Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
arXiv:0802.3225 · doi:10.1103/PhysRevA.77.043605
Abstract
Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on an assumption of an extended and homogeneous system. It is well known not to be the case in actual Bose--Einstein condensates in traps which are finite systems with nonuniform density. This raises the question to what extent one can speak of different aggregate states of vortex matter (vortex lattices, liquids and tensionless vortex tangle) in these system. To address this point, in the present work we focus on the finite-size, boundaries and density inhomogeneity effects on thermal vortex matter in a Bose--Einstein condensate. To this end we perform Monte Carlo simulations on a model system describing trapped Bose--Einstein condensates. Throughout the paper, we draw on analogies with results for vortex matter obtained for extended systems. This work suggests that finiteness and intrinsic inhomogeneity of the system not withstanding, one nonetheless can approximately invoke the notion of distinct aggregate states of vortex matter realized at certain length scales. This might be helpful, in particular in search of possible new states of vortex matter in Bose--Einstein condensates with multiple components and different symmetries.
arXiv comment15 pages, 13 figures. Submitted to Physical Review A. High resolution pictures will be available in published version
References in corpus (42)
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- Observation of resonance condensation of fermionic atom pairs
- The Flux-Line Lattice in Superconductors
- Ground-State Properties of Magnetically Trapped Bose-Condensed Rubidium Gas
- Evidence for a critical velocity in a Bose-Einstein condensed gas
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Critical behavior of the three-dimensional XY universality class
- A superconductor to superfluid phase transition in liquid metallic hydrogen
- Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
- Observation of Vortex Pinning in Bose-Einstein Condensates
- Observation of Tkachenko Oscillations in Rapidly Rotating Bose-Einstein Condensates
- Pairing without Superfluidity: The Ground State of an Imbalanced Fermi Mixture
- Formation and Decay of Vortex Lattices in Bose-Einstein Condensates at Finite Temperatures
- Quasi-one-dimensional polarized Fermi superfluids
- 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
- Structural phase transitions of vortex matter in an optical lattice
- Rapidly rotating Bose-Einstein condensates in anharmonic potentials
- 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
- Onsager Loop-Transition and First Order Flux-Line Lattice Melting in High- Superconductors
- Phases of a rotating Bose-Einstein condensate with anharmonic confinement
- Critical Behavior of the Meissner Transition in the Lattice London Superconductor
- Phase-coherence and the boson-analogy of vortex liquids
- Vortex-Loop Unbinding and Flux-Line Lattice Melting in Superconductors
- Superfluid Expansion of a Strongly Interacting Fermi Gas
- Bragg Spectroscopy of Vortex Lattices in Bose-Einstein condensates
- Low-Magnetic Field Critical Behavior in Strongly Type-II Superconductors
- Vortices in Bose-Einstein condensates with anharmonic confinement
- Hysteresis and persistent currents in a rotating Bose-Einstein condensate with anharmonic confinement
- Experimental observation of the 'Tilting Mode' of an array of vortices in a dilute Bose-Einstein Condensate
- Hausdorff dimension of critical fluctuations in abelian gauge theories
- A new broken U(1)-symmetry in extreme type-II superconductors
- Vortex lattice stability and phase coherence in three-dimensional rapidly rotating Bose condensates
- Vortex-lattice melting in a one-dimensional optical lattice
- Thermal Fluctuations of Vortex Matter in Trapped Bose-Einstein Condensates
- Theory of vortex-lattice melting in a one-dimensional optical lattice
- Nature of the Low Field Transition in the Mixed State of High Temperature Superconductors
- Helicity Modulus and Fluctuating Type II Superconductors: Elastic Approximation and Numerical Simulations
Cited by in corpus (6)
- Unusual states of vortex matter in mixtures of Bose--Einstein Condensates on rotating optical lattices
- Hidden vortex lattices in a thermally paired superfluid
- Melting of a two-dimensional monodisperse cluster crystal to a cluster liquid
- Fluctuation effects in rotating Bose-Einstein condensates with broken and symmetries in the presence of intercomponent density-density interactions
- Probing phase-separation in Bose-Fermi mixtures by the critical superfluid velocity
- Thermal fluctuations and vortex lattice structures in chiral -wave superconductors: robustness of double-quanta vortices