Cooperative Ring Exchange and Quantum Melting of Vortex Lattices in Atomic Bose-Einstein Condensates
arXiv:cond-mat/0207484 · doi:10.1103/PhysRevA.69.023603
Abstract
Cooperative ring-exchange is suggested as a mechanism of quantum melting of vortex lattices in a rapidly-rotating quasi two dimensional atomic Bose-Einstein condensate (BEC). Using an approach pioneered by Kivelson et al. [Phys. Rev. Lett. {\bf 56}, 873 (1986)] for the fractional quantized Hall effect, we calculate the condition for quantum melting instability by considering large-correlated ring exchanges in a two-dimensional Wigner crystal of vortices in a strong `pseudomagnetic field' generated by the background superfluid Bose particles. BEC may be profitably used to address issues of quantum melting of a pristine Wigner solid devoid of complications of real solids.
7 pages, 1 figure, to appear in Physical Review A
References in corpus (1)
Cited by in corpus (7)
- Vortices in multicomponent Bose-Einstein condensates
- Adiabatic Path to Fractional Quantum Hall States of a Few Bosonic Atoms
- Two-dimensional Bose gas under extreme rotation
- Disorder Induced Vortex Lattice Melting in Bose-Einstein Condensate
- Dislocation-Mediated Melting in Superfluid Vortex Lattices
- Fluctuations and correlations in rotating Bose-Einstein condensates
- Non-commutative effective field theory of the lowest Landau level superfluid