Results 71 to 80 of about 15,069 (140)
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
wiley +1 more source
Slowly rotating Bose Einstein condensate galactic dark matter halos, and their rotation curves
European Physical Journal C: Particles and Fields, 2018 If dark matter is composed of massive bosons, a Bose–Einstein condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction.
Xiaoyue Zhang +4 more
doaj +1 more source
Rigorous Derivation of the Gross-Pitaevskii Equation
, 2006 The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short scale repulsive interaction ...
Benjamin Schlein +4 more
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Complex Ginzburg–Landau equation for time‐varying anisotropic media
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract When extending the complex Ginzburg–Landau equation (CGLE) to more than one spatial dimension, there is an underlying question of whether one is capturing all the interesting physics inherent in these higher dimensions. Although spatial anisotropy is far less studied than its isotropic counterpart, anisotropy is fundamental in applications to ...
Robert A. Van Gorder
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Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
, 2008 In this paper, we establish the global well-posedness of the Cauchy problem for the Gross-Pitaevskii equation with an rotational angular momentum term in the space $\Real^2$.Comment: 10 ...
Avron +16 more
core +1 more source
Protocol for Nonlinear State Discrimination in Rotating Condensate
Advanced Quantum Technologies, Volume 7, Issue 6, June 2024.An approach to quantum computation leveraging the unique properties of Bose–Einstein condensates is considered. An experiment to implement single‐input quantum state discrimination in an atomtronic quantum interference device consisting of a rotating toroidal condensate is proposed.
Michael R. Geller
wiley +1 more source
Stationary and Dynamical Solutions of the Gross-Pitaevskii Equation for a Bose-Einstein Condensate in a PT symmetric Double Well [PDF]
, 2017 We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Cartarius , Holger +5 more
core
Topological edge and corner states in coupled wave lattices in nonlinear polariton condensates
Nanophotonics, Volume 13, Issue 4, Page 509-518, February 2024.Abstract Topological states have been widely investigated in different types of systems and lattices. In the present work, we report on topological edge states in double‐wave (DW) chains, which can be described by a generalized Aubry‐André‐Harper (AAH) model.
Tobias Schneider +4 more
wiley +1 more source
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
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
doaj +1 more source