Suppression of heating in quantum spin clusters under periodic driving as a dynamic localization effect

Abstract

We investigate numerically and analytically the heating process in ergodic clusters of interacting spins 1/2 subjected to periodic pulses of external magnetic field. Our findings indicate that there is a threshold for the pulse strength below which the heating is suppressed. This threshold decreases with the increase of the cluster size, approaching zero in the thermodynamic limit; yet it should be observable in clusters with fairly large Hilbert spaces. We obtain the above threshold quantitatively as a condition for the breakdown of the golden rule in the second-order perturbation theory. It is caused by the phenomenon of dynamic localization.

Final version; Main article: 5 pages, 4 figures; Supplement: 3 pages, 2 figures

References in corpus (8)

• Topological characterization of periodically-driven quantum systems
• The Magnus expansion and some of its applications
• Periodically driven ergodic and many-body localized quantum systems
• Absence of dynamical localization in interacting driven systems
• Prethermal time crystals in a one-dimensional periodically driven Floquet system
• Effects of interactions on periodically driven dynamically localized systems
• Absence of Thermalization in Finite Isolated Interacting Floquet Systems
• Dynamical localization and the effects of aperiodicity in Floquet systems

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• Integrable quantum many-body sensors for AC field sensing
• Prethermal quasiconserved observables in Floquet quantum systems
• Dynamic spin localization and gamma-magnets
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Almost complete revivals in quantum many-body systems
• Cooling classical many-spin systems using feedback control
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• Reciprocal Floquet thermalization in one-dimensional Rydberg atom array
• openMMF: a library for multimode driven quantum systems