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We describe repulsively interacting Bose-Einstein condensates in spatially correlated disorder potentials of arbitrary dimension. The first effect of disorder is to deform the mean-field condensate. Secondly, the quantum excitation spectrum…

Quantum Gases · Physics 2011-06-28 Christopher Gaul , Cord A. Müller

After reviewing the ideal Bose-Einstein gas in a box and in a harmonic trap, I discuss the effect of interactions on the formation of a Bose-Einstein condensate (BEC), along with the dynamics of small-amplitude perturbations (the Bogoliubov…

Statistical Mechanics · Physics 2015-05-13 Alexander L. Fetter

In this article we have investigated the possibility of Bose-Einstein Condensation (BEC) in a frame undergoing uniform acceleration or in other wards, in Rindler space associated with the uniformly accelerated frame. We have followed a very…

General Relativity and Quantum Cosmology · Physics 2017-11-13 Sanchita Das , Somenath Chakraborty

Wilson's renormalization-group approach to the weakly-interacting single-component Bose gas is discussed within the symmetry-broken, condensate phase. Extending upon the work by Bijlsma and Stoof [Phys. Rev. A 54, 5085 (1996), see…

Quantum Gases · Physics 2025-04-21 Niklas Rasch , Aleksandr N. Mikheev , Thomas Gasenzer

The resonant formation of nonlinear coherent modes in trapped Bose-Einstein condensates is studied. These modes represent nonground-state Bose condensates. The methods of describing the spectrum of the nonlinear modes are discussed. The…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

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

We apply a Boltzmann approach to the kinetic regime of a relativistic Bose-Einstein condensate of scalar bosons by decomposing the one-particle distribution function in a condensate part and a non-zero momentum part of excited modes,…

High Energy Physics - Phenomenology · Physics 2016-03-23 Alex Meistrenko , Hendrik van Hees , Kai Zhou , Carsten Greiner

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , David L. Feder

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 analyze the results of a recent experiment with bosonic rubidium atoms harmonically confined in a quasi-two-dimensional geometry. In this experiment a well defined critical point was identified, which separates the high-temperature…

Other Condensed Matter · Physics 2008-05-06 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Steffen Patrick Rath , Jean Dalibard

We study theoretically some effects produced by a propagation of the charged particles in dilute gases of alkali-metal atoms in the state with Bose-Einstein condensates. The energy change of the high-speed (relativistic) particle that…

Quantum Gases · Physics 2015-05-19 Yurii Slyusarenko , Andrii Sotnikov

The boundary effects on the Bose-Einstein condensation of a Bose gas with a nonvanishing chemical potential on an ultra-static space-time are studied. High temperature regime, which is the relevant regime for the relativistic gas, is…

General Physics · Physics 2015-05-14 L. Akant , E. Ertugrul , Y. Gul , O. T. Turgut

We consider 2d Maxwell system defined on the Rindler space with metric ds^2=\exp(2a\xi)\cdot(d\eta^2-d\xi^2) with the goal to study the dynamics of the ghosts. We find an extra contribution to the vacuum energy in comparison with Minkowski…

General Relativity and Quantum Cosmology · Physics 2010-12-09 Ariel R. Zhitnitsky

We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we…

Quantum Gases · Physics 2018-09-12 Scott Robertson , Florent Michel , Renaud Parentani

We rapidly change the scattering length a_s of a 87Rb Bose-Einstein condensate by means of a Feshbach resonance, simultaneously releasing the condensate from its harmonic trapping potential. When a_s is changed from positive to negative,…

Quantum Gases · Physics 2012-12-10 R. L. Compton , Y. -J. Lin , K. Jimenez-Garcia , J. V. Porto , I. B. Spielman

We consider Bose-Einstein condensation in flat-band models from a real-space perspective. Using a basis of compact localized states, we reformulate the minimization of the mean-field energy as a Euclidian geometry problem. Within Bogoliubov…

Quantum Gases · Physics 2026-03-11 Kukka-Emilia Huhtinen

In this paper, we study the problem of massless particle creation in a flat, homogeneous and isotropic universe in the framework of $f(G)$ gravity. The Bogolyubov coefficients are calculated for the accelerating power-law solutions of the…

General Relativity and Quantum Cosmology · Physics 2018-09-03 R. Rashidi , F. Ahmadi , M. R. Setare

Realistic methods to create vortices in spin-orbit-coupled Bose-Einstein condensates are discussed. It is shown that, contrary to common intuition, rotation of the trap containing a spin-orbit condensate does not lead to an equilibrium…

Quantum Gases · Physics 2013-05-29 Juraj Radic , Tigran Sedrakyan , Ian Spielman , Victor Galitski

It is shown using the Gross-Pitaevskii equation that resonance states of Bose-Einstein condensates with attractive interactions can be stabilized into true bound states. A semiclassical variational approximation and an independent quantum…

Soft Condensed Matter · Physics 2007-05-23 Nimrod Moiseyev , L. D. Carr , Boris A. Malomed , Y. B. Band

The derivation of mean-field limits for quantum systems at zero temperature has attracted many researchers in the last decades. Recent developments are the consideration of pair correlations in the effective description, which lead to a…

Mathematical Physics · Physics 2019-12-12 Sören Petrat , Peter Pickl , Avy Soffer