Stalled response near thermal equilibrium in periodically driven systems
arXiv:2401.04645 · doi:10.1038/s41467-023-44487-2
Abstract
The question of how systems respond to perturbations is ubiquitous in physics. Predicting this response for large classes of systems becomes particularly challenging if many degrees of freedom are involved and linear response theory cannot be applied. Here, we consider isolated many-body quantum systems which either start out far from equilibrium and then thermalize, or find themselves near thermal equilibrium from the outset. We show that time-periodic perturbations of moderate strength, in the sense that they do not heat up the system too quickly, give rise to the following phenomenon of stalled response: While the driving usually causes quite considerable reactions as long as the unperturbed system is far from equilibrium, the driving effects are strongly suppressed when the unperturbed system approaches thermal equilibrium. Likewise, for systems prepared near thermal equilibrium, the response to the driving is barely noticeable right from the beginning. Numerical results are complemented by a quantitatively accurate analytical description and by simple qualitative arguments.
12 pages, 3 figures + suppl. 14 pages, 10 figures
References in corpus (13)
- Many-Body Physics with Ultracold Gases
- Thermalization and its mechanism for generic isolated quantum systems
- The Magnus expansion and some of its applications
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Ultracold atoms out of equilibrium
- Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
- Off-diagonal matrix elements of local operators in many-body quantum systems
- Eigenstate thermalization and quantum chaos in the Holstein polaron model
- Typicality of Prethermalization
- Typical relaxation of perturbed quantum many-body systems
- Thermalization away from Integrability and the Role of Operator Off-Diagonal Elements
- Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure