Abstract
A formulation ofentropy production is given with the aid of relative entropy in the nonlinear response theory of a quantum dynamical system. It allows a natural interpretation of the quantity in terms of familiar thermodynamic notions, such as force and response current conjugate to it, without sacrificing the full nonlinearity in the perturbing force. For the understanding ofdissipativity aspositive entropy production, the stationarity of states and coarse graining of time scale turn out to be essential, which are implemented by some time averaging procedures involvingalmost periodic external forces. Finally, it is shown that the obtained result reduces, in the linear response regime, to the power dissipation appearing in the well-known fluctuation-dissipation relation.
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Ojima, I., Hasegawa, H. & Ichiyanagi, M. Entropy production and its positivity in nonlinear response theory of quantum dynamical systems. J Stat Phys 50, 633–655 (1988). https://doi.org/10.1007/BF01026494
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DOI: https://doi.org/10.1007/BF01026494