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Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

统计力学 · 物理学 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We show that an ansatz based on independent composite bosons [Phys. Rep. 463, 215 (2008)] accurately describes the condensate fraction of molecular Bose-Einstein condensates in ultracold Fermi gases. The entanglement between the fermionic…

量子气体 · 物理学 2017-02-22 P. Alexander Bouvrie , Malte C. Tichy , Itzhak Roditi

We have observed interference between two Bose-Einstein condensates of weakly bound Feshbach molecules of fermionic $^6$Li atoms. Two condensates are prepared in a double-well trap and, after release from this trap, overlap in expansion. We…

We present a many-body description for two-component ultracold bosonic gases when one of the species is in the weakly interacting regime and the other is either weakly or strongly interacting. In the one-dimensional limit the latter case…

量子气体 · 物理学 2013-12-06 Miguel Angel Garcia-March , Thomas Busch

We suggest an experiment to investigate the linear superposition of two spatially separated Bose-Einstein condensates. Due to the coherent combination of the two wave functions, the dynamic structure factor, measurable through inelastic…

凝聚态物理 · 物理学 2009-10-31 L. Pitaevskii , S. Stringari

This article surveys a number of theoretical problems and open questions in the field of two-dimensional dilute Bose gases with weak repulsive interactions. In contrast to three dimensions, in two dimensions the formation of long-range…

其他凝聚态物理 · 物理学 2009-11-11 Anna Posazhennikova

We consider the Landau-Zener problem for a Bose-Einstein condensate in a linearly varying two-level system, for the full many-particle system as well and in the mean-field approximation. The many-particle problem can be solved approximately…

量子物理 · 物理学 2007-05-23 D. Witthaut , E. M. Graefe , H. J. Korsch

We investigate the scattering halos resulting from collisions between discrete momentum components in the time-of-flight expansion of interaction-tunable $^6\rm Li_2$ molecular Bose-Einstein condensates. A key highlight of this study is the…

量子气体 · 物理学 2025-04-22 Yuying Chen , Zhengxi Zhang , Chi-Kin Lai , Yun Liang , Hongmian Shui , Haixiang Fu , Fansu Wei , Xiaoji Zhou

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

统计力学 · 物理学 2009-10-31 S. A. Morgan

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

统计力学 · 物理学 2016-08-16 W. J. Mullin , J. P. Fernández

The paper is concerned with the spatially homogeneous isotropic Boltzmann equation for Bose-Einstein particles with quantum collision kernel where the interaction potential $\phi({\bf x})$ can be approximately written as the delta function…

偏微分方程分析 · 数学 2021-01-05 Shuzhe Cai

We study the quench dynamics of a Bose-Einstein condensate under a Raman-assisted synthetic spin-orbit coupling. To model the dynamical process, we adopt a self-consistent Bogoliubov approach, which is equivalent to applying the…

量子气体 · 物理学 2016-06-01 Tian-Shu Deng , Wei Zhang , Wei Yi , Guang-Can Guo

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

无序系统与神经网络 · 物理学 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the existence of…

数学物理 · 物理学 2013-12-31 M. l Escobedo , J. J. L. Velázquez

It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum…

软凝聚态物质 · 物理学 2007-05-23 Nimrod Moiseyev , L. D. Carr , Boris A. Malomed , Y. B. Band

We explore the quench dynamics of a two-dimensional, weakly interacting disordered Bose gas for various relative strengths of interactions and disorder. This allows us to identify two well distinct out-of-equilibrium regimes. When…

量子气体 · 物理学 2021-06-22 Thibault Scoquart , Pierre-Élie Larré , Dominique Delande , Nicolas Cherroret

We perform numerical simulation based on the time-dependent mean-field Gross-Pitaevskii equation to understand some aspects of a recent experiment by Donley et al. on the dynamics of collapsing and exploding Bose-Einstein condensates of…

软凝聚态物质 · 物理学 2009-11-07 Sadhan K. Adhikari

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

量子物理 · 物理学 2009-11-07 Christoph Simon