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

2010/07/31 by Zhao Liu, Hong-Li Guo, Vlatko Vedral +1 · 19 citations
Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Geometry #Ground state #Lattice (music) #Mechanics #Phase transition #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Squashed entanglement #Torus #Vortex #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.83.013620

published in Physical Review A 83(1) (American Physical Society) · published version

openalex publication_date 2011/01/24 · arxiv created 2011/01/25 · arxiv updated 2011/01/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

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