermi Gases and Bose–Fermi Mixtures: A Brief Review." Condensed Matter 4, no. 1 (February 10, 2019): 22. http://dx.doi.org/10.3390/condmat4010022.

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We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose–Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the three-dimensional (3D) equations of motion to 2D and 1D effective equations. In both cases, comparison of the low-dimensional reductions to the full model is performed, showing very good agreement for ground-state solutions. Some complex dynamical regimes are reported too for the corresponding 1D systems.

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7

LECLAIR, ANDRÉ. "INTERACTING BOSE AND FERMI GASES IN LOW DIMENSIONS AND THE RIEMANN HYPOTHESIS." International Journal of Modern Physics A 23, no. 09 (April 10, 2008): 1371–91. http://dx.doi.org/10.1142/s0217751x08039451.

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We apply the S-matrix based finite temperature formalism to nonrelativistic Bose and Fermi gases in 1+1 and 2+1 dimensions. For the (2+1)-dimensional case in the constant scattering length approximation, the free energy is given in terms of Roger's dilogarithm in a way analagous to the thermodynamic Bethe ansatz for the relativistic (1+1)-dimensional case. The 1d fermionic case with a quasiperiodic two-body potential is closely connected with the Riemann hypothesis.

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8

Datta, S. "A Path Integral Monte Carlo Study of Anderson Localization in Cold Gases in the Presence of Disorder." International Journal of Computational Methods 13, no. 06 (November 2, 2016): 1650032. http://dx.doi.org/10.1142/s0219876216500328.

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We revisit the problem of Anderson localization in a trapped Bose–Einstein condensate in 1D and 3D in a disordered potential, applying Quantum Monte Carlo technique because the disorder cannot be treated accurately in a perturbative way as even a small amount of disorder can produce dramatic changes in the physical properties of the system under investigation. Till date no unambiguous evidence of localization has been observed for matter waves in 3D. Matter waves made up of cold atoms are good candidates for such investigations. Simulations are performed for Rb gas in continuous space using canonical ensemble in the case of random and quasi-periodic potentials. To realize random and quasiperiodic potentials numerically we use speckle and bichromatic potentials, respectively. Owing to the high degree of control over the system parameters we specifically study the interplay of disorder and interaction in the system. A dilute Bose gas placed in a random environment falls into a fragmented localized state and the ergodicity (the repetitiveness of the wave function) is lost. An arbitrary Interaction can slowly overcome the effect of disorder and restore the ergodicity again. We observe that as the interaction strength increases, the wave functions become more and more delocalized. Since vanishing of Lyapunov exponent is only a necessary but not a sufficient condition for delocalization for probing the localization we calculate the mean square displacements as an alternative measure of localization. The path integral Monte Carlo technique in this paper numerically establishes the existing predictions of the scaling theory so far and paves a clear path for the further investigation of scaling theory to calculate more complicated properties like ‘critical exponents’ etc. in disordered quantum gases.

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9

Hodges, Ben R. "An Artificial Compressibility Method for 1D Simulation of Open-Channel and Pressurized-Pipe Flow." Water 12, no. 6 (June 17, 2020): 1727. http://dx.doi.org/10.3390/w12061727.

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Piping systems (e.g., storm sewers) that transition between free-surface flow and surcharged flow are challenging to model in one-dimensional (1D) networks as the continuity equation changes from hyperbolic to elliptic as the water surface reaches the pipe ceiling. Previous network models are known to have poor mass conservation or unpredictable convergence behavior at such transitions. To address this problem, a new algorithm is developed for simulating unsteady 1D flow in closed conduits with both free-surface and surcharged flow. The shallow-water (hydrostatic) approximation is used as the governing equations. The artificial compressibility (AC) method is implemented as a dual-time-stepping discretization for a finite-volume solver with timescale interpolation used for face reconstruction. A new formulation for the AC celerity parameter is proposed such that the AC celerity matches the equivalent gravity wave speed for the local hydraulic head—which has some similarities to the classic Preissmann Slot used to approximate pressurized flow in conduits. The new approach allows the AC celerity to be set locally by the flow (i.e., non-uniform in space) and removes it as a free parameter of the AC solution method. The derivation of the AC method provides for only a minor change in the form of the solution equations when a computational element switches from free-surface to surcharged. The new solver is tested for both unsteady free-surface (supercritical, subcritical) and surcharged flow transitions in a circular pipe and is implemented in an open-source Python code available under the name “PipeAC.” The results are compared to laboratory experiments that include rapid flow changes due to opening/closing of gates. Results show that the new algorithm is satisfactory for 1D representation of unsteady transition behavior with two caveats: (i) sufficient grid resolution must be applied, and (ii) the shallow-water equation approximations (hydrostatic, single-fluid) limit the accuracy of the solution with regards to the celerity of the turbulent unsteady bore that propagates upstream. This research might benefit any piping network model that must smoothly handle unsteady transitions from free surface to surcharged flow.

