Quantum-heat fluctuation relations in $3$-level systems under projective measurements

• URL: http://arxiv.org/abs/2002.12059v3
• Date: Mon, 23 Mar 2020 20:19:33 GMT
• Title: Quantum-heat fluctuation relations in $3$-level systems under projective measurements
• Authors: Guido Giachetti, Stefano Gherardini, Andrea Trombettoni, Stefano Ruffo
• Abstract summary: We study the statistics of energy fluctuations in a three-level quantum system. We discuss the occurrence of a unique energy scale factor $beta_rm eff$ that formally plays the role of an effective inverse temperature.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the statistics of energy fluctuations in a three-level quantum system subject to a sequence of projective quantum measurements. We check that, as expected, the quantum Jarzynski equality holds provided that the initial state is thermal. The latter condition is trivially satisfied for two-level systems, while this is generally no longer true for $N$-level systems, with $N > 2$. Focusing on three-level systems, we discuss the occurrence of a unique energy scale factor $\beta_{\rm eff}$ that formally plays the role of an effective inverse temperature in the Jarzynski equality. To this aim, we introduce a suitable parametrization of the initial state in terms of a thermal and a non-thermal component. We determine the value of $\beta_{\rm eff}$ for a large number of measurements and study its dependence on the initial state. Our predictions could be checked experimentally in quantum optics.

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