On the relation between entanglement and subsystem Hamiltonians

Abstract

We show that a proportionality between the entanglement Hamiltonian and the Hamiltonian of a subsystem exists near the limit of maximal entanglement under certain conditions. Away from that limit, solvable models show that the coupling range differs in both quantities and allow to investigate the effect.

7 pages, 2 figures version2: minor changes, typos corrected

References in corpus (4)

• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Entanglement spectrum and boundary theories with projected entangled-pair states
• Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1
• Fluctuations in subsystems of the zero temperature XX chain: Emergence of an effective temperature

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