Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates

• URL: http://arxiv.org/abs/2009.02949v2
• Date: Tue, 23 Mar 2021 15:18:03 GMT
• Title: Intercomponent entanglement entropy and spectrum in binary Bose-Einstein condensates
• Authors: Takumi Yoshino, Shunsuke Furukawa, Masahito Ueda
• Abstract summary: 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.
• Score: 4.511923587827301
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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