Phase Crossover induced by Dynamical Many Body Localization in Periodically Driven Long-Range Spin Systems

TL;DR

This paper demonstrates that dynamical many-body localization (DMBL) can occur in the clean Lipkin-Meshkov-Glick model under periodic driving, leading to a phase crossover and potential for MBL engine applications without disorder.

Contribution

It reveals the occurrence of DMBL in a disorder-free long-range spin system and characterizes the phase crossover induced by changing drive parameters.

Findings

DMBL suppresses heating in the LMG model at freezing points.

Localization strength depends on drive frequency and system size.

Adiabatic parameter changes induce a phase crossover in Floquet states.

Abstract

Dynamical many-body freezing occurs in periodic transverse field-driven integrable quantum spin systems. Under freezing conditions, quantum dynamics causes practically infinite hysteresis in the drive response, maintaining its starting value. We find similar resonant freezing in the Lipkin-Meshkov-Glick (LMG) model. In the LMG, the freezing conditions in the driving field suppresses the heating postulated by the eigenstate thermalization hypothesis (ETH) by inducing dynamical many-body localization, or DMBL. This is in contrast to Many Body Localization (MBL), which requires disorder to suppress ETH. DMBL has been validated by the inverse participation ratio (IPR) of the quasistationary Floquet modes. Similarly to the TFIM, the LMG exhibits high-frequency localization only at freezing points. IPR localization in the LMG deteriorates with an inverse system size law at lower frequencies, which indicates heating to infinite temperature. Furthermore, adiabatically increasing frequency and amplitude from low values raises the Floquet state IPR in the LMG from nearly zero to unity, indicating a phase crossover. This occurrence enables a future technique to construct an MBL engine in clean systems that can be cycled by adjusting drive parameters only.