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 / Giachetti, G.; Gherardini, S.; Trombettoni, A.; Ruffo, S.. - In: CONDENSED MATTER. - ISSN 2410-3896. - 5:1(2020).
|Titolo:||Quantum-heat fluctuation relations in three-level systems under projective measurements|
|Autori:||Giachetti, G.; Gherardini, S.; Trombettoni, A.; Ruffo, S.|
|Data di pubblicazione:||2020|
|Numero di Articolo:||17|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.3390/condmat5010017|
|Appare nelle tipologie:||1.1 Journal article|