Tailoring Quantum Chaos With Continuous Quantum Measurements

TL;DR

This paper explores how continuous quantum measurements influence the manifestation of quantum chaos, demonstrating that monitoring can enhance chaos signatures and modify spectral form factors.

Contribution

It introduces a method to tailor quantum chaos signatures through continuous measurement parameters, revealing new control over quantum dynamical behavior.

Findings

Quantum monitoring extends the spectral form factor ramp.

Monitoring with high efficiency enhances quantum chaos.

Measurement parameters can be tuned to control chaos signatures.

Abstract

We investigate the role of quantum monitoring in the dynamical manifestations of Hamiltonian quantum chaos. Specifically, we analyze the generalized spectral form factor, defined as the survival probability of a coherent Gibbs state under continuous energy measurements. We show that quantum monitoring can tailor the signatures of quantum chaos in the dynamics, such as the extension of the ramp in the spectral form factor, by varying the measurement strength and detection efficiency. In particular, a typical quantum trajectory obtained by monitoring with unit efficiency exhibits enhanced quantum chaos relative to the average dynamics and to unitary evolution without measurements.