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10

Zundel, Laura A., Joshua M. Wilson, Neel Malvania, Lin Xia, Jean-Felix Riou, and David S. Weiss. "Energy-Dependent Three-Body Loss in 1D Bose Gases." Physical Review Letters 122, no. 1 (January 9, 2019). http://dx.doi.org/10.1103/physrevlett.122.013402.

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11

Hummel, Quirin, Juan Diego Urbina, and Klaus Richter. "Partial Fermionization: Spectral Universality in 1D Repulsive Bose Gases." Physical Review Letters 122, no. 24 (June 17, 2019). http://dx.doi.org/10.1103/physrevlett.122.240601.

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12

Gangardt, D. M., and G. V. Shlyapnikov. "Stability and Phase Coherence of Trapped 1D Bose Gases." Physical Review Letters 90, no. 1 (January 2, 2003). http://dx.doi.org/10.1103/physrevlett.90.010401.

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13

Lugan, P., D. Clément, P. Bouyer, A. Aspect, M. Lewenstein, and L. Sanchez-Palencia. "Ultracold Bose Gases in 1D Disorder: From Lifshits Glass to Bose-Einstein Condensate." Physical Review Letters 98, no. 17 (April 27, 2007). http://dx.doi.org/10.1103/physrevlett.98.170403.

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14

Reinhard, Aaron, Jean-Félix Riou, Laura A. Zundel, David S. Weiss, Shuming Li, Ana Maria Rey, and Rafael Hipolito. "Self-Trapping in an Array of Coupled 1D Bose Gases." Physical Review Letters 110, no. 3 (January 14, 2013). http://dx.doi.org/10.1103/physrevlett.110.033001.

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15

Rohringer, W., D. Fischer, F. Steiner, I. E. Mazets, J. Schmiedmayer, and M. Trupke. "Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas." Scientific Reports 5, no. 1 (April 13, 2015). http://dx.doi.org/10.1038/srep09820.

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Abstract We present experimental evidence for scale invariant behaviour of the excitation spectrum in phase-fluctuating quasi-1d Bose gases after a rapid change of the external trapping potential. Probing density correlations in free expansion, we find that the temperature of an initial thermal state scales with the spatial extension of the cloud as predicted by a model based on adiabatic rescaling of initial eigenmodes with conserved quasiparticle occupation numbers. Based on this result, we demonstrate that shortcuts to adiabaticity for the rapid expansion or compression of the gas do not induce additional heating.

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16

Brun, Yannis, and Jerome Dubail. "The Inhomogeneous Gaussian Free Field, with application to ground state correlations of trapped 1d Bose gases." SciPost Physics 4, no. 6 (June 25, 2018). http://dx.doi.org/10.21468/scipostphys.4.6.037.

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This formalism is then applied to the study of ground state correlations of the Lieb-Liniger gas trapped in an external potential V(x)V(x). Relations with previous works on inhomogeneous Luttinger liquids are discussed. The main innovation here is in the identification of local observables \hat{O} (x)Ô(x) in the microscopic model with their field theory counterparts \partial_x h, e^{i h(x)}, e^{-i h(x)}∂xh,eih(x),e−ih(x), etc., which involve non-universal coefficients that themselves depend on position — a fact that, to the best of our knowledge, was overlooked in previous works on correlation functions of inhomogeneous Luttinger liquids —, and that can be calculated thanks to Bethe Ansatz form factors formulae available for the homogeneous Lieb-Liniger model. Combining those position-dependent coefficients with the correlation functions of the IGFF, ground state correlation functions of the trapped gas are obtained. Numerical checks from DMRG are provided for density-density correlations and for the one-particle density matrix, showing excellent agreement.

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17

Clément, D., N. Fabbri, L. Fallani, C. Fort, and M. Inguscio. "Exploring Correlated 1D Bose Gases from the Superfluid to the Mott-Insulator State by Inelastic Light Scattering." Physical Review Letters 102, no. 15 (April 13, 2009). http://dx.doi.org/10.1103/physrevlett.102.155301.

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