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The $\nu$-component two-dimensional (2D) Bose liquid is considered. It is shown that the finite temperature phase transition exists in this 2D continuously degenerate multicomponent system. The new type of quasi-long-range order occurs as a…

Statistical Mechanics · Physics 2007-05-23 I. V. Tokatly

We investigate the presence of off-diagonal long-range order in a harmonically confined two-dimensional Bose gas. In the noninteracting case, an analytical calculation of the the finite-temperature one-particle density martix provides an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Brandon P. van Zyl

Spin-orbit coupling is predicted to have dramatic effects on thermal properties of a two-component atomic Bose gas. We show that in three spatial dimensions it lowers the critical temperature of condensation and enhances thermal depletion…

Quantum Gases · Physics 2014-06-27 Renyuan Liao , Oleksandr Fialko

We determine the finite temperature phase diagram of two dimensional bosons with two hyperfine (pseudo-spin) states coupled via Rashba-Dresselhaus spin-orbit interaction using classical field Monte Carlo calculations. For anisotropic…

Quantum Gases · Physics 2017-05-17 Eiji Kawasaki , Markus Holzmann

Long-range and anisotropic dipolar interactions induce complex order in quantum systems. It becomes particularly interesting in two-dimension (2D), where the superfluidity with quasi-long-range order emerges via…

Quantum Gases · Physics 2025-10-14 Yifei He , Ziting Chen , Haoting Zhen , Mingchen Huang , Mithilesh K Parit , Gyu-Boong Jo

We show that a Bose-condensed gas under extreme rotation in a 2D anisotropic trap, forms a novel elongated quantum fluid which has a roton-maxon excitation spectrum. For a sufficiently large interaction strength, the roton energy reaches…

Statistical Mechanics · Physics 2009-11-10 S. Sinha , G. V. Shlyapnikov

This paper develops and implements the stochastic projected Gross-Pitaevskii equation for spin-1 Bose gases, addressing key considerations for numerical simulations. As an application of the theory we explore equilibrium phases in a…

Quantum Gases · Physics 2025-08-19 Andrew P. C. Underwood , P. B. Blakie

We consider a system of $N$ bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the box $d\ll1$. We assume particles to…

Mathematical Physics · Physics 2025-07-01 Xuwen Chen , Jiahao Wu , Zhifei Zhang

Spin-orbit coupling in Bose gases is known to lead to an Ising-symmetry-broken phase where the bosons condense at one of two nonzero momenta. In two dimensions, the finite momentum of the order parameter allows vortex-antivortex pairs that…

Quantum Gases · Physics 2026-03-18 Stuart Yi-Thomas , David M. Long , Jay D. Sau

We study a two-component Bose gas with a symmetric spin-orbit coupling, and find that two atoms can form a bound state with any intra- or inter-species scattering length. Consequently, in the dilute limit, the Bardeen-Cooper-Shrieffer (BCS)…

Quantum Gases · Physics 2017-10-02 Dekun Luo , Lan Yin

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…

Other Condensed Matter · Physics 2015-05-13 P. Cladé , C. Ryu , A. Ramanathan , K. Helmerson , W. D. Phillips

Any state of matter is classified according to its order, and the kind of order a physical system can posses is profoundly affected by its dimensionality. Conventional long-range order, like in a ferromagnet or a crystal, is common in…

Other Condensed Matter · Physics 2016-08-16 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Baptiste Battelier , Jean B. Dalibard

The properties of phase transitions and the types of order present in the low-temperature states of matter are fundamentally dependent on the dimensionality of physical systems. Generally, highly ordered states are more robust in higher…

Quantum Gases · Physics 2012-02-15 Zoran Hadzibabic , Jean Dalibard

We have experimentally investigated the formation of off-diagonal long-range order in a gas of ultracold atoms. A magnetically trapped atomic cloud prepared in a highly nonequilibrium state thermalizes and thereby crosses the Bose-Einstein…

Statistical Mechanics · Physics 2007-05-23 Stephan Ritter , Anton Öttl , Tobias Donner , Thomas Bourdel , Michael Köhl , Tilman Esslinger

We consider a homogeneous Bose gas of particles with an attractive interaction. Mean field theory predicts for this system a spontaneous symmetry breaking at a certain value of the interaction strength. We show that at this point a…

Other Condensed Matter · Physics 2009-11-13 P. Ziń , B. Oleś , M. Trippenbach , K. Sacha

We study the dynamics of a two-dimensional Bose gas after an instantaneous quench of an initially ultracold thermal atomic gas across the Berezinskii-Kosterlitz-Thouless phase transition, confirming via stochastic simulations that the…

Quantum Gases · Physics 2019-10-04 Paolo Comaron , Fabrizio Larcher , Franco Dalfovo , Nikolaos P. Proukakis

We investigate the harmonically trapped interacting Bose gas in a quasi-2D geometry using the classical field method. The system exhibits quasi-long-range order and non-classical rotational inertia at temperatures below the…

Other Condensed Matter · Physics 2008-07-10 T. P. Simula , M. J. Davis , P. B. Blakie

Recently, the Berezinskii-Kosterlitz-Thouless transition was found to be mediated by half-quantum vortices (HQVs) in two-dimensional (2D) antiferromagnetic Bose gases [Phys. Rev. Lett. 97, 120406 (2006)]. We study the thermal activation of…

Quantum Gases · Physics 2010-03-25 Ville Pietilä , Tapio P. Simula , Mikko Möttönen

In this work we investigate the unique properties of ultracold Bose gases in one and two dimensions. In two dimensions, we present simulations of the Berezinskii-Kosterlitz-Thouless (BKT) phase transition using the projected…

Quantum Gases · Physics 2013-02-05 Christopher James Foster

Phases of matter are conventionally characterized by order parameters describing the type and degree of order in a system. For example, crystals consist of spatially ordered arrays of atoms, an order that is lost as the crystal melts. Like-…

Quantum Gases · Physics 2023-07-20 D. L. Campbell , R. M. Price , A. Putra , A. Valdés-Curiel , D. Trypogeorgos , I. B. Spielman
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