Quantization over boson operator spaces

Physics – Quantum Physics

Scientific paper

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9 pages, no figures

Scientific paper

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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