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DY: Fachverband Dynamik und Statistische Physik

DY 47: Quantum Chaos and Coherent Dynamics (joint session DY/TT)

DY 47.10: Talk

Thursday, March 21, 2024, 17:30–17:45, A 151

Unveiling out of time correlators in stochastic operator variance — Pablo Martinez-Azcona, •Aritra Kundu, Adolfo del Campo, and Aurélia Chenu — Univeresity of Luxembourg

This study introduces the stochastic operator variance (SOV) as a tool for investigating quantum systems influenced by noise. We present a protocol that utilizes noise to probe out-of-time-order correlators and extract the Lyapunov exponent in a noisy quantum chaotic system. We demonstrate SOV in both quantum and classical realms by introducing a stochastic version of the Lipkin-Meshkov-Glick (LMG) model. We further examine analytical and numerical demonstrations of a stochastic LMG Hamiltonian undergoing energy dephasing. In the classical limit, we provide analytical results for the Lyapunov exponents. This research contributes to understanding the interplay between noise and quantum dynamics for benchmarking near-term noisy quantum devices.

Keywords: Open quantum system; Lyupunov exponent; chaos; stochastic variance