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We derive quantum evolution equations for the dynamics of dilute condensed Bose gases. The approach contains, at different orders of approximation, for cases close to equilibrium, the Gross Pitaevskii equation and the first order Hartree…

凝聚态物理 · 物理学 2007-05-23 Thorsten Koehler , Keith Burnett

In this paper we use microscopic arguments to derive a nonlinear Schr\"{o}dinger equation for trapped Bose-condensed gases. This is made possible by considering the equations of motion of various anomalous averages. The resulting equation…

统计力学 · 物理学 2009-10-30 N. P. Proukakis , K. Burnett , H. T. C. Stoof

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

统计力学 · 物理学 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

The relaxation of a quantum field from a metastable state (false vacuum) to a stable one (true vacuum), also known as false vacuum decay, is a fundamental problem in quantum field theory and cosmology. We study this phenomenon using a…

量子气体 · 物理学 2026-02-04 Paniyanchatha Moolayil Sivasankar , Franco Dalfovo , Alessio Recati , Arko Roy

The local balance equations for the density, momentum, and energy of a dilute gas of elastic or inelastic hard spheres, strongly confined between two parallel hard plates are obtained. The starting point is a Boltzmann-like kinetic…

统计力学 · 物理学 2020-04-22 J. Javier Brey , P. Maynar , M. I. García de Soria

The variational method of coupled Gaussian functions is applied to Bose-Einstein condensates with long-range interactions. The time-dependence of the condensate is described by dynamical equations for the variational parameters. We present…

量子气体 · 物理学 2010-08-17 Stefan Rau , Jörg Main , Günter Wunner

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

量子气体 · 物理学 2017-04-06 A. Cappellaro , L. Salasnich

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

星系天体物理 · 物理学 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

We study the dynamics of a single and a pair of vortices in quasi two-dimensional Bose-Einstein condensates at finite temperatures. We use the stochastic Gross-Pitaevskii equation, which is the Langevin equation for the Bose-Einstein…

量子气体 · 物理学 2014-02-04 S. Gautam , Arko Roy , Subroto Mukerjee

Starting with a scalar field in a thermal bath and using the one loop quantum correction potential, we rewrite the Klein-Gordon equation in its thermodynamical representation and study the behavior of this scalar field due to temperature…

广义相对论与量子宇宙学 · 物理学 2014-02-04 T. Matos , A. Suárez

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

量子气体 · 物理学 2025-09-11 Nils A. Krause , Ashton S. Bradley

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

软凝聚态物质 · 物理学 2009-10-31 Sadhan K. Adhikari

We study stochastic behavior of a single vortex loop appeared in imperfect Bose gas. Dynamics of Bose-condensate is supposed to obey Gross-Pitaevskii equation with additional noise satisfying fluctuation-dissipation relation. The…

统计力学 · 物理学 2007-05-23 Sergey K. Nemirovskii , Luiza P. Kondaurova , Makoto Tsubota

Recent experimental breakthroughs in trapping, cooling and controlling ultracold gases of polar molecules, magnetic and Rydberg atoms have paved the way toward the investigation of highly tunable quantum systems, where anisotropic,…

量子气体 · 物理学 2015-02-11 M. A. Baranov , M. Dalmonte , G. Pupillo , P. Zoller

We develop the number-conserving approach that has previously been used in a single component Bose-Einstein condensed dilute atomic gas, to describe consistent coupled condensate and noncondensate number dynamics, to an $n$-component…

量子气体 · 物理学 2015-06-18 Peter Mason , Simon Gardiner

Recently the authors used the Kadanoff-Baym non-equilibrium Green's function formalism to derive kinetic equation for the non-condensate atoms, in conjunction with a consistent generalization of the Gross-Pitaevskii equation for the Bose…

凝聚态物理 · 物理学 2016-08-31 M. Imamovic-Tomasovic , A. Griffin

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

软凝聚态物质 · 物理学 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

The thermodynamical properties of interacting Bose atoms in a harmonic potential are studied within the mean-field approximation. For weak interactions, the quantum statistics is equivalent to an ideal gas in an effective mean-field…

量子气体 · 物理学 2015-06-03 Shi-Jie Yang , Yuechan Liu , Shiping Feng

Supersolidity in a dipolar Bose-Einstein condensate (BEC), which is the coexistence of crystalline density modulation and global phase coherence, emerges from the interplay of contact interactions, long-range dipole-dipole forces, and…

量子气体 · 物理学 2025-10-29 Changjian Yu , Jinbin Li , Kui-Tian Xi

We investigate the dynamic behavior of a Bose-condensed gas of alkali atoms interacting with repulsive forces and confined in a magnetic trap at zero temperature. Using the Thomas-Fermi approximation, we rewrite the Gross-Pitaevskii…

凝聚态物理 · 物理学 2009-10-28 F. Dalfovo , C. Minniti , S. Stringari , L. Pitaevskii