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• W2044916095 abstract "We demonstrate that the entanglement entropy area law for free fermion ground states and the corresponding volume law for highly excited states are related by a position-momentum duality, and thus are of the same origin. For a typical excited state in the thermodynamic limit, we further show that the reduced density matrix of a subsystem approaches the thermal density matrix, provided the subsystem's linear size is small compared to that of the whole system in all directions, a property we dub eigenstate typicality. This provides an explicit example of thermalization via entanglement, and reveals how statistical physics emerges from a single eigenstate by tracing out a large number of degrees of freedom." @default.
• W2044916095 created "2016-06-24" @default.
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• W2044916095 date "2015-02-23" @default.
• W2044916095 modified "2023-10-16" @default.
• W2044916095 title "Entanglement entropy scaling laws and eigenstate typicality in free fermion systems" @default.
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• W2044916095 doi "https://doi.org/10.1103/physrevb.91.081110" @default.
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