Quantum Control of Many-body Localized States

TL;DR

This paper introduces a quantum control method for many-body localized systems, enabling local state preparation and interaction control by exploiting localization properties, with analysis of fidelity under environmental coupling.

Contribution

It presents a novel protocol using quantum phase estimation for local eigenstate preparation in many-body localized systems, enhancing quantum control capabilities.

Findings

Protocol achieves local eigenstate preparation with high fidelity

Localization properties suppress thermalization and dephasing

Fidelity estimates under weak environmental coupling

Abstract

We propose and analyze a new approach to the coherent control and manipulation of quantum degrees of freedom in disordered, interacting systems in the many-body localized phase. Our approach leverages a number of unique features of many-body localization: a lack of thermalization, a locally gapped spectrum, and slow dephasing. Using the technique of quantum phase estimation, we demonstrate a protocol that enables the local preparation of a many-body system into an effective eigenstate. This leads to the ability to encode information and control interactions without full microscopic knowledge of the underlying Hamiltonian. Finally, we analyze the effects of weak coupling to an external bath and provide an estimate for the fidelity of our protocol.