Response of a quantum disordered spin system to a local periodic drive

Özgüler, A. Barış; Xu, Canran; Vavilov, Maxim G.

doi:10.1103/physrevb.101.024204

Title: Response of a quantum disordered spin system to a local periodic drive

Journal Article · Thu Jan 30 00:00:00 EST 2020 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.101.024204· OSTI ID:1803840

^[1]; Xu, Canran ^[1];

^[1]

Univ. of Wisconsin, Madison, WI (United States)

We consider a one-dimensional spin chain system with quenched disorder and in the presence of a local periodic drive. We study the time evolution of the system in the Floquet basis and evaluate the fidelity susceptibility, which is a measure of how a given state changes under a small perturbation, of states to a weak periodic drive. In this work, we demonstrate that the statistical properties of the fidelity susceptibility over different disorder realizations can be used to identify two phases of the system: (1) the many-body localized phase, in which the susceptibility exhibits long tails while its average value decreases rapidly as disorder increases, and (2) the ergodic phase, in which the susceptibility distribution is narrow and its average value weakly depends on disorder. This distinction in the average value of the susceptibility between the two phases develops readily for systems with ten or more spins. Therefore, recently built networks of qubits subject to a local drive can simulate dynamics of a system in the many-body localization regime. We also show that the spin accumulation speed is correlated with the fidelity susceptibility and can also be used to distinguish the two phases.

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Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: SC0019449; 1148698

OSTI ID:: 1803840

Journal Information:: Physical Review B, Vol. 101, Issue 2; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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