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We calculate the number and energy densities of a quasi-2D Bose-Einstein gas constrained within a thin region of infinite extent but of finite width d. The BEC critical transition temperature then becomes an explicit function of d. We use…

Superconductivity · Physics 2009-12-09 C. Villarreal , M. de Llano

We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we diagonalize the Hamiltonian of a dilute Bose gas in an…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

The temperature dependence of the moment of inertia of a dilute Bose gas confined in a harmonic trap is determined. Deviations from the rigid value, due to the occurrence of Bose-Einstein condensation, reveal the superfluid behaviour of the…

Condensed Matter · Physics 2009-10-28 S. Stringari

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…

Quantum Gases · Physics 2026-02-16 Pedro M. Gaspar , Vanderlei S. Bagnato , Patricia C. M. Castilho

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared…

Statistical Mechanics · Physics 2009-11-07 Erich J. Mueller , Gordon Baym , Markus Holzmann

We develop a Bose fluid model in a confined potential to consider the new quantum phase due to the localization of Bose-Einstein condensation and disappearance of superfluidity which is recently observed in liquid 4He in porous glass at…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

We investigate the behavior of a dilute quasi two-dimensional, harmonically confined, weakly interacting Bose gas within the finite-temperature Thomas-Fermi approximation. We find that the thermodynamic properties of the system are markedly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Brandon P. van Zyl , R. K. Bhaduri , Justin Sigetich

We provide an exact solution for the interplay between Bose-Einstein condensation and the Dicke-Hepp-Lieb self-organization transition of an ideal Bose gas trapped inside a single-mode optical cavity and subject to a transverse laser drive.…

Quantum Gases · Physics 2013-10-10 Francesco Piazza , Philipp Strack , Wilhelm Zwerger

Griffin, Wu and Stringari have derived the hydrodynamic equations of a trapped dilute Bose gas above the Bose-Einstein transition temperature. We give the extension which includes hydrodynamic damping, following the classic work of Uehling…

Condensed Matter · Physics 2007-05-23 T. Nikuni , A. Griffin

Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the…

Statistical Mechanics · Physics 2007-05-23 B. Tanatar , A. Minguzzi , P. Vignolo , and M. P. Tosi

The dissipative dynamics of a vortex in a finite temperature trapped Bose-Einstein condensate are shown to be governed by a {\em diffusive instability}. In the weakly interacting regime we find a cross-over from instability to metastability…

Statistical Mechanics · Physics 2007-05-23 A. S. Bradley , C. W. Gardiner

Using a Ginzburg-Landau model, we study the phase transition behavior of compressible Ising systems at constant volume by varying the temperature $T$ and the applied magnetic field $h$. We show that two phases can coexist macroscopically in…

Materials Science · Physics 2009-11-13 Akira Onuki , Akihiko Minami

We study the thermal properties of impurities embedded in a repulsive Bose gas under a harmonic trapping potential. In order to obtain exact structural properties in this inhomogeneous many-body system, we resort to the path-integral Monte…

Quantum Gases · Physics 2024-04-17 G. Pascual , T. Wasak , A. Negretti , G. E. Astrakharchik , J. Boronat

The changes in characteristics of Bose condensation of ideal Bose gas due to an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ are studied carefully. Detailed calculation of Kim $et$ $al.$ (S. H. Kim, C.…

Quantum Gases · Physics 2016-05-24 Mir Mehedi Faruk , Md. Sazzad Hossain , Md. Muktadir Rahman

We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomised initial wave functions to equilibrium. We compare our numerical…

Condensed Matter · Physics 2009-10-31 M. J. Davis , S. A. Morgan , K. Burnett

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacting by a contact interaction in the Popov…

Condensed Matter · Physics 2007-05-23 William J. Mullin

Light with a chemical potential and no mass is shown to possess a general phase-transition curve to Bose-Einstein condensation. This limiting density and temperature range is found by the diverging in-medium potential range of effective…

Quantum Gases · Physics 2019-05-22 K. Morawetz

A dynamical correspondence is established between positively curved, isotropic, perfect fluid cosmologies and quasi-two-dimensional, harmonically trapped Bose-Einstein condensates by mapping the equations of motion for both systems onto the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 James E. Lidsey

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

Statistical Mechanics · Physics 2009-11-13 V. I. Yukalov , E. P. Yukalova