• DOI:10.1103/PHYSREVA.103.043321
• Corpus ID: 221516859

Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates

@article{Yoshino2020IntercomponentEE,
  title={Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates},
  author={Takumi Yoshino and Shunsuke Furukawa and Masahito Ueda},
  journal={arXiv: Quantum Gases},
  year={2020}
}

• Takumi Yoshino, S. Furukawa, Masahito Ueda
• Published 7 September 2020
• Physics
• arXiv: Quantum Gases

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.