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

2019/10/31 by A. Barış Özgüler, Canran Xu, Maxim Vavilov +1 · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Ergodic theory #Floquet theory #Magnetic susceptibility #Mathematical analysis #Mathematics #Neural Networks and Reservoir Computing #Phase (matter) #Physics #Quantum #Quantum and electron transport phenomena #Quantum decoherence #Quantum many-body systems #Quantum mechanics #Qubit #Spin (aerodynamics) #Spins #Statistical physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevb.101.024204

published in Physical review. B./Physical review. B 101(2) (American Physical Society) · 11 pages, 7 figures. It will be published in Phys. Rev. B soon

arxiv created 2020/01/30 · openalex publication_date 2020/01/30 · arxiv updated 2020/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

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. 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.

Citations

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