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

Abstract

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

published version

References in corpus (23)

• Many-Body Physics with Ultracold Gases
• Topological entanglement entropy
• Detecting topological order in a ground state wave function
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Conditions for a class of entanglement transformations
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Entanglement spectrum of topological insulators and superconductors
• Condensation of `composite bosons' in a rotating BEC
• Entanglement entropy in fermionic Laughlin states
• Entanglement entropy and entanglement spectrum of the Kitaev model
• Quantum Hall fractions in rotating Bose-Einstein condensates
• The entanglement gap and a new principle of adiabatic continuity
• Non-local order in gapless systems: Entanglement Spectrum in Spin Chains
• Entanglement spectra of quantum Heisenberg ladders
• Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries
• Quantum Hall physics in rotating Bose-Einstein condensates
• Vortex nucleation as a case study of symmetry breaking in quantum systems
• Entanglement signatures of quantum Hall phase transitions
• Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor $\nu =2$
• Quantum Information Approach to Rotating Bose-Einstein Condensate
• Spin chain description of rotating bosons at $\nu =1$
• Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at $\nu =1$
• Topological Entropy of Quantum Hall States in Rotating Bose Gases

Cited by in corpus (13)

• Quantum entanglement in condensed matter systems
• Trace Index and Spectral Flow in the Entanglement Spectrum
• Entanglement spectra of coupled S=1/2 spin chains in a ladder geometry
• Particle Entanglement Spectra for Quantum Hall states on Lattices
• Hierarchical structure in the orbital entanglement spectrum in Fractional Quantum Hall systems
• Edge Mode Combinations in the Entanglement Spectra of Non-Abelian Fractional Quantum Hall States on the Torus
• Entanglement Spectra of Heisenberg Ladders of higher Spin
• Entanglement Spectra and Entanglement Thermodynamics of Hofstadter Bilayers
• Quantum Fluctuations of Vortex Lattices in Ultracold Gases
• Vortex patterns in moderately rotating Bose-condensed gas
• A geometrical crossover in excited states of two-electron quantum dots in a magnetic field
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement
• Unveiling topological order through multipartite entanglement