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Boundary-Locality and Perturbative Structure of Entanglement Spectra in Gapped Systems

Boundary-Locality and Perturbative Structure of Entanglement Spectra in Gapped Systems

The entanglement between two parts of a many-body system can be characterized in detail by the entanglement spectrum. Focusing on gapped phases of several one-dimensional systems, we show how this spectrum is dominated by contributions from the boundary between the parts. This contradicts the view of an ``entanglement Hamiltonian'' as …