Localization detection based on quantum dynamics

TL;DR

This paper proposes a quantum dynamics-based method for detecting many-body localization using measurements of magnetization and twist overlap, which can be efficiently obtained from quantum devices, offering a practical alternative to eigenstate calculations.

Contribution

It introduces a novel approach to detect MBL through quantum dynamics measurements, reducing reliance on complex eigenstate computations.

Findings

Magnetization and twist overlap indicate phase transition from thermal to localized.

Twist overlap from time-evolved wave functions correlates with eigenstate-based measures.

Method is promising for experimental detection of MBL in quantum computing.

Abstract

Detecting many-body localization (MBL) typically requires the calculation of high-energy eigenstates using numerical approaches. This study investigates methods that assume the use of a quantum device to detect disorder-induced localization. Numerical simulations for small systems demonstrate how the magnetization and twist overlap, which can be easily obtained from the measurement of qubits in a quantum device, change from the thermal phase to the localized phase. The twist overlap evaluated using the wave function at the end of the time evolution behaves similarly to the one evaluated with eigenstates in the middle of the energy spectrum under a specific condition. The twist overlap evaluated using the wave function after time evolution for many disorder realizations is a promising probe for detecting MBL in quantum computing approaches.