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A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent…

统计力学 · 物理学 2009-11-10 Alexander L. Fetter , B. Jackson , S. Stringari

Describing partially-condensed Bose gases poses a long-standing theoretical challenge. We present exact stochastic Ehrenfest relations for the stochastic projected Gross-Pitaevskii equation, including both number and energy damping…

量子气体 · 物理学 2020-02-19 Rob G. McDonald , Peter S. Barnett , Fradom Atayee , Ashton S. Bradley

We investigate energetic stability of vortices near the surface of a Bose-Einstein condensate. From an energy functional of a rotating Bose-Einstein condensate, written in terms of variables local to the surface, and a suitable trial…

统计力学 · 物理学 2007-05-23 U. Al Khawaja

We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ordinary differential equations describing the vortices' motion, which is in turn a reduced model of the…

量子气体 · 物理学 2015-03-31 Roy H. Goodman , Panayotis G. Kevrekidis , Ricardo Carretero-Gonzalez

The dynamics of Bose-Einstein condensate (BEC) is studied at nonzero temperatures using our variational time-dependent-HFB formalism. We have shown that this approach is an efficient tool to study the expansion and collective excitations of…

量子气体 · 物理学 2013-08-29 Abdelâali Boudjemâa

In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

原子物理 · 物理学 2018-06-21 Saswata Sahu , Dwipesh Majumder

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

数学物理 · 物理学 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

A theory of Brownian motion is presented for an assembly of vortices. The attempt is motivated by a realization of Dyson' Coulomb gas in the context of quantum condensates. By starting with the time-dependent Landau-Ginzburg (LG) theory,…

统计力学 · 物理学 2022-09-07 Hiroshi Kuratsuji

Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed. Then the Bose-Einstein condensate and the Mott insulator of a…

其他凝聚态物理 · 物理学 2022-06-15 Ch. Moseley , O. Fialko , K. Ziegler

We study the time evolution of an initially trapped weakly interacting Bose gas at positive temperature, after the trapping potential has been switched off. It has been recently shown in arXiv:2009.00992 that the one-particle density matrix…

数学物理 · 物理学 2025-05-08 Marco Caporaletti , Andreas Deuchert , Benjamin Schlein

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

量子气体 · 物理学 2023-07-19 Mohd. Imran , M. A. H. Ahsan

We develop an approximate formalism suitable for performing simulations of the thermal dynamics of interacting Bose gases. The method is based on the observation that when the lowest energy modes of the Bose field operator are highly…

凝聚态物理 · 物理学 2009-11-07 M. J. Davis , R. J. Ballagh , K. Burnett

Within a variational approach to solve the Gross-Pitaevskii equation we investigate dynamical properties of a rotating Bose-Einstein condensate which is confined in an anharmonic trap. In particular, we calculate the eigenfrequencies of…

统计力学 · 物理学 2015-05-13 Sebastian Kling , Axel Pelster

We study the vortex pinning effect in a Bose-Einstein Condensate in the presence of a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. We consider a triangular lattice potential created by…

其他凝聚态物理 · 物理学 2009-11-13 T. Sato , T. Ishiyama , T. Nikuni

We study vortex lattice structures of a trapped Bose-Einstein condensate in a rotating lattice potential by numerically solving the time-dependent Gross-Pitaevskii equation. By rotating the lattice potential, we observe the transition from…

其他凝聚态物理 · 物理学 2009-11-11 T. Sato , T. Ishiyama , T. Nikuni

We analyze the equilibrium properties of a weakly interacting, trapped quasi-one-dimensional Bose gas at finite temperatures and compare different theoretical approaches. We focus in particular on two stochastic theories: a…

量子气体 · 物理学 2015-03-17 S. P. Cockburn , A. Negretti , N. P. Proukakis , C. Henkel

Realistic methods to create vortices in spin-orbit-coupled Bose-Einstein condensates are discussed. It is shown that, contrary to common intuition, rotation of the trap containing a spin-orbit condensate does not lead to an equilibrium…

量子气体 · 物理学 2013-05-29 Juraj Radic , Tigran Sedrakyan , Ian Spielman , Victor Galitski

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 investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

We study the bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The…

介观与纳米尺度物理 · 物理学 2008-09-29 Herbert Spohn
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