Skip to content
DraconiticResearch
Search Sources API
182,544 studies31 sourcesUpdated 27 min ago
PreprintarXiv licencearXiv

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
Open at sourcePDFDOICite

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.

Versions

Related

  1. The Magnusian generator for dissipative systems and application to leading 2.5PN radiation-reaction dynamics
    Francisco M. Blanco
    arXivPreprintCC BY 4.0Full textSolar & stellar physicsGravitation & general relativityarXiv
  2. Supersymmetry of dissipative Bose-Fermi systems with application to Jaynes-Cummings and Dicke models
    Colin V. Coane, Francesco Iachello
    arXivPreprintarXiv licenceFull textMathematical physicsQuantum physics & quantum informationarXiv
  3. Quantum Thermodynamic Transformation Optics: A Unified Framework for Energy and Entropy With Application to the Casimir Force in Dissipative Metamaterials
    Mohammad Mehdi Sadeghi, Mustafa Sarısaman
    Nanophotonics (Berlin, Germany)Peer-reviewedCC BYFull textAtomic, molecular & optical physicsEurope PMCEurope PMC
  4. From weakly to strongly-interacting driven-dissipative bosons in one dimension
    Martina Zündel, Loïc Herviou, Léonie Canet +1
    HALPreprintLicence not statedGeneral physicsHAL
  5. Measuring spin-charge separation by an off-diagonal dissipative response
    Liang Tong, Shi Chen, Yu Chen
    New Journal of PhysicsPeer-reviewedCC BY 4.0Atomic, molecular & optical physicsIOP/AAS

Cite

BibTeXRIS
BibTeX
@misc{ilinskaya2026gorinikossakowskisudarshanlindblad,
  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},
  howpublished = {arXiv},
  year = {2026},
  month = jul,
  doi = {10.48550/arxiv.2607.03779},
  eprint = {2607.03779},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.03779},
}
RIS
TY  - UNPB
TI  - Gorini-Kossakowski-Sudarshan-Lindblad equation in different bases: application to driven-dissipative two- and multilevel systems
AU  - O. A. Ilinskaya
AU  - O. V. Ivakhnenko
AU  - A. I. Ryzhov
AU  - O. Yu. Kitsenko
AU  - S. N. Shevchenko
PY  - 2026
DA  - 2026/07/04
PB  - arXiv
DO  - 10.48550/arxiv.2607.03779
UR  - https://arxiv.org/abs/2607.03779
AB  - 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.
ER  -