Extending third quantization with commuting observables: a dissipative spin-boson model

Medic, Luka (author), Ramšak, Anton (author), Prosen, Tomaž (author)

We consider the spectral and initial value problem for the Lindblad–Gorini–Kossakowski–Sudarshan master equation describing an open quantum system of bosons and spins, where the bosonic parts of the Hamiltonian and Lindblad jump operators are quadratic and linear respectively, while the spins couple to bosons via mutually commuting spin operators. Needless to say, the spin degrees of freedom can be replaced by any set of finite-level quantum systems. A simple, yet non-trivial example of a single open spin-boson model is worked out in some detail.

• Language: English
• Keywords: quantum mechanics, third quantization, spin-boson model
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Publication date: 08.02.2024
• Year: 2024
• Number of pages: 13 str.
• Numbering: Vol. 57, no. 8, art. no. 085301
• PID: 20.500.12556/RUL-154381
• UDC: 530.145
• ISSN on article: 1751-8113
• DOI: 10.1088/1751-8121/ad2297
• COBISS.SI-ID: 184850179
• Publication date in RUL: 12.02.2024

MEDIC, Luka, RAMŠAK, Anton and PROSEN, Tomaž, 2024, Extending third quantization with commuting observables: a dissipative spin-boson model. Journal of physics : Mathematical and theoretical [online]. 2024. Vol. 57, no. 8,  085301. [Accessed 22 April 2025]. DOI 10.1088/1751-8121/ad2297. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=154381

Record is a part of a journal

• Title: Journal of physics : Mathematical and theoretical
• Shortened title: J. phys., A, Math. theor.
• Publisher: IOP Publishing
• ISSN: 1751-8113
• COBISS.SI-ID: 3692314

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: kvantna mehanika, tretja kvantizacija, model spin-bozon