Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates

Takumi Yoshino, Shunsuke Furukawa, Masahito Ueda

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1 Citation (Scopus)

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 intercomponent tunneling (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.

Original languageEnglish
Article number043321
JournalPhysical Review A
Volume103
Issue number4
DOIs
Publication statusPublished - 2021 Apr

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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