Results 131 to 140 of about 32,263 (260)

A uniqueness result for travelling waves in the Gross-Pitaevskii equation [PDF]

, 2022
Eliot Pacherie
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Semiclassical Corrections to a Static Bose-Einstein Condensate at Zero Temperature

, 1999
In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current density. These
A. Griffin, A. L. Fetter, C. C. Bradley, D. A. Huse, D. M. Stamper-Kurn, E. Braaten, E. Braaten, E. Timmermans, Eric Braaten, G. Baym, Jens O. Andersen, K. B. Davis, M. H. Anderson, P. C. Hohenberg, S. Inouye, S. Stringari, T. Haugset, V. N. Popov, V. V. Goldman   +18 more
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The stochastic Gross-Pitaevskii equation: III

, 2006
A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and introduces centrifugal effects in the classical field evolution.
Bradley, A. S., Gardiner, C. W.
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Fractonic superfluids

Physical Review Research, 2020
We propose a superfluid phase of “many-fracton system” in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
doaj   +1 more source

Study of implosion in an attractive Bose-Einstein condensate

, 2016
By solving the Gross-Pitaevskii equation analytically and numerically, we reexamine the implosion phenomena that occur beyond the critical value of the number of atoms of an attractive Bose-Einstein condensate (BEC) with cigar-shape trapping geometry. We
Choudhuri, A., Dey, Bishwajyoti, Porsezian, K., Sabari, S.   +3 more
core   +1 more source

The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring

Comptes Rendus. Physique
We present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
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Accelerated numerical algorithms for steady states of Gross-Pitaevskii equations coupled with microwaves [PDF]

, 2022
Di Wang, Qi Wang
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Pade approximations of solitary wave solutions of the Gross-Pitaevskii equation

, 2003
Pade approximants are used to find approximate vortex solutions of any winding number in the context of Gross-Pitaevskii equation for a uniform condensate and condensates with axisymmetric trapping potentials.
Berloff N G, Berloff N G, Caradoc-Davies B M, Donnelly R J, Fetter A L, Ginzburg V L, Gross E P, Jones C A, Jones C A, Konotop V V, Natalia G Berloff, Nazarenko S, Pitaevskii L P, Roberts P H   +13 more
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Effective dynamics for $N$-solitons of the Gross-Pitaevskii equation [PDF]

, 2010
Trevor Potter
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Numerical method for evolving the projected Gross-Pitaevskii equation [PDF]

Physical Review E, 2008
In this paper we describe a method for evolving the projected Gross-Pitaevskii equation (PGPE) for a Bose gas in a harmonic oscillator potential. The central difficulty in solving this equation is the requirement that the classical field is restricted to a small set of prescribed modes that constitute the low energy classical region of the system.
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