SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 6: Poster I (joint session QI/Q)
QI 6.12: Poster
Monday, March 6, 2023, 16:30–19:00, Empore Lichthof
Markovian master equations beyond the adiabatic and inertial limit — •Josias Langbehn1, Roie Dann2, Raphael Menu3, Giovanna Morigi3, Ronnie Kosloff2, and Christiane Koch1 — 1Freie Universität Berlin, Berlin — 2Institute of Chemistry, Hebrew University, Jerusalem — 3Universität des Saarlandes, Saarbrücken
Markovian master equations in Gorini-Kossakowski-Sudarshan-Lindblad (GKLS) form can accurately describe the dynamics of many open quantum systems ranging from optical to solid state systems. Adding a drive to the system complicates the derivation of any such master equation. The Markovian framework has been extended to drives in the adiabatic regime [1] and beyond that to inertial drives within the "non-adiabatic master equation" (NAME) [2]. The aim of this work is to extend this framework to drives that go even beyond the inertial limit by introducing a numerical scheme for finding an eigenoperator basis. In principle this allows for arbitrary drives, going as far as Markovian master equations in GKLS form remain valid. Moreover, the numerical scheme allows treating situations where no inertial solution can be found analytically. This opens the door for optimal control tasks where the time-dependency of the optimal drives may not be adiabatic/ inertial. We observe significant deviations between the NAME and the adiabatic/ inertial limit in multiple exemplary systems considered.
[1] Albash, T., Boixo, S., Lidar, D. A. & Zanardi, P. New J. Phys. 14, 123016 (2012). [2] Dann, R., Levy, A. & Kosloff, R. Phys. Rev. A 98, 052129 (2018).