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

DOI10.1088/1751-8121/AD2297arXiv2308.05160WikidataQ129357446 ScholiaQ129357446MaRDI QIDQ6190380

Tomaž Prosen, Unnamed Author, Unnamed Author

Publication date: 5 March 2024

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.05160

zbMATH Keywords

decoherencequadratic Hamiltonianthird quantizationLindblad master equationspin-Boson model

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• On the generators of quantum dynamical semigroups
• Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition
• Quantization over boson operator spaces
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Matrix product solutions of boundary driven quantum chains
• Integrability and superintegrability of the generalized n-level many-mode Jaynes–Cummings and Dicke models
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Completely positive dynamical semigroups of N-level systems
• Stochastic exclusion processes versus coherent transport

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