Arresting Quantum Chaos Dynamically in Transmon Arrays
Abstract
Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting bosons -- a Josephson junction array in the transmon regime -- in the presence of a strong Floquet drive. Generically, such a time-dependent drive is expected to heat the system to an effectively infinite temperature, featureless state in the late-time limit. However, using numerical exact-diagonalization we find evidence of special ratios of the drive amplitude and frequency where the system develops {\it emergent} conservation laws, and {\it approximate} integrability. Remarkably, at these same set of points, the Lyapunov exponent associated with the semi-classical dynamics for the coupled many-body equations of motion drops by orders of magnitude, arresting the growth of chaos. We supplement our numerical results with an analytical Floquet-Magnus expansion that includes higher-order corrections, and capture the slow dynamics that controls decay away from exact freezing.
Cite
@article{arxiv.2405.14935,
title = {Arresting Quantum Chaos Dynamically in Transmon Arrays},
author = {Rohit Mukherjee and Haoyu Guo and Keiran Lewellen and Debanjan Chowdhury},
journal= {arXiv preprint arXiv:2405.14935},
year = {2025}
}
Comments
(v1) 14 pages, 14 figures; (v2) changed TeX template, 35 pages, 15 figures;