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Physics Seminar

Many-Body Quantum Chaos, Spectral Form Factor, and Ginibre Ensemble

Speaker: Amos Chan (Lancaster University)
Date: Wednesday 16 November 2022
Time: 15:00
Venue: Queens Building N3.28

The study of spectral statistics is of importance in theoretical physics due to its universality and utility as a robust diagnosis of quantum chaos. In this talk, I will firstly present an exact universal scaling form of the spectral form factor for a many-body quantum chaotic (MBQC) system, deriving the 'bump-ramp-plateau' behaviour. Secondly, I will provide evidence that the non-Hermitian Ginibre ensemble behaviours emerge in MBQC systems with large system sizes, just as Hermitian Gaussian ensemble behaviours emerge in MBQC systems in late time. (Based on arXiv:2207.12390)