Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 37: Poster III

Q 37.6: Poster

Wednesday, March 13, 2024, 17:00–19:00, Tent B

Non-Markovianity of the nonlinear Caldeira-Leggett model — •Moritz F. Richter and Heinz-Peter Breuer — Institute of Physics, University of Freiburg, Germany

Employing the simulation method of the hierarchical equations of motion (HEOM), we investigate the nonlinear Caldeira-Legget model, a paradigmatic microscopic system-reservoir model used in open system theory. In particular, we study the impact of a nonlinear coupling of the open system to the reservoir modes on the size of memory effects quantified by the trace distance based measure for non-Markovianity [1]. We also discuss the role of instabilities of the HEOM method and how these influence the numerical determination of the non-Markovianity measure.

[1] Breuer H-P, Laine E-M, Piilo J and Vacchini B; 2016 "Colloquium: non-Markovian dynamics in open quantum systems"; Rev. Mod. Phys. 88 021002

Keywords: open quantum systems; quantum non-Markovianity; nonlinear Caldeira-Legget model; HEOM