Results 61 to 70 of about 1,617,542 (166)
Orbital frontiers: harnessing higher modes in photonic simulators
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
Symmetry operators of the two-component Gross–Pitaevskii equation with a Manakov-type nonlocal nonlinearity [PDF]
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
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
The 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
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
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
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
Rigorous Derivation of the Gross-Pitaevskii Equation
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 ...
Yau, Horng-Tzer +2 more
core +1 more source
Light–pulse atom interferometry with ultra‐cold quantum gases is proposed and numerically benchmarked as a competitive platform to test the modulo‐square hypothesis of Born's rule. The interferometric protocol utilizes a combination of double Bragg and single Raman diffraction pulses to induce multipath interference in Bose–Einstein condensates and ...
Simon Kanthak +3 more
wiley +1 more source
Rigorous Derivation of the Gross-Pitaevskii Equation
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 Schrödinger equation with a short-scale repulsive interaction ...
Erdős, László +2 more
core +1 more source

