The Effects of Amplification of Fluctuation Energy Scale by Quantum Measurement Choice on Quantum Chaotic Systems: Semiclassical Analysis
Measurement choices in weakly-measured open quantum systems can affect quantum trajectory chaos. We consider this scenario semi-classically and show that measurement acts as nonlinear generalized fluctuation and dissipation forces. These can alter effective dissipation in the quantum spread variables and hence change the dynamics, such that measurement choices can enhance quantum effects and make the dynamics chaotic, for example. This analysis explains the measurement dependence of quantum chaos at a variety of parameter settings, and in particular we demonstrate that the choice of monitoring scheme can be more relevant than system scale \(\beta \) in determining the ‘quantumness’ of the system.
All those at Carleton would like to thank Bruce Duffy for computational support, and AP would like to thank the Towsley and other Carleton College funds for support of students. AP and AC would like to thank the organizers of the Quantum Thermodynamics Conference 2018 in Santa Barbara for the excellent opportunity to learn and have conversations that partially led to this manuscript. AC also thanks AP’s hospitality during his visits to Carleton College, where part of this work was developed. SG and JE gratefully acknowledge support by the Australian Research Council Centre of Excellence for Quantum Computation and Communication Technology (project number CE110001027).
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