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QI: Fachverband Quanteninformation

QI 20: Concepts and Methods II

QI 20.7: Talk

Wednesday, March 8, 2023, 16:00–16:15, B302

On a Matrix Ensemble for Arbitrary Complex Quantum Systems — William Salazar and •Javier Madroñero — Centre for Bioinformatics and Photonics (CIBioFi), Universidad del Valle, Cali, Colombia

We propose a specific system dependent matrix ensemble as an alternative to the unitary Haar one as a model for the study of the late time dynamics of correlation functions in arbitrary complex quantum systems. We show that for arbitrary systems this ensemble yields an unitary 1-design and for strongly chaotic systems it becomes an approximated 2-design. We are able to provide universal expressions for two- and four-point ensemble-averaged correlation functions. Additionally, we show that for small energy windows our ensemble reduces to the eigenstate thermalization hypothesis.