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These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

凝聚态物理 · 物理学 2022-03-23 Yvan Castin

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

统计力学 · 物理学 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with…

数学物理 · 物理学 2016-03-09 L. Arkeryd , A. Nouri

We study Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to an harmonic oscillator type confining potential. The interaction among the 2D bosons is described by a delta-function in configuration…

统计力学 · 物理学 2009-10-31 M. Bayindir , B. Tanatar

The excess number of atoms around an ion immersed in a Bose-Einstein condensate is determined as a function of the condensate density far from the ion. We use thermodynamic arguments to demonstrate that in the limit of low densities the…

其他凝聚态物理 · 物理学 2016-08-31 P. Massignan , C. J. Pethick , H. Smith

A relation between the number of bound collective excitations of an atomic Bose-Einstein condensate and the phase shift of elastically scattered atoms is derived. Within the Bogoliubov model of a weakly interacting Bose gas this relation is…

软凝聚态物质 · 物理学 2007-05-23 J. Brand , I. Haering , J. -M. Rost

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

The production of a Bose-Einstein condensate made of positronium may be feasible in the near future. Below the condensation temperature, the positronium collision process is modified by the presence of the condensate. This makes the…

量子物理 · 物理学 2016-05-04 O. Morandi , P. -A. Hervieux , G. Manfredi

We study, using the Bogolyubov approximation, the thermodynamic behaviour of a superstable Bose system whose energy operator in the second-quantized form contains a nonlinear expression in the occupation numbers operators. We prove that for…

统计力学 · 物理学 2009-11-13 M. Corgini , D. P. Sankovich

Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

数学物理 · 物理学 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

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 consider a gas of $N$ bosons in a box with volume one interacting through a two-body potential with scattering length of order $N^{-1}$ (Gross-Pitaevskii limit). Assuming the (unscaled) potential to be sufficiently small, we show that…

数学物理 · 物理学 2021-04-09 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein

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…

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

量子气体 · 物理学 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We study theoretically a gas consisting of charged bosons (ions) over the flat dielectric surface at low temperatures and its tendency to form a state with a Bose-Einstein condensate. For the stability of a system, an additional external…

量子气体 · 物理学 2021-09-22 I. V. Lukin , A. G. Sotnikov , Yu. V. Slyusarenko

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

其他凝聚态物理 · 物理学 2011-11-10 George E. Cragg , Arthur K. Kerman

The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

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

We study a many-body system of interacting fermionic atoms of two species that are in thermodynamic equilibrium with their condensed heteronuclear bound states (molecules). In order to describe such an equilibrium state, we use a…

量子气体 · 物理学 2017-06-30 A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

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
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