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Starting from the Bogoliubov diagonalization for the Hamiltonian of a weakly interacting Bose gas under the presence of a Bose-Enstein Condensate, we derive the kinetic equation for the Bogoliubov excitations. Without dropping any of the…

Quantum Gases · Physics 2020-03-25 Minh-Binh Tran , Yves Pomeau

The ground state of a gas of Bosons confined in an external trap potential and interacting via repulsive two-body forces has recently been shown to exhibit complete Bose-Einstein condensation in the dilute limit, yielding for the first time…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer

The dynamics of a metastable attractive Bose-Einstein condensate trapped by a system of laser beams is analyzed in the presence of small fluctuations of the laser intensity. It is shown that the condensate will eventually collapse. The…

Soft Condensed Matter · Physics 2007-05-23 J. Garnier , F. Kh. Abdullaev , B. B. Baizakov

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

Soft Condensed Matter · Physics 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

Condensed Matter · Physics 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

We analyze the ground-state properties and the excitation spectrum of Bose-Einstein condensates of trapped dipolar particles. First, we consider the case of a single-component polarized dipolar gas. For this case we discuss the influence of…

Condensed Matter · Physics 2007-05-23 K. Goral , L. Santos

Considering an effectively attractive quasi-one-dimensional Bose-Einstein condensate of atoms confined in a toroidal trap, we find that the system undergoes a phase transition from a uniform to a localized state, as the magnitude of the…

Condensed Matter · Physics 2009-11-07 G. M. Kavoulakis

Here we analyze the collective excitations as well as the expansion of a trapped Bose-Einstein condensate with a vortex line at its center. To this end, we propose a variational method where the variational parameters have to be carefully…

Quantum Gases · Physics 2014-02-11 R. P. Teles , V. S. Bagnato , F. E. A. dos Santos

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya

We demonstrate that atoms in magnetically insensitive hyperfine states (m=0) can be trapped efficiently by a Bose-Einstein Condensate of the same atomic species occupying a different hyperfine state. The latter is trapped magnetically.…

Other Condensed Matter · Physics 2008-11-17 Stephan Middelkamp , Igor Lesanovsky , Peter Schmelcher

The Bose-Einstein condensation of correlated atoms in a trap is studied by examining the effect of inter-particle correlations to one-body properties of atomic systems at zero temperature using a simplified formula for the correlated two…

Soft Condensed Matter · Physics 2009-11-07 Ch. C. Moustakidis , S. E. Massen

The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the correct description of particle fluctuations for any…

Quantum Gases · Physics 2015-05-13 V. I. Yukalov

We estimate the amount of temperature-dependent squeezing and entanglement in the collective excitations of trapped Bose-Einstein condensates. We also demonstrate an alternative method of temperature measurement for temperatures much less…

Condensed Matter · Physics 2009-11-07 J. Rogel-Salazar , S. Choi , G. H. C. New , K. Burnett

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…

Mathematical Physics · Physics 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

The process of exciting the gas of trapped bosons from an equilibrium initial state to strongly nonequilibrium states is described as a procedure of symmetry restoration caused by external perturbations. Initially, the trapped gas is cooled…

Quantum Gases · Physics 2015-06-16 V. S. Bagnato , V. I. Yukalov

We discuss the dynamics of a Bose-Einstein condensate in a double-well trap subject to phase noise and particle loss. The phase coherence of a weakly-interacting condensate, experimentally measured via the contrast in an interference…

Quantum Physics · Physics 2009-03-25 D. Witthaut , F. Trimborn , S. Wimberger

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…

High Energy Physics - Phenomenology · Physics 2020-09-16 Oleh Savchuk , Yehor Bondar , Oleksandr Stashko , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein , Horst Stoecker

We calculate the low energy elementary excitations of a Bose-Einstein Condensate in an effective magnetic field. The field is created by the interplay between light beams carrying orbital angular momentum and the trapped atoms. We examine…

Other Condensed Matter · Physics 2016-08-14 D. R. Murray , P. Öhberg , Damiá Gomila , Stephen M. Barnett

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…

Condensed Matter · Physics 2007-05-23 William J. Mullin