Third quantization for bosons: symplectic diagonalization, non-Hermitian Hamiltonian, and symmetries

DOI10.1088/1751-8121/acf177arXiv2304.02367OpenAlexW4385912547MaRDI QIDQ6096898

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Publication date: 15 September 2023

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

Full work available at URL: https://arxiv.org/abs/2304.02367

zbMATH Keywords

symmetrynon-Hermitian Hamiltonianthird quantizationLindblad equationopen bosonic system

Mathematics Subject Classification ID

Hamilton's equations (70H05) Open systems, reduced dynamics, master equations, decoherence (81S22) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Canonical quantization (81S08) Bosonic systems in quantum theory (81V73)

Cites Work

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• Field Theory of Non-Equilibrium Systems
• Quantization over boson operator spaces
• Canonical forms for symplectic and Hamiltonian matrices
• 𝓟𝓣-symmetric quantum mechanics
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Field theory of many-body Lindbladian dynamics