The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions
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Publication:2204769
DOI10.1007/s00205-020-01564-wzbMath1451.82005arXiv1901.09619OpenAlexW3044508621MaRDI QIDQ2204769
Publication date: 16 October 2020
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.09619
Gross-Pitaevskii energy functionalrotating Bose-Einstein condensatesexistence of minimizers, nonexistence of vortices
Nonlinear elliptic equations (35J60) Existence theories for free problems in two or more independent variables (49J10) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum equilibrium statistical mechanics (general) (82B10) Variational methods for second-order elliptic equations (35J20) Special quantum systems, such as solvable systems (81Q80)
Related Items
Existence and Asymptotic Behavior of Ground States for Rotating Bose–Einstein Condensates ⋮ Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed ⋮ Vortex states of Bose-Einstein condensates with attractive interactions ⋮ Concentration and local uniqueness of minimizers for mass critical degenerate Kirchhoff energy functional ⋮ Self-bound vortex states in nonlinear Schrödinger equations with LHY correction ⋮ Ground states of attractive Bose gases in rotating anharmonic traps ⋮ Existence and uniqueness of constraint minimizers for the planar Schrödinger-Poisson system with logarithmic potentials ⋮ Ground states of attractive Bose gases near the critical rotating velocity ⋮ Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations ⋮ Threshold for blowup and stability for nonlinear Schrödinger equation with rotation ⋮ Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation ⋮ Remarks on nonlinear Schrödinger equations arising on rotational Bose-Einstein condensates ⋮ Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions ⋮ Stabilization in dipolar Gross-Pitaevskii theory by mass-subcritical perturbation ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps
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