Spectral form factors and late time quantum chaos

Journal Article · 30 October 2018 · Physical Review D

DOI: https://doi.org/10.1103/PhysRevD.98.086026 · OSTI ID:1599631

Liu, Junyu ^[1]

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1. California Institute of Technology (CalTech), Pasadena, CA (United States). Walter Burke Institute for Theoretical Physics; California Institute of Technology (CalTech), Pasadena, CA (United States). Institute for Quantum Information and Matter; Caltech

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.

• Research Organization: California Institute of Technology (CalTech), Pasadena, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: SC0011632
• OSTI ID: 1599631
• Journal Information: Physical Review D, Journal Name: Physical Review D Journal Issue: 8 Vol. 98; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical Society (APS)Copyright Statement
• Country of Publication: United States
• Language: English