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The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of the standard mathematical models in which a proof for the…

概率论 · 数学 2022-01-14 Orphée Collin , Benedikt Jahnel , Wolfgang König

Bose-Einstein condensation happens as a gas of bosons is cooled below its transition temperature, and the ground state becomes macroscopically occupied. The phase transition occurs in the thermodynamic limit of many particles. However,…

量子气体 · 物理学 2023-03-24 Fredrik Brange , Tuomas Pyhäranta , Eppu Heinonen , Kay Brandner , Christian Flindt

Out of thermal equilibrium, bosonic quantum systems can Bose-condense away from the ground state, featuring a macroscopic occupation of an excited state or even of multiple states in the so-called Bose-selection scenario. In previous work,…

量子气体 · 物理学 2024-09-12 Francesco Petiziol , André Eckardt

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

量子气体 · 物理学 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

We use the Bogoliubov theory of Bose-Einstein condensation to study the properties of dipolar particles (atoms or molecules) confined in a uniform two-dimensional geometry at zero temperature. We find equilibrium solutions to the dipolar…

量子气体 · 物理学 2012-06-08 Andrew G. Sykes , Christopher Ticknor

First, a condition for the Bose-Einstein transition in the superfluid liquid helium is presented due to the creation of a free neutron spinless pairs in a liquid helium and a dilute neutron gas mixture. We proposed a new model of dilute…

超导电性 · 物理学 2009-04-02 V. N. Minasyan

Thermodynamics of a spin-1 Bose gas with ferromagnetic interactions are investigated via the mean-field theory. It is apparently shown in the specific heat curve that the system undergoes two phase transitions, the ferromagnetic transition…

统计力学 · 物理学 2009-11-13 Chengjun Tao , Peilin Wang , Jihong Qin , Qiang Gu

In this work, we generalize the two-fluid theory to a superfluid system with anisotropic effective masses along different principal axis directions. As a specific example, such a theory can be applied to spin-orbit coupled Bose-Einstein…

量子气体 · 物理学 2019-04-26 Yi-Cai Zhang , Chao-Fei Liu , Bao Xu , Gang Chen , W. M. Liu

We investigate the phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas at zero temperature with disorder. By using the Diffusion Monte-Carlo method we calculate the superfluid and the condensate fraction of the system…

凝聚态物理 · 物理学 2009-11-07 G. E. Astrakharchik , J. Boronat , J. Casulleras , S. Giorgini

Boyle's 1662 observation that the volume of a gas is, at constant temperature, inversely proportional to pressure, offered a prototypical example of how an equation of state (EoS) can succinctly capture key properties of a many-particle…

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…

量子气体 · 物理学 2025-08-19 Andrew P. C. Underwood , P. B. Blakie

We investigate the superfluidity and the coherence in dipolar binary Bose mixtures using the hydrodynamic approach. Useful analytical formulas for the excitations spectrum, the correlation function, the static structure factor, and the…

量子气体 · 物理学 2020-11-11 Abdelaali Boudjemaa

Using the classical field method, we study numerically the characteristics and decay of the turbulent tangle of superfluid vortices which is created in the evolution of a Bose gas from highly nonequilibrium initial conditions. By analysing…

量子气体 · 物理学 2016-12-07 G. W. Stagg , N. G. Parker , C. F. Barenghi

A novel class of non-local interactions between bosons is found to favor a crystalline Bose-Einstein condensation ground state. By using both low energy effective field theory and variational wavefunction method, we compare this state not…

量子气体 · 物理学 2011-02-11 Xiaopeng Li , W. Vincent Liu , Chungwei Lin

The dynamics of a Bose-Einstein condensate is studied theoretically in a combined periodic plus harmonic external potential. Different dynamical regimes of stable and unstable collective dipole and Bloch oscillations are analysed in terms…

其他凝聚态物理 · 物理学 2007-05-23 Joachim Brand , Andrey R. Kolovsky

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

量子气体 · 物理学 2013-05-30 S. Pilati , M. Troyer

The phenomenon of Bose-Einstein condensation and superfluidity in a Bose gas with disorder is investigated. Diffusion Monte Carlo (DMC) method is used to calculate superfluid and condensate fraction of the system as a function of density…

量子气体 · 物理学 2014-12-16 G. E. Astrakharchik

We investigate the superfluidity of a three-dimensional weakly interacting Bose gas with a one-dimensional Raman-type spin-orbit coupling at both zero and finite temperatures. Using the imaginary-time Green's function within the Bogoliubov…

量子气体 · 物理学 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu

We study the occurrence of a Bose-Einstein transition in a dilute gas with repulsive interactions, starting from temperatures above the transition temperature. The formalism, based on the use of Ursell operators, allows us to evaluate the…

统计力学 · 物理学 2007-05-23 M. Holzmann , P. Gruter , F. Laloe

We generalize the concept of quantum phase transitions, which is conventionally defined for a ground state and usually applied in the thermodynamic limit, to one for \emph{metastable states} in \emph{finite size systems}. In particular, we…

其他凝聚态物理 · 物理学 2010-05-11 R. Kanamoto , L. D. Carr , M. Ueda