Berlin 2015 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 26: Quantum Dynamics, Decoherence and Quantum Information (jointly with DY)

TT 26.7: Talk

Monday, March 16, 2015, 16:30–16:45, BH-N 334

Numerical Complexity in Non-Markovian Quantum Dynamics — •Michael Wiedmann and Jürgen T. Stockburger — Institute for Complex Quantum Systems, Ulm University, Albert-Einstein-Allee 11, D-89069 Ulm

Decoherence phenomena beyond perturbation theory are commonplace in condensed-matter physics, biophysics and strongly driven systems. The stochastic Liouville-von Neumann equation (SLN) [1] builds an exact, time-local and non-perturbative framework to tackle non-Markovian open system dynamics in these cases. In this technique the propagation of individual samples is non-unitary, the norm of quantum states is not preserved. Any resource-conscious numerical implementation faces the problem of deteriorating signal-to-noise ratios and increasing numbers of required trajectories. We present a propagation scheme that offers significant advances in sample statistics' efficiency with emphasis on strong dephasing. Apart from transient dynamics we consider system correlation functions of steady states in equilibrium and non-equilibrium settings.

[1] J. T. Stockburger and H. Grabert, PRL 88, 170407 (2002)