Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates

Abstract

We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root dispersion relation in the presence of an intercomponent tunneling (a Rabi coupling) and a gapped dispersion relation in its absence. These spectral features are associated with the emergence of long-range interactions in terms of the superfluid velocity and the particle density in the entanglement Hamiltonian. Our results demonstrate that unusual long-range interactions can be emulated in a subsystem of multicomponent BECs that have only short-range interactions. We also find that for a finite Rabi coupling the entanglement entropy exhibits a volume-law scaling with subleading logarithmic corrections originating from the Nambu-Goldstone mode and the symmetry restoration for a finite volume.

15 pages

References in corpus (18)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Bosonizing one-dimensional cold atomic gases
• Extension of Bogoliubov theory to quasi-condensates
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Ground state entanglement and geometric entropy in the Kitaev's model
• Rise and fall of hidden string order of lattice bosons
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Edge state inner products and real-space entanglement spectrum of trial quantum Hall states
• Entanglement Entropy of the Two-Dimensional Heisenberg Antiferromagnet
• Entanglement between Two Interacting CFTs and Generalized Holographic Entanglement Entropy
• Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Entanglement Thermodynamics
• Universal logarithmic corrections to entanglement entropies in two dimensions with spontaneously broken continuous symmetries
• Entanglement Spectra of the quantum hard-square model: Holographic minimal models
• Entanglement Spectra of Heisenberg Ladders of higher Spin
• Entanglement Entropy of Generalized Moore-Read Fractional Quantum Hall State Interfaces
• Dephasing-rephasing dynamics of one-dimensional tunneling quasicondensates

Cited by in corpus (5)

• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system
• Finite temperature ferromagnetic transition in coherently coupled Bose gases
• Entanglement of electrons and the lattice in a Luttinger system
• Worldline deconfinement and emergent long-range interaction in the entanglement Hamiltonian and in the entanglement spectrum
• Vortex lattices in binary Bose-Einstein condensates: Collective modes, quantum fluctuations, and intercomponent entanglement