Thermodynamics of non-Markovian reservoirs and heat engines. (arXiv:1801.00744v1 [quant-ph])

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 cast into a two-step process involving 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 the
lower bound of non-Markovianity. We illustrate our ideas with an explicit
example of non-Markovian evolution.

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