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Small deviations from purely bosonic behavior of trapped atomic Bose-Einstein condensates are investigated with the help of the quon algebra, which interpolates between bosonic and fermionic statistics. A previously developed formalism is…

软凝聚态物质 · 物理学 2008-11-26 S. S. Avancini , J. R. Marinelli , G. Krein

A Bose-Einstein condensate of atoms with attractive interactions exhibits growth and collapse cycles, when it is fed by a thermal cloud. Recently this phenomenon has been directly observed in a trapped Li-7 gas. We offer a quantitative…

软凝聚态物质 · 物理学 2007-05-23 Kerson Huang

In experiments involving Bose condensed atoms trapped in magnetic bottles, plugging the hole in the bottle potential with a LASER beam produces a new potential with two minima, and thus a condensate order parameter (i.e. wave function) with…

统计力学 · 物理学 2007-05-23 Juhao Wu , A. Widom

We present a theoretical study of the ground state of a Bose-Einstein condensate with repulsive inter-particle interactions in a double-well potential, using a restricted variational principle. Within such an approach, there is a transition…

量子物理 · 物理学 2009-10-31 R. W. Spekkens , J. E. Sipe

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

统计力学 · 物理学 2017-01-04 Yu. M. Poluektov

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

凝聚态物理 · 物理学 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

We consider a Bose gas with two-body Kac-like scaled interactions V $\gamma$ (r) = $\gamma$ 3 v($\gamma$r) where v(x) is a given repulsive and integrable potential, while $\gamma$ is a positive parameter which controls the range of the…

统计力学 · 物理学 2019-12-17 A. Alastuey , J Piasecki , P. Szymczak

Bose-Einstein condensates with tunable interatomic interactions have been studied intensely in recent experiments. The investigation of the collapse of a condensate following a sudden change in the nature of the interaction from repulsive…

量子气体 · 物理学 2017-11-22 Stavros Theodorakis , Andreas Hadjigeorgiou

Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed analytically using a solvable model, the harmonic-interaction model for Bose-Fermi mixtures. The one-particle and two-particle densities,…

量子气体 · 物理学 2024-12-03 Ofir E. Alon , Lorenz S. Cederbaum

We study coherence of a trapped bosonic cloud with attractive finite-range interaction in a tight harmonic trap. One-body density and pair-distribution function in the ground state for different trap sizes are calculated. We also calculate…

量子气体 · 物理学 2012-06-22 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das , Luca Salasnich

The critical behavior of collective modes and the collapsing dynamics of trapped Bose-Einstein condensates with attractive interactions are studied analytically and numerically. The time scales of these dynamics both below and above the…

凝聚态物理 · 物理学 2009-10-31 Hiroki Saito , Masahito Ueda

We study the collapse of large homogeneous Bose-Einstein condensates due to intrinsic attractive interactions. We observe the amplification of a local instability by seeding a momentum state $\bf{p}$ and suddenly switching the scattering…

凝聚态物理 · 物理学 2009-11-07 J. K. Chin , J. M. Vogels , W. Ketterle

We study the effects of repulsive interaction and disorder on Bosons in a two-site Bose-Hubbard system, which provides a simple model of the dirty boson problem. By comparison with exact numerical results, we demonstrate how a…

量子气体 · 物理学 2013-12-19 Christopher Gaul , Jürgen Schiefele

Based on the paper "Fourier formula for quantum partition functions", arXiv:2106.10032 [math-ph], we show that in an infinite system of identical bosons interacting via a positive-type pair potential there is off-diagonal long-range order…

数学物理 · 物理学 2023-05-05 Andras Suto

The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: a mean field model, an excluded volume model, and a model with a medium dependent…

This paper deals with the study of the behaviour of the wave functions of a two-component Bose-Einstein condensate near the interface, in the case of strong segregation. This yields a system of two coupled ODE's for which we want to have…

偏微分方程分析 · 数学 2016-05-17 Amandine Aftalion , Christos Sourdis

It has recently been discovered that for certain rates of mode-exchange collisions analytic solutions can be found for a Hamiltonian describing the two-mode Bose-Einstein condensate. We proceed to study the behavior of the system using…

量子物理 · 物理学 2008-10-01 R. B. Mann , M. B. Young , I. Fuentes-Schuller

We consider a trapped Bose gas of $N$ identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interaction respectively of the form $-aN^{2\alpha-1} U(N^\alpha…

数学物理 · 物理学 2025-03-19 Dinh-Thi Nguyen , Julien Ricaud

After almost half a century since the work of Anderson [Phys. Rev. {\bf 109}, 1492 (1958)], at present there is no well established theoretical framework for understanding the dynamics of interacting particles in the presence of disorder.…

量子气体 · 物理学 2010-12-01 S. G. Bhongale , Paata Kakashvili , C. J. Bolech , H. Pu

Disorder, prevalent in nature, is intimately involved in such spectacular effects as the fractional quantum Hall effect and vortex pinning in type-II superconductors. Understanding the role of disorder is therefore of fundamental interest…

原子物理 · 物理学 2009-11-13 M. White , M. Pasienski , D. McKay , S. Zhou , D. Ceperley , B. DeMarco