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Regensburg 2019 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 36: Fluctuations, Noise and Quantum Coherence

TT 36.2: Vortrag

Mittwoch, 3. April 2019, 09:45–10:00, H7

Higher order moments, cumulants, and spectra of continuous quantum measurements — •Fabian Schefczik and Daniel Hägele — AG Spektroskopie der kondensierten Materie, Ruhr-Universität Bochum, Deutschland

We provide general quantum expressions for the multi-time moments ⟨ z(tn) ⋯ z(t1) ⟩, cumulants, and spectra of the detector output z(t) of a continuous quantum measurement with applications in spin noise spectroscopy and transport theory [1]. The expressions are correct in all orders of the measurement strength, i.e. they cover both the case of spin noise experiments where Gaussian background noise dominates and of transport measurements that usually exhibit quantum jump behavior (telegraph noise). The expressions follow from a rigorous treatment of the so-called stochastic master equation in terms of Ito-calculus. The quantum expressions for the cumulants can be formulated in a way to appear as compact as those for the mult-time moments. We shortly discuss a connection of higher order moments to the celebrated full counting statistics of transport theory.
Daniel Hägele and Fabian Schefczik, Phys. Rev. B 98, 205143 (2018)

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