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Phase transitions are well understood and generally followed by the behavior of the associated thermodynamic quantities, such as in the case of the $\lambda$ point superfluid transition of liquid helium, which is observed in its heat…

We analyze the effects caused by an anomalous single-particle dispersion relation suggested in several quantum-gravity models, upon the thermodynamics of a Bose-Einstein condensate trapped in a generic 3-dimensional power-law potential. We…

Mathematical Physics · Physics 2014-10-01 E. Castellanos , C. Laemmerzahl

Temperature of the Bose -- Einstein condensation and the temperature behavior of the chemical potential and other thermodynamical functions of the ideal Bose gas are found for the arbitrary power-like spherical-symmetric potential at an…

Statistical Mechanics · Physics 2013-01-09 A. A. Kozhevnikov

We develop a stochastic Gross-Pitaveskii theory suitable for the study of Bose-Einstein condensation in a {\em rotating} dilute Bose gas. The theory is used to model the dynamical and equilibrium properties of a rapidly rotating Bose gas…

Quantum Physics · Physics 2008-09-13 A. S. Bradley , C. W. Gardiner , M. J. Davis

We study the Bose-Einstein condensation (BEC) for a system of $^7Li$ atoms, which have negative scattering length (attractive interaction), confined in a harmonic potential. Within the Bogoliubov and Popov approximations, we numerically…

Condensed Matter · Physics 2007-05-23 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

We determine the leading shift of the Bose-Einstein condensation temperature for an ultracold dilute atomic gas in a harmonic trap due to weak disorder by treating both a Gaussian and a Lorentzian spatial correlation for the quenched…

Disordered Systems and Neural Networks · Physics 2009-11-11 Matthias Timmer , Axel Pelster , Robert Graham

We relate the frequency of the scissors mode to the moment of inertia of a trapped Bose gas at finite temperature in a semi-classical approximation. We apply these theoretical results to the data obtained in our previous study of the…

Statistical Mechanics · Physics 2009-11-07 O. M. Marago' , G. Hechenblaikner , E. Hodby , S. A. Hopkins , C. J. Foot

Inspired by investigations of Bose-Einstein condensates (BECs) produced in the Cold Atom Laboratory (CAL) aboard the International Space Station, we present a study of thermodynamic properties of shell-shaped BECs. Within the context of a…

Over the last decade, significant progresses have been achieved to create Bose-Einstein condensates (BEC) of magnetic excitations, i.e., magnons, at the room temperature, which is a novel quantum many-body system with a strong spin-spin…

Mesoscale and Nanoscale Physics · Physics 2018-08-01 H. Y. Yuan , Man-Hong Yung

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

We calculate the damping of low-lying collective modes of a trapped Bose gas in the hydrodynamic regime, and show that this comes solely from the shear viscosity, since the contributions from bulk viscosity and thermal conduction vanish.…

Condensed Matter · Physics 2009-10-30 G. M. Kavoulakis , C. J. Pethick , H. Smith

In Jaouadi et al. [Phys. Rev. A 83, 023616 (2011)] the authors derive an analytical finite-size expansion for the Bose-Einstein condensation critical temperature of an ideal Bose gas in a generic power-law trap. In the case of a harmonic…

Quantum Gases · Physics 2015-07-02 José M. B. Noronha

A generalization of the semiclassical approximation is suggested allowing for an essential extension of its region of applicability. In particular, it becomes possible to describe Bose-Einstein condensation of a trapped gas in…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov

Some thermodynamic quantities of nonrelativistic ideal boson and fermion gases in the static Taub universe are derived to first order in a small anisotropy parameter d which measuring the deformation from the spherical Einstein universe.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Wung-Hong Huang

We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which…

Quantum Gases · Physics 2022-03-23 L. Salasnich

In the studies of the Bose-Einstein condensation of ideal gases in finite systems, the divergence problem usually arises in the equation of state. In this paper, we present a technique based on the heat kernel expansion and the…

Statistical Mechanics · Physics 2019-04-16 Mi Xie

We analyze the results of a recent experiment with bosonic rubidium atoms harmonically confined in a quasi-two-dimensional geometry. In this experiment a well defined critical point was identified, which separates the high-temperature…

Other Condensed Matter · Physics 2008-05-06 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Steffen Patrick Rath , Jean Dalibard

Out-of-equilibrium phenomena is a subject of considerable interest in many fields of physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly controllable systems, offer ideal platforms to investigate this…

Quantum Gases · Physics 2017-02-01 J. Beugnon , N. Navon

We report on the generation of a Bose-Einstein condensate in a gas of chromium atoms, which will make studies of the effects of anisotropic long-range interactions in degenerate quantum gases possible. The preparation of the chromium…

Other Condensed Matter · Physics 2007-05-23 Axel Griesmaier , Jörg Werner , Sven Hensler , Jürgen Stuhler , Tilman Pfau

We explore the phenomenon of Bose-Einstein condensation in two and one-dimensional Dunkl-boson gases confined within a power-law potential, employing the framework of Dunkl-deformed boson theory. Our investigation involves the calculation…

Quantum Gases · Physics 2025-08-06 A. Hocine , F. Merabtine , B. Hamil , B. C. Lütfüoğlu , M. Benarous