Results 81 to 90 of about 1,617,592 (202)
Integrability of the Gross–Pitaevskii equation with Feshbach resonance management [PDF]
Physics Letters A, 2008 In this paper we study the integrability of a class of Gross-Pitaevskii equations managed by Feshbach resonance in an expulsive parabolic external potential. By using WTC test, we find a condition under which the Gross-Pitaevskii equation is completely integrable.
Zhao, Dun, Luo, Hong-Gang, Chai, Hua-Yue
openaire +2 more sources
Orbital frontiers: harnessing higher modes in photonic simulators
Nanophotonics, Volume 14, Issue 24, Page 4273-4283, December 2025.Abstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Jiho Noh +3 more
wiley +1 more source
On nonlocal Gross-Pitaevskii equations with periodic potentials [PDF]
Journal of Mathematical Physics, 2012 The Gross-Pitaevskii equation is a widely used model in physics, in particular in the context of Bose-Einstein condensates. However, it only takes into account local interactions between particles. This paper demonstrates the validity of using a nonlocal formulation as a generalization of the local model.
openaire +3 more sources
On the Gross–Pitaevskii equation for trapped dipolar quantum gases [PDF]
Nonlinearity, 2008 We study the time-dependent Gross-Pitaevskii equation describing Bose-Einstein condensation of trapped dipolar quantum gases. Existence and uniqueness as well as the possible blow-up of solutions are studied. Moreover, we discuss the problem of dimension-reduction for this nonlinear and nonlocal Schrodinger equation.
Carles, Rémi +2 more
openaire +5 more sources
Symmetry operators of the two-component Gross–Pitaevskii equation with a Manakov-type nonlocal nonlinearity [PDF]
, 2016 We consider an integro-differential 2-component multidimensional Gross-Pitaevskii equation with a Manakov-type cubic nonlocal nonlinearity. In the framework of the WKB-Maslov semiclassical formalism, we obtain a semiclassically reduced 2-component ...
Shapovalov, Alexander V. +2 more
core +2 more sources
Stationary martingale solution for the 2D stochastic Gross-Pitaevskii equation
, 2022 In this short report we give a proof of the existence of a stationary solution to the Gross-Pitaevskii equation in $2d$ driven by a space-time white ...
Debussche, Arnaud +2 more
core +4 more sources
Using Artificial Neural Networks to Solve the Gross–Pitaevskii Equation
AxiomsThe current work proposes the incorporation of an artificial neural network to solve the Gross–Pitaevskii equation (GPE) efficiently, using a few realistic external potentials.
Ioannis G. Tsoulos +2 more
doaj +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
Discrete Chiral Ballistic Polariton Laser
Laser &Photonics Reviews, Volume 19, Issue 15, August 7, 2025.Planar microcavities in the strong light–matter coupling regime exhibit exciton‐polariton modes with a strong chiral response toward circularly polarized light. This feature is exploited alongside inherent spin‐orbit coupling of cavity light to generate giant discrete optical vortices in polygonal arrays of exciton‐polariton condensates.
Zuzanna Werner +5 more
wiley +1 more source
Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.The critical parameters and energies, at which the wave function of the Bose Einstein Condensate in a double well trap exhibit the symmetry breaking, are estimated. The phase space representation of the states is obtained trough the Wigner function and the trends of the negativities are analyzed.
D. J. Nader, E. Serrano‐Ensástiga
wiley +1 more source