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.

v2: figure quality improved; v3: references added, minor extentions following referee requests

References in corpus (2)

• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Experimental observation of the 'Tilting Mode' of an array of vortices in a dilute Bose-Einstein Condensate

Cited by in corpus (8)

• 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
• 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