Decoherence and Coherence Preservation in the Solutions of the GKSL Equation in the Theory of Open Quantum Systems


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Abstract

The properties of solutions of the Gorini–Kossakowski-Sudarshan–Lindblad (GKSL) equation for the density operator (matrix) of a system that has nondegenerate energy spectrum and weakly interacts with a reservoir are considered. Conditions for the existence of solutions for which the density matrix has off-diagonal entries (“coherences”) not tending to zero at large times are derived.

About the authors

A. S. Trushechkin

Steklov Mathematical Institute of Russian Academy of Sciences; National University of Science and Technology MISIS

Author for correspondence.
Email: trushechkin@mi-ras.ru
Russian Federation, Moscow, 119991; Moscow, 119049

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