Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 18: Quantum Gases (Bosons) II
Q 18.7: Talk
Monday, March 5, 2018, 15:30–15:45, K 2.020
Is there a Floquet Lindbladian? — •Alexander Schnell1,3, André Eckardt1,3, and Sergey Denisov2,3 — 1Max Planck Institut für Physik komplexer Systeme, Dresden, Germany — 2Universität Augsburg, Germany — 3Institute for Basic Science, Center for Theoretical Physics of Complex Systems, Daejeon, South Korea
It is well known that the stroboscopic dynamics of a time-periodically driven closed quantum system can be mapped to the dynamics of a time-independent Floquet Hamiltonian acting on the identical Hilbert space. For cold atom systems this concept has been applied successfully to shaken optical lattices, giving rise to e.g. artificial gauge fields for charge neutral atoms [1].
We address the question if a similar mapping exists for time-periodically driven open quantum systems, whose dynamics is governed by a Lindblad superoperator. We find that for a simple qubit model there are extensive parameter regions where a mapping to a time-independent Floquet Lindbladian is possible, and extensive regions where it is not. In the regions where this mapping fails the stroboscopic dynamics can only be reproduced by a time-homogeneous evolution that is non-markovian.
[1] A. Eckardt, Rev. Mod. Phys. 89, 011004 (2017)