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We discuss the response of a Bose-Einstein condensate to a change in the scattering length, which is experimentally realized by tuning the magnetic field near a Feshbach resonance. In particular, we consider the collapse of the condensate…

Statistical Mechanics · Physics 2014-10-13 R. A. Duine , H. T. C. Stoof

Analysis based on the energy spectrum of noninteracting bosons shows that, under the circumstance of parallel rotation and magnetic field, charged bosons form a Bose-Einstein condensate because of the lift of the Landau level degeneracy by…

Nuclear Theory · Physics 2022-11-18 Tao Guo , Jianing Li , Chengfu Mu , Lianyi He

We study the dynamics of a two-mode Bose-Einstein condensate in the vicinity of a mean-field dynamical instability. Convergence to mean-field theory (MFT), with increasing total number of particles $N$, is shown to be logarithmically slow.…

Atomic Physics · Physics 2009-11-07 J. R. Anglin , A. Vardi

We consider two heavy particles immersed in a Bose-Einstein condensate in three dimensions and compute their mutual interaction induced by excitations of the medium. For an ideal Bose gas, the induced interaction is Newtonian up to a shift…

Quantum Gases · Physics 2023-06-08 Moritz Drescher , Manfred Salmhofer , Tilman Enss

We have investigated the role of momentum dependent s-wave and higher partial wave strong interactions to determine the ground state properties and the column densities in the Bose-Einstein condensate (BEC) for large scattering length (a)…

Quantum Gases · Physics 2011-01-28 Moumita Gupta , Krishna Rai Dastidar

We investigate the spatial patterns of the ground state of two interacting Bose-Einstein condensates. We consider the general case of two different atomic species (with different mass and in different hyperfine states) trapped in a magnetic…

Condensed Matter · Physics 2016-08-31 Francesco Riboli , Michele Modugno

Bose systems, subject to the action of external random potentials, are considered. For describing the system properties, under the action of spatially random potentials of arbitrary strength, the stochastic mean-field approximation is…

Disordered Systems and Neural Networks · Physics 2015-05-13 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We study the existence of energy minimizers for a Bose-Einstein condensate with dipole-dipole interactions, tightly confined to a plane. The problem is critical in that the kinetic energy and the (partially attractive) interaction energy…

Mathematical Physics · Physics 2018-09-26 Arnaud Eychenne , Nicolas Rougerie

Over the last few years numerous papers concerning analog models for gravity have been published. It was shown that the dynamical equation of several systems (e.g. Bose-Einstein condensates with a sink or a vortex) have the same wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Silke E. Ch. Weinfurtner

The dynamics of a 2D Bose-Einstein condensate in optical trap is studied taking into consideration fluctuations of the far-off-resonance laser field intensity. The problem is described in the frame of the mean field Gross-Pitaevskii…

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

We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

This paper investigates quantum diffusion of matter waves in two-dimensional random potentials, focussing on expanding Bose-Einstein condensates in spatially correlated optical speckle potentials. Special care is taken to describe the…

Disordered Systems and Neural Networks · Physics 2009-11-13 C. Miniatura , R. C. Kuhn , D. Delande , C. A. Mueller

Small deviations from purely bosonic behavior of trapped atomic Bose-Einstein condensates are investigated with the help of the quon algebra, which interpolates between bosonic and fermionic statistics. A previously developed formalism is…

Soft Condensed Matter · Physics 2008-11-26 S. S. Avancini , J. R. Marinelli , G. Krein

Recent results on effects of Bose-Einstein symmetrization in a system of independently produced particles are interpreted in terms of statistical physics. For a large class of distributions, the effective sizes of the system in momentum and…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bialas , K. Zalewski

The possibility that dark matter, whose existence is inferred from the study of the galactic rotation curves, and from the mass deficit in galaxy clusters, can be in a form of a Bose-Einstein Condensate, has been extensively investigated…

General Relativity and Quantum Cosmology · Physics 2015-09-01 Tiberiu Harko , Francisco S. N. Lobo

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

We study the dynamic structure factor of two coherent bright solitary waves in attractive Bose- Einstein condensates confined in a harmonic trap. We demonstrate that the wave function of the two solitary waves with a fixed relative phase…

Other Condensed Matter · Physics 2008-05-05 Weibin Li

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled…

Other Condensed Matter · Physics 2007-05-23 Ralf Schützhold , Michael Uhlmann , Yan Xu , Uwe R. Fischer

We analyze the possibility that due to their superfluid properties some compact astrophysical objects may contain a significant part of their matter in the form of a Bose-Einstein condensate. To study the condensate we use the…

Solar and Stellar Astrophysics · Physics 2013-05-30 P. H. Chavanis , T. Harko

The phase transition to a Bose-Einstein condensate is unusual in that it is not necessarily driven by inter-particle interactions but can occur in an ideal gas as a result of a purely statistical saturation of excited states. However,…

Quantum Gases · Physics 2012-03-12 Robert P. Smith , Zoran Hadzibabic
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