Tuning quantum measurements to control chaos

TL;DR

This paper investigates how different quantum measurement strategies can be tuned to control chaos in quantum systems, revealing a regime where monitoring choices influence the quantum-to-classical transition and chaotic behavior.

Contribution

It demonstrates that monitoring strategies can be used to control chaos in quantum systems, highlighting the interplay between measurement, decoherence, and nonlinear dynamics.

Findings

Monitoring parameters can suppress or induce chaos.

Quantum interference effects influence chaos control.

Measurement schemes affect the quantum-to-classical transition.

Abstract

Environment-induced decoherence has long been recognised as being of crucial importance in the study of chaos in quantum systems. In particular, the exact form and strength of the system-environment interaction play a major role in the quantum-to-classical transition of chaotic systems. In this work we focus on the effect of varying monitoring strategies, i.e. for a given decoherence model and a fixed environmental coupling, there is still freedom on how to monitor a quantum system. We show here that there is a region between the deep quantum regime and the classical limit where the choice of the monitoring parameter allows one to control the complex behaviour of the system, leading to either the emergence or suppression of chaos. Our work shows that this is a result from the interplay between quantum interference effects induced by the nonlinear dynamics and the effectiveness of the decoherence for different measurement schemes.