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

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

Quantum Physics 2026-07-04 v1

Authors: O. A. Ilinskaya , O. V. Ivakhnenko , A. I. Ryzhov , O. Yu. Kitsenko , S. N. Shevchenko

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.

Keywords

GKSL equation open quantum systems master equation driven-dissipative systems basis transformation qudit dynamics

Cite

@article{arxiv.2607.03779,
  title  = {Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems},
  author = {O. A. Ilinskaya and O. V. Ivakhnenko and A. I. Ryzhov and O. Yu. Kitsenko and S. N. Shevchenko},
  journal= {arXiv preprint arXiv:2607.03779},
  year   = {2026}
}

Comments

15 pages, 4 figures, 1 table