Published October 15, 2018
| Published + Submitted
Journal Article
Open
Spectral form factors and late time quantum chaos
- Creators
-
Liu, Junyu
Abstract
This is a collection of notes about spectral form factors of standard ensembles in random matrix theory, written for the practical usage of the current study of late time quantum chaos. More precisely, we consider the Gaussian unitary ensemble, the Gaussian orthogonal ensemble, the Gaussian symplectic ensemble, the Wishart-Laguerre unitary ensemble, the Wishart-Laguerre orthogonal ensemble, and the Wishart-Laguerre symplectic ensemble. These results and their physics applications cover a threefold classification of late time quantum chaos in terms of spectral form factors.
Additional Information
© 2018 Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3. Received 27 July 2018; published 31 October 2018. I deeply thank Beni Yoshida for his warm and supportive guidance and Jordan Cotler for nice communications. J. L. is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant No. PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), and by the Walter Burke Institute for theoretical physics.Attached Files
Published - PhysRevD.98.086026.pdf
Submitted - 1806.05316.pdf
Files
PhysRevD.98.086026.pdf
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Additional details
- Eprint ID
- 87279
- Resolver ID
- CaltechAUTHORS:20180620-153751182
- Institute for Quantum Information and Matter (IQIM)
- PHY-1125565
- NSF
- GBMF-2644
- Gordon and Betty Moore Foundation
- Walter Burke Institute for Theoretical Physics, Caltech
- SCOAP3
- Created
-
2018-06-20Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
- Other Numbering System Name
- CALT-TH
- Other Numbering System Identifier
- 2018-028