Pushing the limits in real-time measurements of quantum dynamics

Abstract

Time-resolved studies of quantum systems are the key to understand quantum dynamics at its core. The real-time measurement of individual quantum numbers as they switch between certain discrete values, well known as random telegraph signal, is expected to yield maximal physical insight. However, the signal suffers from both systematic errors, such as a limited time resolution and noise from the measurement apparatus, as well as statistical errors due to a limited amount of data. Here we demonstrate that an evaluation scheme based on factorial cumulants can reduce the influence of such errors by orders of magnitude. The error resilience is supported by a general theory for the detection errors as well as experimental data of single-electron tunnelling through a self-assembled quantum dot. Thus, factorial cumulants push the limits in the analysis of random telegraph data which represent a wide class of experiments in physics, chemistry, engineering and life sciences.

arXiv comment7 pages manuscript + 16 pages supplementary information

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• Full counting statistics in a Majorana single-charge transistor
• Unraveling spin dynamics from charge fluctuations
• Nonequilibrium phase transition in a single-electron micromaser
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• Making Every Photon Count: A Quantum Polyspectra Approach to the Dynamics of Blinking Quantum Emitters at Low Photon Rates Without Binning
• Quantum state smoothing cannot be assumed classical even when the filtering and retrofiltering are classical
• Independent and coherent transitions between antiferromagnetic states of few-molecule systems
• Dark versus blocking states in electronic transport: a Lee-Yang zero analysis of full counting statistics
• Quantum stochastic resonance in a single-photon emitter