Dresden 2003 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 52: Quantum chaos II
DY 52.2: Vortrag
Freitag, 28. März 2003, 11:45–12:00, G\"OR/226
Stochastic unraveling of time-local quantum master equations
beyond the Lindblad class — •U. Kleinekathöfer1, I. Kondov2, and M. Schreiber1,2 — 1International University Bremen, 28725 Bremen, Germany — 2Institut für Physik, Technische Universität, 09107 Chemnitz
A new method for stochastic unraveling of general time-local quantum master equations (QME) which involve the reduced density operator at time t only is proposed. The present kind of jump algorithm enables a numerically efficient treatment of QMEs which are not of Lindblad form. So it opens new large fields of application for stochastic methods. The unraveling can be achieved by allowing for trajectories with negative weight. We present results for the quantum Brownian motion and the Redfield QMEs as test examples. The algorithm can also unravel non-Markovian QMEs when they are in a time-local form like in the time-convolutionless formalism.
[1] U. Kleinekathöfer, I. Kondov and M. Schreiber, Phys. Rev. E 66, 037701 (2002).