A note on the Landauer principle in quantum statistical mechanics
Abstract
The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than k_{B}T log 2. We discuss Landauer's principle for quantum statistical models describing a finite level quantum system S coupled to an infinitely extended thermal reservoir R. Using Araki's perturbation theory of KMS states and the AvronElgart adiabatic theorem we prove, under a natural ergodicity assumption on the joint system S+R, that Landauer's bound saturates for adiabatically switched interactions. The recent work [Reeb, D. and Wolf M. M., "(Im)proving Landauer's principle," preprint arXiv:1306.4352v2 (2013)] on the subject is discussed and compared.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 July 2014
 DOI:
 10.1063/1.4884475
 arXiv:
 arXiv:1406.0034
 Bibcode:
 2014JMP....55g5210J
 Keywords:

 Mathematical Physics;
 Quantum Physics
 EPrint:
 doi:10.1063/1.4884475