Entanglement Entropies of Equilibrated Pure States in Quantum Many-Body Systems and Gravity
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A universal approximation for the Renyi entropies of equilibrated pure states is presented, helping to understand how the process of thermalization is consistent with unitarity in quantum chaotic systems and models of evaporating black holes.
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Late-time self-averaging in many-body dynamics justifies the Euclidean computation of Rényi entropies leading to a universal approximation.
“The late-time self-averaging in many-body dynamics which justifies the Euclidean computation of Rènyi entropies leading to an universal approxi-mation has been discussed in [224].”
From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [224]
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“For instance, this question arises in the context of Hawking’s information loss paradox [1, 2], in trying to understand whether the evolution of a black hole formed from the gravitational collapse of a pure state is unitary.”
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“rovide a good approximation for the entanglement entropies of a typical pure state. This observation has yielded many important results, such as the prediction of the Page curve for black evaporation [8]. Similarly, a Haar average over pure states has been used to predict when information in a black hole can be transf…”
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“Z(A) n;Q we neglected. We also extracted the universal behavior of the entanglement entropies for various classes of equilibrated pure states. Applied to two recently discussed models of black holes [16,17], the equilibrium approximation leads to a derivation of the prescriptions proposed in these papers for including…”
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- Authors
- Liu, H., & Vardhan, S.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- PRX Quantum
- Publisher
- American Physical Society (APS)
- Published
- 2021-03-17
- Volume
- 2
- Issue
- 1
- ISSN
- 2691-3399 (ISSN-L)
- OpenAlex
- W3047137139
- Cited by
- 77
- References
- 34
- Citations by year
- 2025: 12 · 2024: 8 · 2023: 10 · 2022: 18 · 2021: 27 · 2020: 2
- FWCI
- 6.87
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- PRX Quantum (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) (submittedVersion)
- arXiv (Cornell University)
- Funders
- U.S. Department of Energy (DE-SC0012567)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Statistical Mechanics and Entropy
- Keywords
- entanglement entropy, Rényi entropy, thermalization, unitarity, quantum chaos, black hole evaporation, holographic entanglement entropy, quantum many-body systems
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