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We investigate the possibility that Bose-Einstein condensates (BECs), loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that - in an experimentally attainable range…

统计力学 · 物理学 2009-11-10 A. Trombettoni , A. Smerzi , P. Sodano

We discuss the finite-temperature properties of Bose-Einstein condensates loaded on a 2D optical lattice. In an experimentally attainable range of parameters the system is described by the XY model, which undergoes a…

统计力学 · 物理学 2007-05-23 A. Trombettoni , A. Smerzi , P. Sodano

We study the universal critical behavior of two-dimensional (2D) lattice bosonic gases at the Berezinskii-Kosterlitz-Thouless (BKT) transition, which separates the low-temperature superfluid phase from the high-temperature normal phase. For…

量子气体 · 物理学 2013-08-09 G. Ceccarelli , J. Nespolo , A. Pelissetto , E. Vicari

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

统计力学 · 物理学 2021-04-23 Mikhail Vasin

Due to the observation of Bose-Einstein condensation in dilute atomic $^{87}$Rb and $^{23}$Na vapors last year, there is currently a great interest in the properties of a degenerate Bose gas. One aspect that is not yet understood is the…

凝聚态物理 · 物理学 2007-05-23 M. Bijlsma , H. T. C. Stoof

We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the characteristic logarithmic finite-size scaling of the BKT…

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

We investigate a shift in the critical temperature of rotating Bose-Einstein condensates mediated by the melting of the vortex lattice. Numerical simulations reveal that this temperature exhibits contrasting behavior depending on the system…

量子气体 · 物理学 2024-12-10 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

We show that quasi-one dimensional Bose-Einstein condensate under suitable conditions can exhibit a Berezinskii-Kosterlitz-Thouless phase transition. The role played by quantized vortices in two dimensional case, is played in this case by…

量子气体 · 物理学 2011-07-28 Vivek M. Vyas , Sandeep Gautam , Prasanta K. Panigrahi

We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely determine the critical temperature corresponding to the Berezinskii-Kosterlitz-Thouless (BKT)…

高能物理 - 格点 · 物理学 2020-08-07 Raghav G. Jha

Atomic interactions play an important role in the properties of ultracold atomic gases. In single component bosonic systems, its effect is already present at the critical point for the Bose-Einstein condensate phase transition by shifting…

量子气体 · 物理学 2026-02-16 Pedro M. Gaspar , Vanderlei S. Bagnato , Patricia C. M. Castilho

We probe local phase fluctuations of trapped two-dimensional (2D) Bose gases using matter-wave interferometry. This enables us to measure the phase correlation function, which changes from an algebraic to an exponential decay when the…

We study the Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas using the concept of universality and numerical simulations of the classical $|\psi|^4$-model on a lattice. The critical density and…

凝聚态物理 · 物理学 2015-06-24 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

We perform a detailed finite-size scaling analysis of the sheet resistance in Bi-films and the LaAlO$_{3}$/SrTiO$_{3}$ interface in the presence and absence of a magnetic field applied perpendicular to the system. Our main aim is to explore…

超导电性 · 物理学 2015-06-22 T. Schneider , S. Weyeneth

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

统计力学 · 物理学 2015-11-10 Masamichi Nishino , Seiji Miyashita

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 have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The…

量子气体 · 物理学 2014-10-01 Abdulla Rakhimov , Iman N. Askerzade

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

We study the phase transition of a gas of Rb atoms to quantum degeneracy in the combined potential of a harmonically confining magnetic trap and the periodic potential of an optical lattice. For high optical lattice potentials we observe a…

凝聚态物理 · 物理学 2009-05-28 S. Burger , F. S. Cataliotti , C. Fort , P. Maddaloni , F. Minardi , M. Inguscio

The Berezinskii-Kosterlitz-Thouless (BKT) transition is the prototype of a phase transition driven by the formation and interaction of topological defects in two-dimensional (2D) systems. In typical models these are vortices: above a…

超导电性 · 物理学 2026-02-27 M. C. Diamantini , C. A. Trugenberger , V. M. Vinokur
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