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We propose a practically accessible non-mean-field ground state of Bose-Einstein condensation (BEC), which occurs in an interspecies two-particle entangled state, and is thus described by an entangled order parameter. A suitably defined…

其他凝聚态物理 · 物理学 2007-05-23 Yu Shi , Qian Niu

We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacting by a contact interaction in the Popov…

凝聚态物理 · 物理学 2007-05-23 William J. Mullin

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

数学物理 · 物理学 2009-11-07 Elliott H. Lieb , Robert Seiringer

Bose-Einstein condensation (BEC) of Feshbach molecules in a homogeneous Bose gas is studied at finite temperatures in a single-channel mean-field approach where the Hartree-Fock energy and pairing gap are determined self-consistently. In…

量子气体 · 物理学 2010-02-21 Zeng-Qiang Yu , Lan Yin

Bose-Einstein condensation (BEC) in a gas has now been achieved. Alkali atoms ($^{87}Rb$, $^{23}Na$ and $^{7}Li$) have been cooled to the point of condensation (temperature of 100 nK) using laser cooling and trapping, followed by magnetic…

量子物理 · 物理学 2016-09-08 Luca Salasnich

We analyze the model of an atomic Bose-Einstein condensate (BEC) parametrically coupled to a molecular BEC via a photoassociation process. We show that an interplay of nonlinear inter- and intra-species interactions leads to the formation…

凝聚态物理 · 物理学 2021-05-26 Benedict J. Cusack , Tristram J. Alexander , Elena A. Ostrovskaya , Yuri S. Kivshar

A simple second quantization model is used to describe a two-mode Bose-Einstein condensate (BEC), which can be written in terms of the generators of a SU(2) algebra with three parameters. We study the behaviour of the entanglement entropy…

量子气体 · 物理学 2013-08-02 Citlali Perez Campos , Jose R. Gonzalez Alonso , Octavio Castanos , Ramon Lopez

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

统计力学 · 物理学 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

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

Our understanding of various states of matter usually relies on the assumption of thermodynamic equilibrium. However, the transitions between different phases of matter can be strongly affected by non-equilibrium phenomena. Here we…

量子气体 · 物理学 2013-05-03 Alexander L. Gaunt , Richard J. Fletcher , Robert P. Smith , Zoran Hadzibabic

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

数学物理 · 物理学 2017-11-21 Weizhu Bao

We determine the behaviour of entanglement between regions of space in a Bose gas of fixed particle number around the critical temperature condensation. Long-range correlations develop in the Bose-Einstein condensate (BEC) phase transition…

量子物理 · 物理学 2007-11-07 Libby Heaney

The Phenomenon of multi-step Bose-Einstein condensation (BEC) of a finite number of non-interacting bosons in anisotropic traps has been demonstrated by studing the populations on eight subsets of states. The cusp in the specific heat is…

凝聚态物理 · 物理学 2009-10-31 Wenji Deng

We prove the following results. (i) One-dimensional Bose gases which interact via unscaled integrable pair interactions and are confined in an external potential increasing faster than quadratically undergo a complete generalized…

统计力学 · 物理学 2015-06-24 Andras Suto

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

其他凝聚态物理 · 物理学 2008-04-14 Mark E. Perel'man

We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify…

统计力学 · 物理学 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

统计力学 · 物理学 2015-06-25 Juan Pablo Fernández , William J. Mullin

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

数学物理 · 物理学 2021-01-01 Maximilian Pechmann

Bose-Einstein condensate (BEC) is considered under conditions of Feshbach resonance in two-atom collisions due to a coupling of atomic pair and resonant molecular states. The association of condensate atoms can form a molecular BEC, and the…

软凝聚态物质 · 物理学 2007-05-23 Vladimir A. Yurovsky

In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on stability using a Gaussian variational approach and exact…

软凝聚态物质 · 物理学 2009-11-07 F. Kh. Abdullaev , A. Gammal , Lauro Tomio , T. Frederico
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