SAMOP 2023 – scientific programme
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QI: Fachverband Quanteninformation
QI 29: Quantum Thermodynamics and Open Quantum Systems II
QI 29.8: Talk
Thursday, March 9, 2023, 16:15–16:30, B302
Initial Correlations in Open Quantum Systems: Constructing Linear Dynamical Maps and Master Equations — •Niklas Neubrand1, Alessandra Colla1, and Heinz-Peter Breuer1,2 — 1Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany — 2EUCOR Centre for Quantum Science and Quantum Computing, University of Freiburg, Hermann-Herder-Straße 3, D-79104 Freiburg, Germany
We investigate the dynamics of open quantum systems which are initially correlated with their environment. Our strategy [1, 2] is to analyze how given, fixed initial correlations modify the evolution of the open system with respect to the corresponding uncorrelated dynamical behavior with the same fixed initial environmental state, described by a completely positive dynamical map. We show that, for any predetermined initial correlations, one can introduce a linear dynamical map on the space of operators of the open system which acts exactly like the proper dynamical map on the set of physical states and represents its unique linear extension. Furthermore, we demonstrate that this construction leads to a linear, time-local master equation with generalized Lindblad structure involving time-dependent, possibly negative transition rates. Finally, we illustrate the formalism with the Jaynes-Cummings model and consider the reduced dynamics of a two-level atom which is initially correlated with a single-mode radiation field.
[1] A. Colla, N. Neubrand, and H.-P. Breuer, New J. Phys., 2022
[2] N. Neubrand, Master Thesis, Uni Freiburg, 2022,
[2] DOI 10.6094/UNIFR/231431