Non-Markovian dynamics of quantum systems. II. Decay rate, capture, and pure states

Journal Article · Sat Jan 01 04:00:00 EST 2005 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.71.016122· OSTI ID:20641348

Palchikov, Yu V; Antonenko, N V ^[1]; Kanokov, Z ^[1]; Adamian, G G ^[1]; Scheid, W ^[2]

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1. Joint Institute for Nuclear Research, 141980 Dubna (Russian Federation)
2. Institut fuer Theoretische Physik der Justus-Liebig-Universitaet, D-35392 Giessen (Germany)

On the basis of a master equation for the reduced density matrix of open quantum systems, we study the influence of time-dependent friction and diffusion coefficients on the decay rate from a potential well and the capture probability into a potential well. Taking into account the mixed diffusion coefficient D{sub qp}, the quasistationary decay rates are compared with the analytically derived Kramers-type formulas for different temperatures and frictions. The diffusion coefficients supplying the purity of states are derived for a non-Markovian dynamics.

• OSTI ID: 20641348
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 1 Vol. 71; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAPTURE
DENSITY MATRIX
EQUATIONS
FRICTION
IMPURITIES
MARKOV PROCESS
PARTICLE DECAY
POTENTIALS
PROBABILITY
TIME DEPENDENCE