# Driving induced many-body localization

**Authors:** Eyal Bairey, Gil Refael, Netanel H. Lindner

arXiv: 1702.06208 · 2017-07-24

## TL;DR

This paper demonstrates that a specific time-periodic drive can induce many-body localization in a system that is ergodic without driving, by suppressing effective tunneling and enhancing disorder effects.

## Contribution

The study reveals a novel method to induce many-body localization through coherent suppression of tunneling using a periodic drive, contrary to typical delocalization effects.

## Key findings

- A periodic linear potential can induce many-body localization in an ergodic system.
- A transition to the localized phase occurs above a critical drive frequency.
- Driving can be used to engineer long-lived Floquet phases.

## Abstract

Subjecting a many-body localized system to a time-periodic drive generically leads to delocalization and a transition to ergodic behavior if the drive is sufficiently strong or of sufficiently low frequency. Here we show that a specific drive can have an opposite effect, taking a static delocalized system into the many-body localized phase. We demonstrate this effect using a one-dimensional system of interacting hardcore bosons subject to an oscillating linear potential. The system is weakly disordered, and is ergodic absent the driving. The time-periodic linear potential leads to a suppression of the effective static hopping amplitude, increasing the relative strengths of disorder and interactions. Using numerical simulations, we find a transition into the many-body localized phase above a critical driving frequency and in a range of driving amplitudes. Our findings highlight the potential of driving schemes exploiting the coherent suppression of tunneling for engineering long-lived Floquet phases.

## Full text

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## Figures

9 figures with captions in the complete paper: https://tomesphere.com/paper/1702.06208/full.md

## References

66 references — full list in the complete paper: https://tomesphere.com/paper/1702.06208/full.md

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Source: https://tomesphere.com/paper/1702.06208