Signatures of clean phases in many-body localized quantum circuits
- URL: http://arxiv.org/abs/2112.03925v2
- Date: Wed, 22 Dec 2021 01:00:09 GMT
- Title: Signatures of clean phases in many-body localized quantum circuits
- Authors: Kaixiang Su, Michael J. Lawler
- Abstract summary: Many-body phenomena far from equilibrium present challenges beyond reach by classical computational resources.
Digital quantum computers provide a possible way forward but noise limits their use in the near-term.
We propose a scheme to simulate and characterize many-body Floquetsystems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Many-body phenomena far from equilibrium present challenges beyond reach by
classical computational resources. Digital quantum computers provide a possible
way forward but noise limits their use in the near-term. We propose a scheme to
simulate and characterize many-body Floquetsystems hosting a rich variety of
phases that operates with a shallow depth circuit. Starting from a "clean"
periodic circuit that simulates the dynamical evolution of a Floquet system, we
introduce quasi-periodicity to the circuit parameters to prevent thermalization
by introducing many-body localization. By inspecting the time averaged
properties of the many-body integrals of motion, the phase structure can then
be probed using random measurements. This approach avoids the need to compute
the ground state and operates at finite energy density. We numerically
demonstrate this scheme with a simulation of the Floquet Ising model of
time-crystals and present results clearly distinguishing different Floquet
phases in the absence of quasi-periodicity in the circuit parameters. Our
results pave the way for mapping phase diagrams of exotic systems on near-term
quantum devices.
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