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

Автор(и)

  • O. A. Ilinskaya B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Kharkiv 61103, Ukraine https://orcid.org/0000-0002-2898-609X
  • O. V. Ivakhnenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Kharkiv 61103, Ukraine
    Center for Quantum Computing, RIKEN, Wako, Saitama 351-0198, Japan     https://orcid.org/0000-0002-6887-9504
  • A. I. Ryzhov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Kharkiv 61103, Ukraine https://orcid.org/0009-0009-8635-7871
  • O. Yu. Kitsenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Kharkiv 61103, Ukraine
    V. N. Karazin Kharkiv National University, Kharkiv 61022, Ukraine     https://orcid.org/0009-0001-0444-6275
  • S. N. Shevchenko B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine Kharkiv 61103, Ukraine
    Department of Mathematics, Kyiv School of Economics, Kyiv 03113, Ukraine     https://orcid.org/0000-0003-3655-0365

DOI (Low Temperature Physics):


https://doi.org/10.1063/10.0046167

Ключові слова:

Gorini–Kossakowski–Sudarshan–Lindblad equation, qudit, periodic driving, density matrix, Lindblad operators, diabatic, static, instantaneous, superadiabatic, and Floquet eigenstate bases

Анотація

Відкриту квантову систему можна описати за допомогою основного рівняння (master equation), одним із найпопулярніших серед яких є рівняння Горіні–Коссаковського–Сударшана–Ліндблада (ГКСЛ). У цій роботі переглянуто опис керованих дисипативних квантових систем, причому увага акцентується на виборі базису системи та відповідних перетвореннях. Розглянуто рівняння ГКСЛ у різних базисах та обчислено динаміку для кубіта й кудіта. Вибір базису є фундаментальною проблемою для теоретичного розгляду відкритих квантових систем і надає можливість отримати бажану еволюцію на практиці.

Посилання

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2026-07-28

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O. A. Ilinskaya, O. V. Ivakhnenko, A. I. Ryzhov, O. Yu. Kitsenko, and S. N. Shevchenko, Gorini–Kossakowski–Sudarshan–Lindblad equation in different bases: Application to driven-dissipative two- and multilevel systems, Low Temp. Phys. 52, 1128–1142, (2026) [Fiz. Nyzk. Temp. 52, 1246–1260, (2026)] DOI: https://doi.org/10.1063/10.0046167.

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Том 52 № 9 (2026)

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