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 βeff 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 βeff for a large number of measurements and study its dependence on the initial state. Our predictions could be checked experimentally in quantum optics.
Quantum-heat fluctuation relations in three-level systems under projective measurements
Trombettoni A.;
2020-01-01
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 βeff 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 βeff for a large number of measurements and study its dependence on the initial state. Our predictions could be checked experimentally in quantum optics.File | Dimensione | Formato | |
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Quantum-Heat Fluctuation Relations in Three-Level Systems Under Projective Measurements.pdf
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