Gross-Pitaevskii theory of the rotating Bose gas
From MaRDI portal
Publication:1849414
DOI10.1007/s00220-002-0695-2zbMath1004.82003arXivmath-ph/0110010OpenAlexW3101389614MaRDI QIDQ1849414
Publication date: 1 December 2002
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0110010
Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in statistical physics (46N55)
Related Items (39)
Bose–Einstein condensation on hyperbolic spaces ⋮ Existence and Asymptotic Behavior of Ground States for Rotating Bose–Einstein Condensates ⋮ Rapidly rotating Bose-Einstein condensates in strongly anharmonic traps ⋮ Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed ⋮ Tracking local optimality for cost parameterized optimization problems ⋮ Vortices in rotating Bose-Einstein condensates confined in homogeneous traps ⋮ Bosons in disc-shaped traps: from 3D to 2D ⋮ The Finite Element Method for the Time-Dependent Gross--Pitaevskii Equation with Angular Momentum Rotation ⋮ Exploring bistability in rotating Bose-Einstein condensates by a quotient transformation invariant continuation method ⋮ Numerical simulations on stationary states for rotating two-component Bose-Einstein condensates ⋮ Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates ⋮ Second-order flows for computing the ground states of rotating Bose-Einstein condensates ⋮ Nonlinear bound states with prescribed angular momentum ⋮ The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap: extreme rotation regimes ⋮ Global well-posedness, blow-up and stability of standing waves for supercritical NLS with rotation ⋮ Derivation of the Dipolar Gross--Pitaevskii Energy ⋮ Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ A note on 2D focusing many-boson systems ⋮ Threshold for blowup and stability for nonlinear Schrödinger equation with rotation ⋮ Non linear Schrödinger limit of bosonic ground states, again ⋮ Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions ⋮ Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation ⋮ Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time ⋮ Remarks on nonlinear Schrödinger equations arising on rotational Bose-Einstein condensates ⋮ On the characterization of vortex configurations in the steady rotating Bose–Einstein condensates ⋮ Review Article: Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates ⋮ Stability and instability properties of rotating Bose-Einstein condensates ⋮ Collective excitations of Bose gases in the mean-field regime ⋮ Critical rotational speeds in the Gross-Pitaevskii theory on a disc with Dirichlet boundary conditions ⋮ Derivation of the Gross-Pitaevskii equation for rotating Bose gases ⋮ The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases ⋮ Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger ⋮ BOSONS IN RAPID ROTATION ⋮ Modeling and Computation of Bose-Einstein Condensates: Stationary States, Nucleation, Dynamics, Stochasticity ⋮ Critical rotational speeds for superfluids in homogeneous traps ⋮ The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit ⋮ Bose gases, Bose–Einstein condensation, and the Bogoliubov approximation
This page was built for publication: Gross-Pitaevskii theory of the rotating Bose gas