Ergodicity in randomly perturbed quantum systems

Abstract

The theoretical cornerstone of statistical mechanics is the ergodic assumption that all accessible configurations of a physical system are equally likely. Here we show how such property arises when an open quantum system is continuously perturbed by an external environment effectively observing the system at random times while the system dynamics approaches the quantum Zeno regime. In this context, by large deviation theory we analytically show how the most probable value of the probability for the system to be in a given state eventually deviates from the non-stochastic case when the Zeno condition is not satisfied. We experimentally test our results with ultra-cold atoms prepared on an atom chip.

arXiv comment6 pages, 5 figures

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• Noise Sensing via Stochastic Quantum Zeno
• Quantum random walk and tight-binding model subject to projective measurements at random times
• Tight-binding model subject to conditional resets at random times
• Thermalization processes induced by quantum monitoring in multi-level systems
• Protective Measurement -- a new quantum measurement paradigm: detailed description of the first realisation
• Quantum-heat fluctuation relations in $3$-level systems under projective measurements
• Advances in sequential measurement and control of open quantum systems
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• Effects of auto-correlated disorder on the dynamics in the vicinity of the many-body localization transition
• Energy fluctuation relations and repeated quantum measurements
• Role of the filter functions in noise spectroscopy
• Learning the noise fingerprint of quantum devices
• Late-time universal distribution functions of observables in one-dimensional many-body quantum systems