Irreversible Work and Inner Friction in Quantum Thermodynamic Processes
Abstract
We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed along ideal adiabatic and isothermal transformations. The comparison with the latter leads to the introduction of irreversible work, while that with the former leads to the introduction of inner friction. We show that these two quantities can be treated on an equal footing, as both can be linked with the heat exchanged in thermalization processes and both can be expressed as relative entropies. Furthermore, we show that a specific fluctuation relation for the entropy production associated with the inner friction exists, which allows the inner friction to be written in terms of its cumulants.
 Publication:

Physical Review Letters
 Pub Date:
 December 2014
 DOI:
 10.1103/PhysRevLett.113.260601
 arXiv:
 arXiv:1407.3441
 Bibcode:
 2014PhRvL.113z0601P
 Keywords:

 05.70.Ln;
 05.30.d;
 Nonequilibrium and irreversible thermodynamics;
 Quantum statistical mechanics;
 Quantum Physics;
 Condensed Matter  Statistical Mechanics
 EPrint:
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