The Global versus Local Hamiltonian Description of Quantum Input-Output Theory
arXiv:1409.3884 · doi:10.1142/S1230161215500092
Abstract
The aim of this paper is to derive the global Hamiltonian form for a quantum system and bath, or more generally a quantum network with multiple quantum input field connections, based on the local descriptions. We give a new simple argument which shows that the global Hamiltonian for a single Markov component arises as the singular perturbation of the free translation operator. We show that the Fermi analogue takes an equivalent form provided the parity of the coefficients is correctly specified. This allows us to immediately extend the theory of quantum feedback networks to Fermi systems.
12 pages, 3 figures. Section on classical environments for quantum systems added. arXiv admin note: text overlap with arXiv:1404.3182
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