Tuning quantum measurements to control chaos

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.

Updated to published version (11 pages, 7 figures)

References in corpus (4)

• Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
• Non-monotonicity in the quantum-classical transition: Chaos induced by quantum effects
• Transient chaos - a resolution of breakdown of quantum-classical correspondence in optomechanics
• Dynamical complexity in the quantum to classical transition

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