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The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

凝聚态物理 · 物理学 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari

We study, within the classical fields approximation, a two-dimensional weakly interacting uniform Bose gas of a finite number of atoms. By using a grand canonical ensemble formalism we show that such systems exhibit, in addition to the…

量子气体 · 物理学 2019-03-27 Krzysztof Gawryluk , Mirosław Brewczyk

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

统计力学 · 物理学 2009-11-11 Kwangsik Nho , D. P. Landau

We investigate the accuracy of two mean-field theories of the trapped two-dimensional Bose gas at predicting transition region properties by comparison to non-perturbative classical field calculations. To make these comparisons we examine…

量子气体 · 物理学 2009-11-01 R. N. Bisset , P. B. Blakie

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

量子气体 · 物理学 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

Two-dimensional (2D) systems play a special role in many-body physics. Because of thermal fluctuations, they cannot undergo a conventional phase transition associated to the breaking of a continuous symmetry. Nevertheless they may exhibit a…

We prepare and study strongly interacting two-dimensional Bose gases in the superfluid, the classical Berezinskii-Kosterlitz-Thouless (BKT) transition, and the vacuum-to-superfluid quantum critical regimes. A wide range of the two-body…

量子气体 · 物理学 2013-04-05 Li-Chung Ha , Chen-Lung Hung , Xibo Zhang , Ulrich Eismann , Shih-Kuang Tung , Cheng Chin

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

数学物理 · 物理学 2015-09-16 Dionisios Margetis

We consider a two-component Bose gas in two dimensions at low temperature with short-range repulsive interaction. In the coexistence phase where both components are superfluid, inter-species interactions induce a nondissipative drag between…

量子气体 · 物理学 2019-07-10 Volker Karle , Nicolo Defenu , Tilman Enss

Recent experiments on ultracold Bose gases in two dimensions have provided evidence for the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the interference between two independent systems. In this work we study…

量子气体 · 物理学 2010-11-11 Christopher J. Foster , P. Blair Blakie , Matthew J. Davis

This paper addresses the transition from the normal to the superfluid state in strongly correlated two dimensional fermionic superconductors and Fermi gases. We arrive at the Berezinskii-Kosterlitz-Thouless (BKT) temperature…

超导电性 · 物理学 2020-07-13 Xiaoyu Wang , Qijin Chen , K. Levin

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

统计力学 · 物理学 2009-10-30 N. P. Proukakis , K. Burnett

We measure the momentum distribution of a 2D trapped Bose gas and observe the increase of the range of coherence around the Berezinskii-Kosterlitz-Thouless (BKT) transition. We quantitatively compare our observed profiles to both a…

原子物理 · 物理学 2015-05-30 T. Plisson , B. Allard , M. Holzmann , G. Salomon , Alain Aspect , Philippe Bouyer , Thomas Bourdel

We analyze the theoretical derivation of the beyond-mean-field equation of state for a two-dimensional gas of dilute, ultracold alkali-metal atoms in the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover. We show…

量子气体 · 物理学 2018-07-24 G. Bighin , L. Salasnich

We simulate a trapped quasi-two-dimensional Bose gas using a classical field method. To interpret our results we identify the uniform Berezinskii-Kosterlitz-Thouless (BKT) temperature $T_{BKT}$ as where the system phase space density…

其他凝聚态物理 · 物理学 2011-08-31 R. N. Bisset , M. J. Davis , T. P. Simula , P. B. Blakie

Here we show, by performing ab initio classical field simulations that two distinct superfluid phases, separated by thermal vortex-antivortex pair creation, exist in experimentally producible quasi-2D Bose gas. These results resolve the…

其他凝聚态物理 · 物理学 2016-08-31 T. P. Simula , P. B. Blakie

We discuss the mean-field theories obtained from the leading order in a large-$N$ approximation for one- and two- component dilute Bose gases. For a one-component Bose gas this approximation has the following properties: the Bose-Einstein…

量子气体 · 物理学 2012-09-05 Chih-Chun Chien , Fred Cooper , Eddy Timmermans

We present experimental results on a Bose gas in a quasi-2D geometry near the Berezinskii, Kosterlitz and Thouless (BKT) transition temperature. By measuring the density profile, \textit{in situ} and after time of flight, and the coherence…

其他凝聚态物理 · 物理学 2015-05-13 P. Cladé , C. Ryu , A. Ramanathan , K. Helmerson , W. D. Phillips

We formulate a conserving gapless mean-field theory for Bose-Einstein condensates on the basis of a Luttinger-Ward thermodynamic functional. It is applied to a weakly interacting uniform gas with density $n$ and s-wave scattering length $a$…

超导电性 · 物理学 2009-11-10 Takafumi Kita

This paper presents a conserving gapless mean-field theory for weakly interacting Bose gases. We first construct a mean-field Luttinger-Ward thermodynamic functional in terms of the condensate wave function $\Psi$ and the Nambu Green's…

统计力学 · 物理学 2007-05-23 Takafumi Kita
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