Hamiltonian approach to open quantum Brownian motion.
Presented by Dr. Ilya SINAYSKIY on 10 Jul 2014 from 10:00 to 10:20
Type: Oral Presentation
Track: Track G - Theoretical and Computational Physics
The microscopic derivation of Open Quantum Brownian Motion (OQBM) is presented [1,2]. OQBM is obtained as a special limit (scaling limit) of the recently introduced Open Quantum Walks [3,4]. The quantum master equation for OQBM is derived for a weakly driven system interacting with the decoherent environment. Examples of the dynamics for initial Gaussian and non-Gaussian distributions are presented.  M. Bauer, D. Bernard and A. Tilloy, Phys. Rev. A 88 (2013), 062340.  M. Bauer, D. Bernard and A. Tilloy, The Open Quantum Brownian Motion, math-ph/1312.1600.  S. Attal, F. Petruccione and I. Sinayskiy, Phys. Lett. A 376 (2012), 1545.  S. Attal, F. Petruccione, C. Sabot and I. Sinayskiy, J. Stat. Phys. 147 (2012), 832.