Matrix Models for Eigenstate Thermalization Article Swipe
Daniel L. Jafferis
,
David K. Kolchmeyer
,
Baur Mukhametzhanov
,
Julian Sonner
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1103/physrevx.13.031033
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.1103/physrevx.13.031033
We develop a class of matrix models that implement and formalize the eigenstate thermalization hypothesis (ETH) and point out that, in general, these models must contain non-Gaussian corrections in order to correctly capture thermal mean-field theory or to capture nontrivial out-of-time-order correlation functions (OTOCs) as well as their higher-order generalizations. We develop the framework of these ETH matrix models and put it in the context of recent studies in statistical physics incorporating higher statistical moments into the ETH ansatz. We then use the ETH matrix model in order to develop a matrix-integral description of Jackiw-Teitelboim (JT) gravity coupled to a single scalar field in the bulk. This particular example takes the form of a double-scaled ETH matrix model with non-Gaussian couplings matching disk correlators and the density of states of the gravitational theory. Having defined the model from the disk data, we present evidence that the model correctly captures the JT þ matter theory with multiple boundaries and, conjecturally, at higher genus. This is a shorter companion paper to the work [D. L. Jafferis et al., companion paper, Jackiw-Teitelboim gravity with matter, generalized eigenstate thermalization hypothesis, and random matrices, Phys. Rev. D 108, 066015 (2023).], serving as a guide to the much more extensive material presented there, as well as developing its underpinning in statistical physics.
Related Topics
Concepts
Quantum
Extant taxon
Thermalisation
Disjoint sets
Chaotic
Quantum chaos
Statistical physics
Matrix (chemical analysis)
Eigenvalues and eigenvectors
Physics
Theoretical physics
Quantum mechanics
Classical mechanics
Quantum dynamics
Computer science
Mathematics
Discrete mathematics
Materials science
Artificial intelligence
Composite material
Biology
Evolutionary biology
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevx.13.031033
- http://link.aps.org/pdf/10.1103/PhysRevX.13.031033
- OA Status
- gold
- Cited By
- 25
- References
- 51
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4386882828
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4386882828Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1103/physrevx.13.031033Digital Object Identifier
- Title
-
Matrix Models for Eigenstate ThermalizationWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2023Year of publication
- Publication date
-
2023-09-20Full publication date if available
- Authors
-
Daniel L. Jafferis, David K. Kolchmeyer, Baur Mukhametzhanov, Julian SonnerList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevx.13.031033Publisher landing page
- PDF URL
-
https://link.aps.org/pdf/10.1103/PhysRevX.13.031033Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://link.aps.org/pdf/10.1103/PhysRevX.13.031033Direct OA link when available
- Concepts
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Quantum, Extant taxon, Thermalisation, Disjoint sets, Chaotic, Quantum chaos, Statistical physics, Matrix (chemical analysis), Eigenvalues and eigenvectors, Physics, Theoretical physics, Quantum mechanics, Classical mechanics, Quantum dynamics, Computer science, Mathematics, Discrete mathematics, Materials science, Artificial intelligence, Composite material, Biology, Evolutionary biologyTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
25Total citation count in OpenAlex
- Citations by year (recent)
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2025: 8, 2024: 9, 2023: 7, 2022: 1Per-year citation counts (last 5 years)
- References (count)
-
51Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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