Results 101 to 110 of about 3,107,805 (229)
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
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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 +18 more
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Formal analytical solutions for the Gross-Pitaevskii equation
, 2007 Considering the Gross-Pitaevskii integral equation we are able to formally obtain an analytical solution for the order parameter $\Phi (x)$ and for the chemical potential $\mu $ as a function of a unique dimensionless non-linear parameter $\Lambda $.
Abdullaev +47 more
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The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring
Comptes Rendus. PhysiqueWe 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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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 +13 more
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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. +3 more
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Effective dynamics for $N$-solitons of the Gross-Pitaevskii equation [PDF]
, 2010 Trevor Potter
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Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method
AIP Advances, 2014 We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
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Stationary solutions to the multi-dimensional Gross–Pitaevskii equation with double-well potential [PDF]
, 2014 Andrea Sacchetti
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International Journal of Applied Mathematics and Computer Science, 2019 The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
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