Quantum thermodynamically consistent local master equations
- URL: http://arxiv.org/abs/2008.04742v2
- Date: Mon, 22 Feb 2021 17:15:28 GMT
- Title: Quantum thermodynamically consistent local master equations
- Authors: Adam Hewgill, Gabriele De Chiara, Alberto Imparato
- Abstract summary: We show that local master equations are consistent with thermodynamics and its laws without resorting to a microscopic model.
We consider a quantum system in contact with multiple baths and identify the relevant contributions to the total energy, heat currents and entropy production rate.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Local master equations are a widespread tool to model open quantum systems,
especially in the context of many-body systems. These equations, however, are
believed to lead to thermodynamic anomalies and violation of the laws of
thermodynamics. In contrast, here we rigorously prove that local master
equations are consistent with thermodynamics and its laws without resorting to
a microscopic model, as done in previous works. In particular, we consider a
quantum system in contact with multiple baths and identify the relevant
contributions to the total energy, heat currents and entropy production rate.
We show that the second law of thermodynamics holds when one considers the
proper expression we derive for the heat currents. We confirm the results for
the quantum heat currents by using a heuristic argument that connects the
quantum probability currents with the energy currents, using an analogous
approach as in classical stochastic thermodynamics. We finally use our results
to investigate the thermodynamic properties of a set of quantum rotors
operating as thermal devices and show that a suitable design of three rotors
can work as an absorption refrigerator or a thermal rectifier. For the machines
considered here, we also perform an optimisation of the system parameters using
an algorithm of reinforcement learning.
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