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Related papers: Number-Conserving Approaches for Atomic Bose-Einst…

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A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both…

Statistical Mechanics · Physics 2015-06-24 V. I. Yukalov

A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange multiplier to enforce the $L^2$ conservation and a free energy…

Numerical Analysis · Mathematics 2025-11-18 Jing Guo , Cheng Wang , Dong Wang

A stable non ideal Bose system whose energy operator includes a perturbations depending on the square root of the number operator associated to the zero mode energy is analyzed, demonstrating that, in presence or absence of a gap in the one…

Statistical Mechanics · Physics 2020-01-07 Marco Corgini

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof

We have begun a series of experiments on mixed bosonic quantum fluids. Our system is mixed Bose-Einstein condensates in dilute Rb-87. By simultaneously trapping the atoms in two different hyperfine states, we are able to study the dynamics…

Condensed Matter · Physics 2007-05-23 E. A. Cornell , D. S. Hall , M. R. Matthews , C. E. Wieman

We study peculiarities of Bose-Einstein condensation of photons that are in thermodynamic equilibrium with atoms of noninteracting gases. General equations of the thermodynamic equilibrium of the system under study are obtained. We examine…

Quantum Gases · Physics 2013-07-31 Alex Kruchkov , Yurii Slyusarenko

The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and…

Quantum Gases · Physics 2018-12-18 Ofir E. Alon , Lorenz S. Cederbaum

A Bose-Einstein condensate is created in a simple and robust miniature Ioffe-Pritchard trap, the so-called Z trap. This trap follows from the mere combination of a Z-shaped current carrying wire and a homogeneous bias field. The…

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

Statistical Mechanics · Physics 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

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…

Quantum Gases · Physics 2020-02-19 Rob G. McDonald , Peter S. Barnett , Fradom Atayee , Ashton S. Bradley

The Bose-Einstein condensates recently created in trapped atomic gases are mesoscopic systems, in two senses: (a) Their size fall between macroscopic and microscopic systems; (b) They have a quantum phase that can be manipulated in…

Condensed Matter · Physics 2007-05-23 Kerson Huang

We report the computational discovery of complex, topologically charged, and spectrally stable states in three-dimensional multi-component nonlinear wave systems of nonlinear Schr{\"o}dinger type. While our computations relate to…

Pattern Formation and Solitons · Physics 2023-02-01 N. Boullé , I. Newell , P. E. Farrell , P. G. Kevrekidis

Out of thermal equilibrium, bosonic quantum systems can Bose-condense away from the ground state, featuring a macroscopic occupation of an excited state or even of multiple states in the so-called Bose-selection scenario. In previous work,…

Quantum Gases · Physics 2024-09-12 Francesco Petiziol , André Eckardt

Bose-Einstein condensates confined in traps exhibit unique features which have been the object of extensive experimental and theoretical studies in the last few years. In this paper I will discuss some issues concerning the behaviour of the…

Condensed Matter · Physics 2009-09-25 Sandro Stringari

We outline the general features of the conventional mean-field theory for the description of Bose-Einstein condensates at near zero temperatures. This approach, based on a phenomenological model, appears to give excellent agreement with…

Statistical Mechanics · Physics 2009-10-30 N. P. Proukakis , K. Burnett

This Resource Letter provides a guide to the literature on Bose-Einstein condensation in trapped dilute gases. Journal articles and books are cited for the following topics: history, technological advances, condensates as quantum fluids,…

Condensed Matter · Physics 2009-11-10 David S. Hall

We report the formation of Bose-Einstein condensates into non-equilibrium states. Our condensates are much longer than equilibrium condensates with the same number of atoms, show strong phase fluctuations, and have a dynamical evolution…

We investigate schemes to dynamically create many particle entangled states of a two component Bose-Einstein condensate in a very short time proportional to 1/N where $N$ is the number of condensate particles. For small $N$ we compare exact…

Soft Condensed Matter · Physics 2009-11-07 A. Micheli , D. Jaksch , J. I. Cirac , P. Zoller

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…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in…

General Relativity and Quantum Cosmology · Physics 2015-06-12 E. Castellanos , G. Chacon-Acosta