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arXiv · 2607.03779

Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems

O. A. Ilinskaya·O. V. Ivakhnenko·A. I. Ryzhov·O. Yu. Kitsenko·S. N. Shevchenko
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Abstract

An open quantum system can be described by a master equation, of which one of the most popular is the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation. We revisit description of driven-dissipative quantum systems focusing on the appropriate choice of the system's basis and the respective transformations. We consider the GKSL equation in different bases and calculate the dynamics for a qubit and for a qudit. An appropriate choice of the basis is a fundamental problem for theoretical consideration of open quantum systems and provides an opportunity to obtain the desired evolution in practice.

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O. A. Ilinskaya, O. V. Ivakhnenko, A. I. Ryzhov, O. Yu. Kitsenko, S. N. Shevchenko. 2026-07-04. Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems. https://arxiv.org/abs/2607.03779

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