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Related papers: General hydrodynamic approach for a cold Bose gas

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Starting from an approximate microscopic model of a trapped Bose-condensed gas at finite temperatures, we derive an equation of motion for the condensate wavefunction and a quantum kinetic equation for the distribution function for the…

Statistical Mechanics · Physics 2007-05-23 E. Zaremba , T. Nikuni , A. Griffin

Starting from the quantum kinetic equation for the non-condensate atoms and the generalized Gross-Pitaevskii equation for the condensate, we derive the two-fluid hydrodynamic equations of a trapped Bose gas at finite temperatures. We follow…

Statistical Mechanics · Physics 2009-10-31 Tetsuro Nikuni , Allan Griffin

We study hydrodynamic oscillations of a cylindrical Bose gas above the Bose-Einstein transition temperature using the hydrodynamic equations derived by Griffin, Wu and Stringari. This extends recent studies of a cylindrical Bose-condensed…

Condensed Matter · Physics 2009-10-31 T. Nikuni , A. Griffin

In the paper we consider a hydrodynamical description of a nonideal Bose gas in one-loop approximation. We calculate an effective action which consists of mean field contributions and first quantum correction. This provides the equations of…

Statistical Mechanics · Physics 2008-02-03 K. N. Ilinski , A. S. Stepanenko

We consider a trapped repulsive one-dimensional (1D) Bose gas at very low temperature. In order to study the collective modes of this strongly interacting system, we use a hydrodynamic approach, where the gas is locally described by the…

Condensed Matter · Physics 2007-05-23 J. N. Fuchs , X. Leyronas , R. Combescot

We review the recent theoretical and experimental progress regarding the Generalized Hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, also known as the Lieb-Liniger gas. In the first section,…

Quantum Gases · Physics 2022-01-14 Isabelle Bouchoule , Jérôme Dubail

We construct the hydrodynamic theory for spin 1/2 Bose gases at arbitrary temperatures. This theory describes the coupling between the magnetization, and the normal and superfluid components of the gas. In particular, our theory contains…

Quantum Gases · Physics 2013-06-28 J. Armaitis , H. T. C. Stoof , R. A. Duine

We provide a new hydrodynamic framework to describe out-of-equilibrium integrable systems with space-time inhomogeneous interactions. Our result builds up on the recently-introduced Generalized Hydrodynamics (GHD). The method allows to…

Statistical Mechanics · Physics 2019-09-30 Alvise Bastianello , Vincenzo Alba , Jean Sébastien Caux

We present a new exact method to numerically compute the thermodynamical properties of an interacting Bose gas in the canonical ensemble. As in our previous paper (Phys. Rev. A, 63 023606 (2001)), we write the density operator $\rho$ as an…

Soft Condensed Matter · Physics 2009-11-07 Iacopo Carusotto , Yvan Castin

Ultracold Bose atoms is the physical system, where the quantum and nonlinear phenomena play crucial role. Ultracold bosons are considered at the small finite temperatures. Bosons are considered as two different fluids: Bose-Einstein…

Quantum Gases · Physics 2021-01-29 Pavel A. Andreev

We study the quantum evolution of one-dimensional Bose gases immediately after several variants of high-energy quenches, both theoretically and experimentally. Using the advantages conveyed by the relative simplicity of these nearly…

Quantum Gases · Physics 2025-05-13 Yicheng Zhang , Yuan Le , David S. Weiss , Marcos Rigol

We derive a general energy balance equation for a self-interacting boson gas at vanishing temperature in a curved spacetime. This represents a first step towards a formulation of the first law of thermodynamics for a scalar field in general…

General Relativity and Quantum Cosmology · Physics 2021-03-04 Tonatiuh Matos , Ana Avilez , Tula Bernal , Pierre-Henri Chavanis

A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with…

Quantum Gases · Physics 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

The eigenfunctions and eigenvalues of the linearized Boltzmann equation for inelastic hard spheres (d=3) or disks (d=2) corresponding to d+2 hydrodynamic modes, are calculated in the long wavelength limit for a granular gas. The transport…

Statistical Mechanics · Physics 2009-11-10 James W. Dufty , J. Javier Brey

We develop a finite-temperature hydrodynamic approach for a harmonically trapped one-dimensional quasicondensate and apply it to describe the phenomenon of frequency doubling in the breathing-mode oscillations of its momentum distribution.…

Quantum Gases · Physics 2016-11-15 I. Bouchoule , S. S. Szigeti , M. J. Davis , K. V. Kheruntsyan

We study weakly interacting Bose gases using the functional renormalization group with a hydrodynamic effective action. We use a scale-dependent parametrization of the boson fields that interpolates between a Cartesian representation at…

Quantum Gases · Physics 2018-10-10 Felipe Isaule , Michael C. Birse , Niels R. Walet

A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence…

Statistical Mechanics · Physics 2008-02-03 Hualin Shi , Wei-Mou Zheng

We describe recent development of quantum hydrodynamics for ultracold Bose particle studying and consider different kinds of interactions. The method of derivation of equations describing the evolution of the neutral Bose particle system at…

Quantum Gases · Physics 2012-12-11 Pavel A. Andreev

We develop a theory to describe the damping of elementary excitations of a Bose-condensed gas in the hydrodynamic regime for the thermal cloud. We discuss second sound in a spatially homogeneous gas and the lowest excitations of a trapped…

Soft Condensed Matter · Physics 2007-05-23 P. O. Fedichev , A. E. Muryshev , G. V. Shlyapnikov

Describing properties of a strongly interacting quantum many-body system poses a serious challenge both for theory and experiment. In this work, we study excitations of one-dimensional repulsive Bose gas for arbitrary interaction strength…