Vortex liquids and vortex quantum Hall states in trapped rotating Bose gases

Abstract

We discuss the feasibility of quantum Hall states of vortices in trapped low-density two-dimensional Bose gases with large particle interactions. For interaction strengths larger than a critical dimensionless 2D coupling constant $g_c\approx 0.6$, upon increasing the rotation frequency, the system is shown to spatially separate into vortex lattice and melted vortex lattice (vortex liquid) phases. At a first critical frequency, the lattice melts completely, and strongly correlated vortex and particle quantum Hall liquids coexist in inner respectively outer regions of the gas cloud. Finally, at a second critical frequency, the vortex liquid disappears and the strongly correlated particle quantum Hall state fills the whole sample.

arXiv comment11 pages, 3 figures; to appear in J. Phys. B

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Cited by in corpus (9)

• Hall effects in Bose-Einstein condensates in a rotating optical lattice
• Exact Groundstates of Rotating Bose Gases close to a Feshbach Resonance
• Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice
• Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices
• Vortex-lattice melting in a one-dimensional optical lattice
• Stirring trapped atoms into fractional quantum Hall puddles
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Dynamical role of anyonic excitation statistics in rapidly rotating Bose gases
• Quantum vortex dynamics in two-dimensional neutral superfluids