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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

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

The time-dependent extended Gross-Pitaevskii equation for Bose-Einstein condensates with attractive 1/r interaction is investigated with both a variational approach and numerically exact calculations. We show that these condensates exhibit…

量子物理 · 物理学 2008-07-12 Holger Cartarius , Tomaž Fabčič , Jörg Main , Günter Wunner

Bose condensation of interacting bosons in a two-dimensional random potential is studied. The Gross-Pitaevskii equation is solved to determine the spatially-varying order parameter and the localization length as a function of the disorder,…

量子物理 · 物理学 2007-05-23 Dmitri E. Nikonov , Atac Imamoglu

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

凝聚态物理 · 物理学 2009-11-07 G. M. Kavoulakis

We study a system of $ N $ trapped bosons in the Thomas-Fermi regime with an interacting pair potential of the form $ g_N N^{3\beta-1} V(N^\beta x) $, for some $ \beta\in(0,1/3) $ and $ g_N $ diverging as $ N \to \infty $. We prove that…

数学物理 · 物理学 2022-10-13 Daniele Dimonte , Emanuela L. Giacomelli

The emergence of a Bose-glass region in a quasi one-dimensional Bose-Einstein-condensed gas in a harmonic trapping potential with an additional delta-correlated disorder potential at zero temperature is studied using three approaches. At…

量子气体 · 物理学 2016-06-03 Tama Khellil , Antun Balaz , Axel Pelster

We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose-Einstein condensates (BECs) trapped in an external…

凝聚态物理 · 物理学 2007-05-23 Yuri S. Kivshar , Tristram J. Alexander

Multistep Bose-Einstein condensation of an ideal Bose gas in anisotropic harmonic atom traps is studied. In the presence of strong anisotropy realized by the different trap frequency in each direction, finite size effect dictates a series…

量子物理 · 物理学 2008-11-26 K. Shiokawa

We investigate the thermodynamic properties of a Bose-Einstein condensate with negative scattering length confined in a toroidal trapping potential. By numerically solving the coupled Gross-Pitaevskii and Bogoliubov-de Gennes equations, we…

其他凝聚态物理 · 物理学 2009-11-11 L. Salasnich , A. Parola , L. Reatto

A Bose-Einstein Condensate (BEC) made of alkali-metal atoms at ultra-low temperatures is well described by the three-dimensional cubic nonlinear Schr\"odinger equation, the so-called Gross-Pitaevskii equation (GPE). Here we consider an…

斑图形成与孤子 · 物理学 2007-05-23 Luca Salasnich

In trapped Bose-Einstein condensates, interaction quenches which are abrupt changes of the interaction strength typically implemented via Feshbach tuning, are a practical and widely used protocol to address far-from-equilibrium collective…

量子气体 · 物理学 2026-04-09 Shicong Song , Ke Wang , Zhengli Wu , Andreas Glatz , K. Levin , Han Fu

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

凝聚态物理 · 物理学 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

Stability and dynamical behavior of binary Bose-Einstein condensed mixtures trapped on the surface of a rigid spherical shell are investigated in the mean-field level, exploring the miscibility with and without vortex charges, considering…

量子气体 · 物理学 2021-09-29 Alex Andriati , Leonardo Brito , Lauro Tomio , Arnaldo Gammal

The dynamical evolution of an inhomogeneous ultracold atomic gas quenched at different controllable rates through the Bose-Einstein condensation phase transition is studied numerically in the premise of a recent experiment in an anisotropic…

量子气体 · 物理学 2020-08-12 I-Kang Liu , Jacek Dziarmaga , Shih-Chuan Gou , Franco Dalfovo , Nick P. Proukakis

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

数学物理 · 物理学 2025-12-12 Daniele Ferretti , Kalle Koskinen

We study nonlinear mixing effects among quadrupole modes and scissors modes in a harmonically trapped Bose-Einstein condensate. Using a perturbative technique in conjunction with a variational approach with a Gaussian trial wave function…

量子气体 · 物理学 2017-03-23 Takahiro Mizoguchi , Shohei Watabe , Tetsuro Nikuni

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle…

量子物理 · 物理学 2016-11-09 Dennis Dast , Daniel Haag , Holger Cartarius , Jörg Main , Günter Wunner

We study the optimization of evaporative cooling in trapped bosonic atoms on the basis of quantum kinetic theory of a Bose gas. The optimized cooling trajectory for $^{87}$Rb atoms indicates that the acceleration of evaporative cooling…

We consider many-body effects on particle scattering in one, two and three dimensional Bose gases. We show that at zero temperature these effects can be modelled by the simpler two-body T-matrix evaluated off the energy shell. This is…

凝聚态物理 · 物理学 2009-11-07 M. D. Lee , S. A. Morgan , M. J. Davis , K. Burnett
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