Typicality approach to perturbed quantum many-body relaxation

Abstract: We develop an analytical prediction for the relaxation of isolated many-body quantum systems subject to weak-to-moderate perturbations. Provided that the unperturbed behavior is known, we employ a typicality approach modeling the essential characteristics of the perturbation operator to describe the time evolution of expectation values in the perturbed system. In particular, the prediction identifies two decisive parameters of the perturbation: its overall strength and its energy range or band width. The theory provides a unified framework for such diverse phenomena as prethermalization, quantum quenches, or the relaxation of system-bath compounds. We demonstrate its wide applicability by comparison with various experimental and numerical examples.

condensed matterchaotic dynamicsexactly solvable and integrable systemsquantum physics

Audience: researchers in the topic

Quantum Chaos 2020 Seminars

Series comments: A series of online talks about topics related to Quantum Chaos in its various forms, including (but not limiting to): Manifestations of chaos in quantum systems, quantum information scrambling, ergodicity and thermalization in closed many-body quantum systems, and quantum simulations of complex quantum dynamics .

Talks given by senior researchers as well as students and postdocs.