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Bose-Einstein condensates of sodium atoms have been prepared in optical and magnetic traps in which the energy-level spacing in one or two dimensions exceeds the interaction energy between atoms, realizing condensates of lower…

We examine the feasibility of creating and measuring large relative number squeezing in multicomponent trapped Bose-Einstein condensates. In the absence of multimode effects, this squeezing can be arbitrarily large for arbitrarily large…

Quantum Physics · Physics 2015-06-16 Mattias T Johnsson , Graham R Dennis , Joseph J Hope

The problem of Bose-Einstein condensation for a relativistic ideal gas on a 3+1 dimensional manifold with a hyperbolic spatial part is analyzed in some detail. The critical temperature is evaluated and its dependence of curvature is pointed…

High Energy Physics - Theory · Physics 2009-10-22 Guido Cognola , Luciano Vanzo

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

The mean-field properties of finite-temperature Bose-Einstein gases confined in spherically symmetric harmonic traps are surveyed numerically. The solutions of the Gross-Pitaevskii (GP) and Hartree-Fock-Bogoliubov (HFB) equations for the…

Statistical Mechanics · Physics 2009-10-31 T. Bergeman , D. L. Feder , N. L. Balazs , B. I. Schneider

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

In this diplom-arbeit I consider a specific class of "analogue models" of curved spacetime that are specifically based on the use of Bose-Einstein condensates. As is usual in "analogue models", we are primarily interested in the kinematics…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Silke E. Ch. Weinfurtner

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

We consider the three-dimensional time-dependent Gross-Pitaevskii equation arising in the description of rotating Bose-Einstein condensates and study the corresponding scaling limit of strongly anisotropic confinement potentials. The…

Analysis of PDEs · Mathematics 2015-07-13 Florian Mehats , Christof Sparber

We study Bose-Einstein condensation in a linear trap with a dimple potential where we model dimple potentials by Dirac \del function. Attractive and repulsive dimple potentials are taken into account. This model allows simple, explicit…

Quantum Gases · Physics 2013-04-26 Haydar Uncu , Devrim Tarhan

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

Other Condensed Matter · Physics 2009-11-11 M. Cozzini , B. Jackson , S. Stringari

We observe the suppression of the 1D transport of an interacting elongated Bose-Einstein condensate in a random potential with a standard deviation small compared to the typical energy per atom, dominated by the interaction energy.…

An attractive Bose-Einstein condensate in two spatial dimensions is expected to collapse for supercritical values of the interaction strength. Moreover, it is known that for nonzero quanta of angular momentum and infinitesimal attraction…

Quantum Gases · Physics 2014-04-11 Marios C. Tsatsos

We investigate the structure and collective modes of a planar surface of a trapped Bose-Einstein condensed gas at zero temperature. In the long-wavelength limit we find a mode similar to the gravity wave on the surface of a fluid with the…

Condensed Matter · Physics 2009-10-31 U. Al Khawaja , C. J. Pethick , H. Smith

We derive an expression for the collective Casimir-Polder interaction of a trapped gas of condensed bosons with a plane surface through the coupling of the condensate atoms with the electromagnetic field. A systematic perturbation theory is…

Quantum Gases · Physics 2010-08-16 Jürgen Schiefele , Carsten Henkel

We develop a model of a strongly correlated Bose fluid model in a confined potential for the purpose of analyzing the localization of Bose-Einstein condensation and the disappearance of superfluidity. This work is motivated by the recent…

Disordered Systems and Neural Networks · Physics 2007-05-23 Michikazu Kobayashi , Makoto Tsubota

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…

Quantum Gases · Physics 2021-09-22 I. V. Lukin , A. G. Sotnikov , Yu. V. Slyusarenko

Extending the understanding of Bose-Einstein condensate (BEC) physics to new geometries and topologies has a long and varied history in ultracold atomic physics. One such new geometry is that of a bubble, where a condensate would be…

Quantum Gases · Physics 2019-12-10 N. Lundblad , R. A. Carollo , C. Lannert , M. J. Gold , X. Jiang , D. Paseltiner , N. Sergay , D. C. Aveline

We have developed an evaporative cooling technique that accelerates the circulation of an ultra-cold $^{87}$Rb gas, confined in a static harmonic potential. As a normal gas is evaporatively spun up and cooled below quantum degeneracy, it is…

Soft Condensed Matter · Physics 2009-02-19 P. C. Haljan , I. Coddington , P. Engels , E. A. Cornell
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