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

Zhao, Liu; Hongli, Guo; Heng, Fan; Vedral, Vlatko

doi:10.1103/PHYSREVA.83.013620

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

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Abstract

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.

Authors:

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

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

Publication Date:: Sat Jan 15 00:00:00 EST 2011

OSTI Identifier:: 21537031

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 83; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.83.013620; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 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

Citation Formats


                    Zhao, Liu, Hongli, Guo, Heng, Fan, Vedral, Vlatko, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, and Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542. Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVA.83.013620.

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                    Zhao, Liu, Hongli, Guo, Heng, Fan, Vedral, Vlatko, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, & Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542. Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate.  United States.  https://doi.org/10.1103/PHYSREVA.83.013620

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                    Zhao, Liu, Hongli, Guo, Heng, Fan, Vedral, Vlatko, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, and Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542. 2011.  
        "Entanglement spectrum: Identification of the transition from vortex-liquid to vortex-lattice state in a weakly interacting rotating Bose-Einstein condensate".  United States.  https://doi.org/10.1103/PHYSREVA.83.013620.

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@article{osti_21537031,

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

  author       = {Zhao, Liu and Hongli, Guo and Heng, Fan and Vedral, Vlatko and Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 and Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVA.83.013620},

  url          = {https://www.osti.gov/biblio/21537031},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 1,

  volume       = 83,

  place        = {United States},

  year         = {Sat Jan 15 00:00:00 EST 2011},

  month        = {Sat Jan 15 00:00:00 EST 2011}

}

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