Phys. Rev. A 31, 3093–3111 (1985)New formalism for two-photon quantum optics. II. Mathematical foundation and compact notationReceived 21 September 1984; published in the issue dated May 1985 This paper provides the mathematical foundation for the two-mode formalism introduced in the preceding paper. A vector notation is introduced; it allows two-mode properties to be written as compactly as the comparable properties for a single mode. The fundamental unitary operators of the formalism are described and their properties are examined; particular attention is paid to the two-mode squeeze operator. Special quantum states associated with the formalism are considered, with emphasis on the two-mode squeezed states. © 1985 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.31.3093
DOI:
10.1103/PhysRevA.31.3093
PACS:
42.50.+q, 42.65.-k
See AlsoSee Also: Carlton M. Caves and Bonny L. Schumaker, New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states, Phys. Rev. A 31, 3068 (1985). |
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