Localization detection based on quantum dynamics
- URL: http://arxiv.org/abs/2206.09165v3
- Date: Fri, 28 Oct 2022 08:53:12 GMT
- Title: Localization detection based on quantum dynamics
- Authors: Kazue Kudo
- Abstract summary: 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 change from the thermal phase to the localized phase.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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.
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