Thermal Fluctuations of Vortex Matter in Trapped Bose-Einstein Condensates

Abstract

We perform Monte Carlo studies of vortices in three dimensions in a cylindrical confinement, with uniform and nonuniform density. The former is relevant to rotating 4He, the latter is relevant to a rotating trapped Bose--Einstein condensate. In the former case we find dominant angular thermal vortex fluctuations close to the cylinder wall. For the latter case, a novel effect is that at low temperatures the vortex solid close to the center of the trap crosses directly over to a tension-less vortex tangle near the edge of the trap. At higher temperatures an intermediate tensionful vortex liquid located between the vortex solid and the vortex tangle, may exist.

arXiv commentv2: figure quality improved; v3: references added, minor extentions following referee requests

References in corpus (13)

• Vortex formation in a stirred Bose-Einstein condensate
• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
• Formation and Decay of Vortex Lattices in Bose-Einstein Condensates at Finite Temperatures
• Topological phase-fluctuations, amplitude fluctuations, and criticality in extreme type-II superconductors
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Extreme Type-II Superconductors in a Magnetic Field: A Theory of Critical Fluctuations
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
• Bragg Spectroscopy of Vortex Lattices in Bose-Einstein condensates
• Experimental observation of the 'Tilting Mode' of an array of vortices in a dilute Bose-Einstein Condensate
• Vortex lattice stability and phase coherence in three-dimensional rapidly rotating Bose condensates

Cited by in corpus (11)

• Superfluid Expansion of a Strongly Interacting Fermi Gas
• Uniformly frustrated bosonic Josephson-junction arrays
• Unusual states of vortex matter in mixtures of Bose--Einstein Condensates on rotating optical lattices
• Equatorial Waves in Rotating Bubble-Trapped Superfluids
• Hidden vortex lattices in a thermally paired superfluid
• Dislocation-Mediated Melting in Superfluid Vortex Lattices
• Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
• Screening properties and phase transitions in unconventional plasmas for Ising-type quantum Hall states
• Fluctuation effects in rotating Bose-Einstein condensates with broken $\mathrm{SU}(2)$ and $\mathrm{U}(1)\times \mathrm{U}(1)$ symmetries in the presence of intercomponent density-density interactions
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• Probing phase-separation in Bose-Fermi mixtures by the critical superfluid velocity