Results 71 to 80 of about 1,617,542 (166)
New opportunities for creating quantum states of light and matter with intense laser fields
Nanophotonics, Volume 14, Issue 11, Page 1837-1855, June 2025.Abstract Nonlinear dynamics provide an indispensable resource for creating quantum states of light, as well as other bosonic systems. Seminal work using second‐ and third‐order nonlinear optical crystals, cavity quantum electrodynamics, and superconducting circuits, have enabled generating squeezed states, as well as various non‐Gaussian quantum states
Nicholas Rivera
wiley +1 more source
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
Optical control of topological end states via soliton formation in a 1D lattice
Nanophotonics, Volume 14, Issue 6, Page 769-775, April 2025.Abstract Discrete spatial solitons are self‐consistent solutions of the discrete nonlinear Schrödinger equation that maintain their shape during propagation. Here we show, using a pump‐probe technique, that soliton formation can be used to optically induce and control a linear topological end state in the bulk of a Su–Schrieffer–Heeger lattice, using ...
Christina Jörg +3 more
wiley +1 more source
Nonautonomous multisoliton solutions of the 1D Gross-Pitaevskii equation with time-dependent coefficients [PDF]
, 2014 In this paper we investigate bright multisoliton solutions of the one-dimensional Gross-Pitaevskii equationwith a parabolic potential, a time-dependent nonlinearity, and a term related to gain or loss.
Pérez Riascos, Alejandro +1 more
core +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
Stochastic fluctuations in the Gross-Pitaevskii equation [PDF]
, 2007 We study from a mathematical point of view a model equation for Bose Einstein condensation, in the case where the trapping potential varies randomly in time.
De Bouard, Anne, Fukuizumi, Reika
core +1 more source
Travelling Waves for the Gross-Pitaevskii Equation
, 2017 本文的目標是探討Fabrice Bethuel,Philippe Gravejat,和 Jean-Claude Saut 在Gross- Pitaevskii方程式中關於二,三維度的行波解 c∂1u + ∆u + u(1 − |u|2) = 0 前四章節我們透過最小化能量在動量固定下來探討解之存在性,並提供一些構造 這些定理的動機。 最後一章節我們討論Gross-Pitaevskii equation未來的研究方向。In this thesis, Fabrice Bethuel, Philippe ...
葉冠廷, Yeh, Kuan-Ting
core
Vortex rings for the Gross-Pitaevskii equation
, 2004 We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pitaevskii (GP) equation in dimension N 3 3. We also extend the asymptotic analysis of the free field Ginzburg-Landau equation to a larger class of ...
Orlandi, G. +5 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source