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      https://www.ias.ac.in/article/fulltext/pram/080/02/0207-0222

    • Keywords

       

      Fluctuation theorems; entropy production; measurement and feedback; mutual information.

    • Abstract

       

      Based on trajectory-dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for three different cases: (i) the system is evolving in isolation from its surroundings; (ii) the system being weakly coupled to a heat bath; and (iii) system in contact with reservoir using quantum Crooks fluctuation theorem. In Case (iii), we build on the treatment carried out by H T Quan and H Dong [arXiv/cond-mat:0812.4955], where a quantum trajectory has been defined as a sequence of alternating work and heat steps. The obtained entropy production fluctuation theorems (FTs) retain the same form as in the classical case. The inequality of second law of thermodynamics gets modified in the presence of information. These FTs are robust against intermediate measurements of any observable performed with respect to von Neumann projective measurements as well as weak or positive operator-valued measurements.

    • Author Affiliations

       

      Subhashis Rana1 Sourabh Lahiri1 A M Jayannavar1

      1. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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