Fluctuation-dissipation theorem for non-equilibrium quantum systems

Mohammad Mehboudi; Anna Sanpera; Juan M. R. Parrondo

doi:10.22331/q-2018-05-24-66

Fluctuation-dissipation theorem for non-equilibrium quantum systems

Mohammad Mehboudi^1,2, Anna Sanpera^1,3, and Juan M. R. Parrondo⁴

¹Departament de Física, Universitat Autònoma de Barcelona - E08193 Bellaterra, Spain
²ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
³ICREA, Psg. Lluís Companys 23, 08001 Barcelona, Spain
⁴Departamento de Física Atómica, Molecular y Nuclear and GISC, Universidad Complutense Madrid, 28040 Madrid, Spain

Published:	2018-05-24, volume 2, page 66
Eprint:	arXiv:1705.03968v4
Doi:	https://doi.org/10.22331/q-2018-05-24-66
Citation:	Quantum 2, 66 (2018).

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Abstract

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.

► BibTeX data

@article{Mehboudi2018fluctuation,
  doi = {10.22331/q-2018-05-24-66},
  url = {https://doi.org/10.22331/q-2018-05-24-66},
  title = {Fluctuation-dissipation theorem for non-equilibrium quantum systems},
  author = {Mehboudi, Mohammad and Sanpera, Anna and Parrondo, Juan M. R.},
  journal = {{Quantum}},
  issn = {2521-327X},
  publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
  volume = {2},
  pages = {66},
  month = may,
  year = {2018}
}

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