Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.013620· OSTI ID:21537031

Zhao, Liu; Hongli, Guo; Heng, Fan ^[1]; Vedral, Vlatko ^[2]

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1. Institute of Physics, Chinese Academy of Sciences, Beijing 100190 (China)
2. Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU (United Kingdom)

We use entanglement to investigate the transition from vortex-liquid phase to vortex-lattice phase in a weakly interacting rotating Bose-Einstein condensate. For the torus geometry, the ground-state entanglement spectrum is analyzed to distinguish these two phases. The low-lying part of the ground-state entanglement spectrum, as well as the behavior of its lowest level, changes clearly when the transition occurs. For the sphere geometry, the entanglement gap in the conformal limit is also studied. We also show that the decrease in entanglement between particles can be regarded as a signal of the transition.

• OSTI ID: 21537031
• Journal Information: Physical Review. A, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevA.83.013620; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
LIQUIDS
PARTICLES
QUANTUM ENTANGLEMENT
SIGNALS
SPECTRA
SPHERICAL CONFIGURATION
VORTICES
CONFIGURATION
FLUIDS