Kavli Affiliate: Debanjan Chowdhury
| First 5 Authors: Rohit Mukherjee, Haoyu Guo, Keiran Lewellen, Debanjan Chowdhury,
| Summary:
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.
| Search Query: ArXiv Query: search_query=au:”Debanjan Chowdhury”&id_list=&start=0&max_results=3