BEGIN:VCALENDAR VERSION:2.0 PRODID:-//linuxsoftware.nz//NONSGML Joyous v1.4//EN BEGIN:VEVENT SUMMARY:Random matrix theory of open quantum systems DTSTART:20230322T143000Z DTEND:20230322T160000Z DTSTAMP:20260630T062952Z UID:5c07a78b-fdb4-4723-b979-dc431678040e SEQUENCE:1 CREATED:20230316T160509Z DESCRIPTION: Describing interacting quantum systems in the presence of dis sipation is a daunting task. One very fruitful approach to this problem\, developed for unitary dynamics\, is to represent the Hamiltonian of a gene ric system by a large random matrix. This approach eventually led to the d evelopment of the field of quantum chaos. Here\, I will give an overview o f the recent application of (non-Hermitian) random matrix theory to open q uantum systems\, where dissipation and decoherence coexist with unitary dy namics. I will discuss the spectral features\, relaxation timescales\, and steady states of three representative examples of increasing physical rel evance: fully random Lindbladians and quantum maps\, random open free ferm ions\, and dissipative stronglyinteracting SYK models. Then\, I will argue that complex spacing ratios are a powerful signature of dissipative quant um chaos\, illustrating it with the case of boundary-driven spin-chain Lin dbladians. LAST-MODIFIED:20230316T160509Z LOCATION:Sala de Seminários do DF\, Pavilhão de Física\, 2º piso URL:http://df.vps.tecnico.ulisboa.pt/pt/eventos/random-matrix-theory-of-op en-quantum-systems/ X-ALT-DESC;FMTTYPE=text/html:

Describing interac ting quantum systems in the presence of dissipation is a daunting task. On e very fruitful approach to this problem\, developed for unitary dynamics\ , is to represent the Hamiltonian of a generic system by a large random ma trix. This approach eventually led to the development of the field of quan tum chaos.

Here\, I will give an overview of the recent applicat ion of (non-Hermitian) random matrix theory to open quantum systems\, wher e dissipation and decoherence coexist with unitary dynamics. I will discus s the spectral features\, relaxation timescales\, and steady states of thr ee representative examples of increasing physical relevance: fully random Lindbladians and quantum maps\, random open free fermions\, and dissipativ e stronglyinteracting SYK models.

Then\, I will argue that compl ex spacing ratios are a powerful signature of dissipative quantum chaos\, illustrating it with the case of boundary-driven spin-chain Lindbladians.

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