Spectral form factors and late time quantum chaos

Liu, Junyu (2018) Spectral form factors and late time quantum chaos. Physical Review D, 98 (8). Art. No. 086026. ISSN 2470-0010. doi:10.1103/PhysRevD.98.086026. https://resolver.caltech.edu/CaltechAUTHORS:20180620-153751182

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1103/PhysRevD.98.086026	DOI	Article
https://arxiv.org/abs/1806.05316	arXiv	Discussion Paper

ORCID:

Author	ORCID
Liu, Junyu	0000-0003-1669-8039

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.

Group:

Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	PHY-1125565
Gordon and Betty Moore Foundation	GBMF-2644
Walter Burke Institute for Theoretical Physics, Caltech	UNSPECIFIED
SCOAP3	UNSPECIFIED

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2018-028

Issue or Number:

DOI:

10.1103/PhysRevD.98.086026

Record Number:

CaltechAUTHORS:20180620-153751182

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20180620-153751182

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

87279

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

20 Jun 2018 22:44

Last Modified:

15 Nov 2021 20:46

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