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Journal Article

Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles

MPS-Authors
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Haque,  Masudul
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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McClarty,  Paul A.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Khaymovich,  Ivan M.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2008.12782.pdf
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Citation

Haque, M., McClarty, P. A., & Khaymovich, I. M. (2022). Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles. Physical Review E, 105(1): 014109. doi:10.1103/PhysRevE.105.014109.


Cite as: https://hdl.handle.net/21.11116/0000-000A-78F7-9
Abstract
Eigenstates of local many-body interacting systems that are far from spectral edges are thought to be ergodic and close to being random states. This is consistent with the eigenstate thermalization hypothesis and volume-law scaling of entanglement. We point out that systematic departures from complete randomness are generically present in midspectrum eigenstates, and focus on the departure of the entanglement entropy from the randomstate prediction. We show that the departure is (partly) due to spatial correlations and due to orthogonality to the eigenstates at the spectral edge, which imposes structure on the midspectrum eigenstates.