Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time
DOI10.3934/DCDSB.2015.20.2793zbMath1325.35205OpenAlexW2526048518MaRDI QIDQ500138
Reika Fukuizumi, Romain Poncet, Anne de Bouard
Publication date: 1 October 2015
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.2793
stochastic partial differential equationsnonlinear Schrödinger equationharmonic potentialvorticeswhite noisecollective coordinates approach
NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fokker-Planck equations (35Q84)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cauchy problem and Ehrenfest's law of nonlinear Schrödinger equations with potentials
- Instability of vortex solitons for 2D focusing NLS
- Vortex solitons for 2D focusing nonlinear Schrödinger equation.
- Theory of singular vortex solutions of the nonlinear Schrödinger equation
- Random modulation of solitons for the stochastic Korteweg-de Vries equation
- Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise
- On the global Cauchy problem for some nonlinear Schrödinger equations
- Gross-Pitaevskii theory of the rotating Bose gas
- Spectrally stable encapsulated vortices for nonlinear Schrödinger equations
- Nonradial solutions of a semilinear elliptic equation in two dimensions
- Soliton perturbations and the random Kepler problem
- Exit problems related to the persistence of solitons for the Korteweg-de Vries equation with small noise
- Long time motion of NLS solitary waves in a confining potential
- Solitary wave dynamics in an external potential
- DYNAMICS OF THE GROUND STATE AND CENTRAL VORTEX STATES IN BOSE–EINSTEIN CONDENSATION
- Spectra of Linearized Operators for NLS Solitary Waves
- Dynamical invariants for variable quadratic Hamiltonians
- Numerical computation of solitons for optical systems
- Modulational Stability of Ground States of Nonlinear Schrödinger Equations
- Representation formula for stochastic Schrödinger evolution equations and applications
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow
- Spectral Stability of Vortices in Two-Dimensional Bose–Einstein Condensates via the Evans Function and Krein Signature
- Stochastic fluctuations in the Gross–Pitaevskii equation
This page was built for publication: Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time