Results 81 to 90 of about 634 (180)
Coupling Dynamics and Linear Polarization Phenomena in Codirectional Polariton Waveguide Couplers
Advanced Optical Materials, Volume 12, Issue 33, November 25, 2024.Rozas and co‐workers examine integrated devices utilizing polariton waveguides, forming codirectional couplers. With appropriate parameters, the transfer of polariton condensates between the arms is triggered and tunable Josephson‐type oscillations arise.
Elena Rozas +5 more
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Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Advances in High Energy Physics, 2020 In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space.
A. X. Martins +6 more
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Finite volumes for the Gross-Pitaevskii equation
Journal of Computational and Applied MathematicsWe study the approximation by a semi-discrete finite-volume scheme of the Gross-Pitaevskii equation with time-dependent potential in two dimensions, performing a two-point flux approximation scheme in space. We rigorously analyze the error bounds relying on discrete uniform Sobolev inequalities.
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Mathematische Nachrichten, Volume 297, Issue 10, Page 3870-3886, October 2024.Abstract The Gross–Pitaevskii (GP) equation is a model for the description of the dynamics of Bose–Einstein condensates. Here, we consider the GP equation in a two‐dimensional setting with an external periodic potential in the x$x$‐direction and a harmonic oscillator potential in the y$y$‐direction in the so‐called tight‐binding limit.
Steffen Gilg, Guido Schneider
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Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation
Electronic Journal of Differential Equations, 2014 We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation.
Haidar Mohamad
doaj
The stochastic Gross-Pitaevskii equation
, 2001 We show how to adapt the ideas of local energy and momentum conservation in order to derive modifications to the Gross-Pitaevskii equation which can be used phenomenologically to describe irreversible effects in a Bose-Einstein condensate. Our approach involves the derivation of a simplified quantum kinetic theory, in which all processes are treated ...
Anglin, C. W. Gardiner J. R. +1 more
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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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Tensor network methods for the Gross–Pitaevskii equation on fine grids
New Journal of PhysicsThe Gross–Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems.
Ryan J J Connor +2 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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Effective Dynamics for N-Solitons of the Gross–Pitaevskii Equation [PDF]
Journal of Nonlinear Science, 2012 18 pages, 11 ...
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