Berlin 2018 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 50: Quantum Dynamics, Decoherence and Quantum Information (joint session DY/TT)
DY 50.4: Talk
Wednesday, March 14, 2018, 16:15–16:30, EB 107
Stochastic simulation of open-system quantum dynamics: overcoming the curse of non-Hermitian propagation — Konstantin Schmitz1, Thomas Unden2, and •Jürgen Stockburger1 — 1Ulm University, Institute for Complex Quantum Systems — 2Ulm University, Intstiute for Quantum Optics
The Stochastic Liouville-von Neumann equation [1] provides an exact
numerical simulation strategy for quantum systems coupled to a
reservoir with Gaussian fluctuations of arbitrary spectrum (linear
dissipation). Individual stochastic samples are propagated with Hamiltonians containing random
non-Hermitian terms, leading to poor signal-to noise ratios in some cases.
However, the efficiency of this approach has
recently improved dramatically through time-domain projection
techniques, implemented as reduction operations [2]. In addition, we present
two recently developed sampling strategies which show
significantly improved
scaling with the strength of the dissipative interaction and with the
reservoir memory time: a) anticorrelated sampling, exploiting a
gauge-like symmetry and b) reducing the non-unitary terms in sample
propagation through convex optimization techniques.
[1] J. T. Stockburger and H. Grabert, PRL 88 170407
(2002)
[2] J. T. Stockburger, EPL 115, 40010 (2016)