RT Journal Article
T1 Fluctuation-dissipation theorem for non-equilibrium quantum systems
A1 Mehboudi, Mohammad
A1 Sanpera, Anna
A1 Rodríguez Parrondo, Juan Manuel
AB The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system under a time-dependent perturbation and time correlations of certain observables in equilibrium. Here we derive a generalization of the theorem which can be applied to any Markov quantum system and makes use of the symmetric logarithmic derivative (SLD). There are several important benefits from our approach. First, such a formulation clarifies the relation between classical and quantum versions of the equilibrium FDT. Second, and more important, it facilitates the extension of the FDT to arbitrary quantum Markovian evolution, as given by quantum maps. Third, it clarifies the connection between the FDT and quantum metrology in systems with a non-equilibrium steady state.
PB Verein Forderung Open Access Publizierens Quantenwissenschaf
SN 2521-327X
YR 2018
FD 2018-05-24
LK https://hdl.handle.net/20.500.14352/13321
UL https://hdl.handle.net/20.500.14352/13321
LA eng
NO This Paper is published in Quantum under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. Copyright remains with the original copyright holders such as the authors or their institutions. We acknowledge financial support from the Spanish MINECO projects FIS2013-40627-P, FIS2013-46768, FIS2014-52486-R (AEI/FEDER EU), QIBEQI FIS2016-80773-P, Severo Ochoa SEV-2015-0522, and the Generalitat de Catalunya CIRIT (2014-SGR-966, 2014-SGR-874), and the Generalitat de Catalunya (CERCA Programme) and Fundacio Privada Cellex. M.M. acknowledges financial support from E.U. under the project TherMiQ.
NO Ministerio de Economía y Competitividad (MINECO)/FEDER
NO Generalitat de Catalunya
NO Fundacio Privada Cellex
NO E.U. under the project TherMiQ
DS Docta Complutense
RD 19 abr 2025