Entanglement correction due to local interactions in many-body systems

• URL: http://arxiv.org/abs/2007.15908v1
• Date: Fri, 31 Jul 2020 08:59:39 GMT
• Title: Entanglement correction due to local interactions in many-body systems
• Abstract summary: correction to the area law for the bipartite min-entanglement entropy of weakly and locally interacting fermions is calculated. Explicit calculations show that the leading correction to the entanglement entropy of non-interacting fermions up to $U2$ in the interaction strength does not change the scaling.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The correction to the area law for the bipartite min-entanglement entropy of weakly and locally interacting fermions is calculated based on a perturbative extension of the flow equation holography method. Explicit calculations for the one- and two-dimensional case (and similarly for higher dimensions) show that the leading correction to the entanglement entropy of non-interacting fermions up to $U^2$ in the interaction strength does not change the scaling, but only affects the pre-factor of the leading logarithmic term multiplying it by the quasiparticle residue. A term sub-leading to the area law is also present. It is proportional to $U^2$ in the interaction strength and scales linearly with the system size.

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