Critical rotational speeds for superfluids in homogeneous traps

DOI10.1063/1.3697418zbMath1278.82069arXiv1108.5429OpenAlexW3105050599MaRDI QIDQ2872283

Michele Correggi, Jakob Yngvason, Nicolas Rougerie, Florian Pinsker

Publication date: 14 January 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5429

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Statistical mechanics of superfluids (82D50) Critical phenomena in equilibrium statistical mechanics (82B27) Superfluids (classical aspects) (76A25)

Related Items (21)

Local density approximation for the almost-bosonic anyon gas ⋮ On the third critical speed for rotating Bose-Einstein condensates ⋮ Inhomogeneous vortex patterns in rotating Bose-Einstein condensates ⋮ Beyond superfluidity in non-equilibrium Bose–Einstein condensates ⋮ The average field approximation for almost bosonic extended anyons ⋮ The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions ⋮ Semiclassical analysis of quantum asymptotic fields in the Yukawa theory ⋮ Surface superconductivity in presence of corners ⋮ On the Ginzburg-Landau functional in the surface superconductivity regime ⋮ Coupling of heat flux and vortex polarization in superfluid helium ⋮ Large deviations of radial statistics in the two-dimensional one-component plasma ⋮ Effects of corners in surface superconductivity ⋮ Almost flat angles in surface superconductivity ⋮ Quantum Hall phases and plasma analogy in rotating trapped Bose gases ⋮ Surface effects in superconductors with corners ⋮ 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 ⋮ Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime ⋮ Local density approximation for almost-bosonic anyons ⋮ On Bose-Einstein condensates in the Thomas-Fermi regime ⋮ Introduction to Special Issue: In Honor of Elliott Lieb's 80th birthday

Cites Work

• Unnamed Item
• The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate
• Critical rotational speeds in the Gross-Pitaevskii theory on a disc with Dirichlet boundary conditions
• The mathematics of the Bose gas and its condensation.
• The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap: extreme rotation regimes
• Vortex rings in fast rotating Bose-Einstein condensates
• The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate
• Strongly correlated phases in rapidly rotating Bose gases
• Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
• The TF limit for rapidly rotating Bose gases in anharmonic traps
• Derivation of the Gross-Pitaevskii equation for rotating Bose gases
• Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
• Ginzburg-Landau type energy with discontinuous constraint
• Asymptotics for the minimization of a Ginzburg-Landau functional
• Limiting behavior of the Ginzburg-Landau functional
• Gross-Pitaevskii theory of the rotating Bose gas
• Non-existence of vortices in the small density region of a condensate
• Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates
• Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate
• Rapidly rotating Bose-Einstein condensates in strongly anharmonic traps
• Rapidly rotating Bose-Einstein condensates in homogeneous traps
• Energy and vorticity in fast rotating Bose–Einstein condensates
• ON THE ENERGY OF TYPE-II SUPERCONDUCTORS IN THE MIXED PHASE
• ENERGY EXPANSION AND VORTEX LOCATION FOR A TWO-DIMENSIONAL ROTATING BOSE–EINSTEIN CONDENSATE

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