Darmstadt 2008 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 22: Collision processes and energy transfer II (jointly with MO)
A 22.3: Vortrag
Donnerstag, 13. März 2008, 11:45–12:00, 3F
Semiclassical treatment of non-Markovian dissipative quantum dynamics — •Werner Koch1, Frank Grossmann1, Jürgen Stockburger2, and Joachim Ankerhold2 — 1Institut für Theoretische Physik, Technische Univeristät Dresden, 01062 Dresden — 2Institut für Theoretische Physik, Universität Ulm, Albert-Einstein-Allee 11, 89069 Ulm
Any realistic system is coupled to its environment even if this coupling is very weak. The influence of the environment can result in dissipation of energy as well as decoherence of states in the system. Both effects have to be taken into account to accurately describe the time evolution of a state prepared in the system. A model system for the study of these effects is a single oscillator, linearly coupled to a bath of oscillators with a fixed temperature. The dynamics of the heat bath is treated using the influence functional formalism [1]. We show numerical results for the system under the influence of the heat bath using semiclassical techniques in initial value representation [2]. Issues arising during such calculations are discussed.
[1] Feynman, R. P. & Vernon, F. L.. "The theory of a general quantum system interacting with a linear dissipative system." Annals of Physics, no. 24 (1963): 118-173.
[2] Herman, M. F. & Kluk, E.. "A semiclassical justification for the use of nonspreading wavepackets in dynamics calculations." Chemical Physics, vol. 91 (1984): 27-34