Spectral correlations have long served as central diagnostics of chaos, with Wigner--Dyson statistics indicating chaos in the underlying classical dynamics of isolated, Hamiltonian systems, and Ginibre statistics often associated with chaotic behavior in open, dissipative classical systems. In this talk, I revisit this paradigm and show that the correspondence between dissipative chaos and Ginibre universality in quantum systems is more subtle than previously believed. By combining spectral properties and dynamical probes of open quantum systems with insights from classical phase-space structures and random-matrix modeling, I demonstrate that Ginibre spectral statistics primarily signal transient chaotic dynamics, and do not necessarily imply chaos in the steady state. To restore a meaningful quantum--classical correspondence, I adopt a dynamical perspective based on scrambling diagnostics, including the von Neumann entropy and out-of-time-ordered correlators, which clearly distinguish between short-time chaos and genuinely steady-state chaotic behavior. Time permitting, I also discuss the emergence of spectral correlations beyond Ginibre predictions and show how environmental dephasing, often viewed as detrimental, can instead suppress dynamical fluctuations and restore self-averaging in many-body quantum systems.
Transmisión en vivo vía bit.ly/YouTube_ICF
Participante: Dra. Lea Ferreira dos Santos
Institución: University of Connecticut, USA
Fecha y hora: Este evento terminó el Miércoles, 04 de Febrero de 2026