Thermodynamics of non-Markovian reservoirs and heat engines

George Thomas, Nana Siddharth, Subhashish Banerjee, and Sibasish Ghosh
Phys. Rev. E 97, 062108 – Published 4 June 2018

Abstract

We show that non-Markovian effects of the reservoirs can be used as a resource to extract work from an Otto cycle. The state transformation under non-Markovian dynamics is achieved via a two-step process, namely an isothermal process using a Markovian reservoir followed by an adiabatic process. From second law of thermodynamics, we show that the maximum amount of extractable work from the state prepared under the non-Markovian dynamics quantifies a lower bound of non-Markovianity. We illustrate our ideas with an explicit example of non-Markovian evolution.

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  • Received 10 January 2018
  • Revised 17 April 2018

DOI:https://doi.org/10.1103/PhysRevE.97.062108

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsQuantum Information, Science & Technology

Authors & Affiliations

George Thomas1,*, Nana Siddharth2,†, Subhashish Banerjee3,‡, and Sibasish Ghosh1,§

  • 1Optics and Quantum Information Group, The Institute of Mathematical Sciences, HBNI, CIT Campus, Taramani, Chennai 600113, India
  • 2The Institute of Mathematical Sciences, HBNI, CIT Campus, Taramani, Chennai 600113, India
  • 3Indian Institute of Technology Jodhpur, Jodhpur 342011, India

  • *georget@imsc.res.in
  • nana.siddharth@gmail.com
  • subhashish@iitj.ac.in
  • §sibasish@imsc.res.in

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Issue

Vol. 97, Iss. 6 — June 2018

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