Quantization over boson operator spaces
classification
🪐 quant-ph
math-phmath.MP
keywords
quantizationarbitrarybosonbathsbosoniccanonicalcasecouplings
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The framework of third quantization - canonical quantization in the Liouville space - is developed for open many-body bosonic systems. We show how to diagonalize the quantum Liouvillean for an arbitrary quadratic n-boson Hamiltonian with arbitrary linear Lindblad couplings to the baths and, as an example, explicitly work out a general case of a single boson.
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Cited by 1 Pith paper
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Exact operator dynamics in Lindbladian Wess-Zumino-Witten conformal field theories
Abelian U(1)_k WZW Lindbladians admit exact closed operator dynamics for arbitrary jump rates via current algebra, while non-Abelian versions require symmetric dissipation and close only for single operators.
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