Numerical analysis of second law of thermodynamics and irreversibility   in exemplary quantum systems
  We test Boltzmann's H-theorem for several models of particle random walk. We study the influence of interaction between the particle and reservoir/detectors on entropy and find entropy increasing in time for some models and behaving non-monotonically for others. The key mechanism affecting the entropy growth is the quantum entanglement between the system and the reservoir. We discuss the details of the system-reservoir interaction, such as presence of the interference in the system and number of interactions with detector parts, and their impact on the monotonicity of entropy. 
G.B. Lesovik, I.A. Sadovskyy
quant-ph cond-mat.mes-hall cond-mat.stat-mech