Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 18: Quantum Information: Concepts and Methods III
Q 18.3: Vortrag
Dienstag, 1. März 2016, 11:30–11:45, e214
A positive tensor network approach for simulating open quantum many-body systems — Albert H. Werner1, Daniel Jaschke2, Pietro Silvi3, •Martin Kliesch1, Tommaso Calarco3, Jens Eisert1, and Simone Montangero3 — 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany — 2Department of Physics, Colorado School of Mines, Golden, Colorado 80401, USA — 3Institute for Complex Quantum systems (ICQ), Universität Ulm, 89069 Ulm, Germany
Open many-body quantum systems play an important role in quantum optics and condensed-matter physics, and capture phenomena like transport, interplay between Hamiltonian and incoherent dynamics, and topological order generated by dissipation.
We introduce a versatile and practical method to numerically simulate one-dimensional open quantum many-body dynamics using tensor networks. It is based on representing mixed quantum states in a locally purified form, which guarantees that positivity is preserved at all times. Moreover, the approximation error is controlled with respect to the trace norm. Hence, this scheme overcomes various obstacles of the known numerical open-system evolution schemes.