Dynamical many-body localization in an integrable model

TL;DR

This paper studies a solvable model of periodically-kicked interacting linear rotors, revealing conditions for dynamical localization and delocalization, and introduces an experimental setup using Josephson junctions to realize the model.

Contribution

It presents an analytically tractable integrable model exhibiting both localization and delocalization, and identifies additional integrals of motion specific to dynamical many-body localization.

Findings

Energy boundedness does not imply localization.

The model has extra integrals of motion beyond integrability.

Proposes an experimental realization with Josephson junctions.

Abstract

We investigate dynamical many-body localization and delocalization in an integrable system of periodically-kicked, interacting linear rotors. The Hamiltonian we investigate is linear in momentum, and its Floquet evolution operator is analytically tractable for arbitrary interaction strengths. One of the hallmarks of this model is that depending on certain parameters, it manifest both localization and delocalization in momentum space. We explicitly show that for this model, the energy being bounded at long times is not a sufficient condition for dynamical localization. Besides integrals of motion associated to the integrability, this model manifests additional integrals of motion, which are the exclusive consequence of dynamical many-body localization. We also propose an experimental scheme, involving voltage-biased Josephson junctions, to realize such many-body kicked models.