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• W1680380992 abstract "Many body quantum eigenstates of generic Hamiltonians at finite energy density typically satisfy volume law of entanglement entropy: the von Neumann entanglement entropy and the Renyi entropies for a subregion scale in proportion to its volume. Here we provide a connection between the volume law and the sign structure of eigenstates. In particular, we ask the question: can a positive wavefunction support a volume law entanglement? Remarkably, we find that a typical random positive wavefunction, exhibits a constant law for Renyi entanglement entropies $S_n$ for $n>1$, despite arbitrary large amplitude fluctuations. We also provide evidence that the modulus of the finite energy density eigenstates of generic local Hamiltonians show similar behavior." @default.
• W1680380992 created "2016-06-24" @default.
• W1680380992 creator A5016268794 @default.
• W1680380992 creator A5065082149 @default.
• W1680380992 date "2015-10-08" @default.
• W1680380992 modified "2023-10-15" @default.
• W1680380992 title "Entanglement and the sign structure of quantum states" @default.
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• W1680380992 doi "https://doi.org/10.1103/physreva.92.042308" @default.
• W1680380992 hasPublicationYear "2015" @default.
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