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Related papers: Bose Condensate in External Potential: A Thomas-Fe…

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We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

Excited states of Bose--Einstein condensates are considered in the semi-classical (Thomas-Fermi) limit of the Gross--Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potential. The relative dynamics of dark…

Pattern Formation and Solitons · Physics 2015-05-14 M. Coles , D. E. Pelinovsky , P. G. Kevrekidis

In experiments involving Bose condensed atoms trapped in magnetic bottles, plugging the hole in the bottle potential with a LASER beam produces a new potential with two minima, and thus a condensate order parameter (i.e. wave function) with…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

We study the properties of elongated Bose-Einstein condensates. First, we show that the dimensions of the condensate after expansion differs from the 3D Thomas-Fermi regime. We also study the coherence length of such elongated condensates.

Condensed Matter · Physics 2007-05-23 P. Bouyer , J. H. Thywissen , F. Gerbier , M. Hugbart , S. Richard , J. Retter , A. Aspect

We treat the problem of self-consistently interacting bosons in the presence of a finite (but macroscopic) potential well within a quasi-classical approximation for the normal component and the order parameter. We solve the equilibrium…

Condensed Matter · Physics 2022-11-04 L. Banyai , A. M. Bundaru , H. Haug

Screening in plasma with Bose-Einstein condensate is studied. Finite temperature effects are taken into account. It is shown that, due to condensate effects, the potential has several unusual features. It contains two oscillating terms, one…

High Energy Physics - Theory · Physics 2012-09-18 Angela Lepidi

An optical speckle potential is used to investigate the static and dynamic properties of a Bose-Einstein condensate in the presence of disorder. For strong disorder the condensate is localized in the deep wells of the potential. With…

Other Condensed Matter · Physics 2009-11-10 J. E. Lye , L. Fallani , M. Modugno , D. Wiersma , C. Fort , M. Inguscio

We theoretically investigate the physics of interacting Bose-Einstein condensates at equilibrium in a weak (possibly random) potential. We develop a perturbation approach to derive the condensate wavefunction for an amplitude of the…

Other Condensed Matter · Physics 2007-05-23 Laurent Sanchez-Palencia

We use the Thomas-Fermi method to examine the thermodynamics of particles obeying Haldane exclusion statistics. Specifically, we study Calogero-Sutherland particles placed in a given external potential in one dimension. For the case of a…

Condensed Matter · Physics 2009-10-22 Diptiman Sen , R. K. Bhaduri

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian

We show how fragmentation of a Bose-Einstein condensate can occur given repulsive inter-particle interactions and a non-uniform external potential.

Quantum Physics · Physics 2015-06-26 R. W. Spekkens , J. E. Sipe

There is a long standing problem about how close a connection exists between superfluidity and Bose condensation. Employing recent technology, for the case of confined finite Bose condensed systems in TOP traps, these questions concerning…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

Collisional damping of the excitations in a Bose-condensed gas is investigated over the wide range of energies and temperatures. Numerical results for the damping rate are presented and a number of asymptotic and interpolating expressions…

Condensed Matter · Physics 2007-05-23 L. I. Plimak , M. J. Collett , D. F. Walls

We derive an exact solution to the Thomas-Fermi equation for a Bose-Einstein condensate which has dipole-dipole interactions as well as the usual s-wave contact interaction, in a harmonic trap. Remarkably, despite the non-local anisotropic…

Soft Condensed Matter · Physics 2010-01-28 Claudia Eberlein , Stefano Giovanazzi , Duncan H J O'Dell

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

We study the dynamics of condensate formation in an inhomogeneous trapped Bose gas with a positive interatomic scattering length. We take into account both the nonequilibrium kinetics of the thermal cloud and the Hartree-Fock mean-field…

Statistical Mechanics · Physics 2014-10-13 M. J. Bijlsma , E. Zaremba , H. T. C. Stoof

We develop the dilute Bose gas model with random potential in order to understand the Bose system in random media such as 4He in porous glass. Using the random potential taking account of the pore size dependence, we can compare…

Soft Condensed Matter · Physics 2009-11-07 Michikazu Kobayashi , Makoto Tsubota

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…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

We investigate a harmonically trapped two-component Bose--Einstein condensate within the miscible regime, close to its boundaries, for different ratios of effective intra- and inter-species interactions. We derive analytically a universal…

Quantum Gases · Physics 2015-05-28 J. Polo , P. Mason , S. Sridhar , T. P. Billam , V. Ahufinger , S. A. Gardiner

We discuss the optical loading of a Bose-Einstein condensate in the Thomas-Fermi regime. The condensate is loaded via spontaneous emission from a reservoir of excited-state atoms. By means of a master equation formalism, we discuss the…

Condensed Matter · Physics 2009-11-10 F. Floegel , L. Santos , M. Lewenstein