Quasi mode theory of the beam splitter - a quantum scattering theory approach

Dalton, B. J., Barnett, S. M. and Knight, P. L. (1999) Quasi mode theory of the beam splitter - a quantum scattering theory approach. Journal of Modern Optics, 46 10: 1559-1577. doi:10.1080/09500349908231356

Author Dalton, B. J.
Barnett, S. M.
Knight, P. L.
Title Quasi mode theory of the beam splitter - a quantum scattering theory approach
Formatted title
Quasi mode theory of the beam splitter—a quantum scattering theory approach
Journal name Journal of Modern Optics   Check publisher's open access policy
ISSN 0950-0340
Publication date 1999-08
Sub-type Article (original research)
DOI 10.1080/09500349908231356
Volume 46
Issue 10
Start page 1559
End page 1577
Total pages 19
Place of publication London, U.K
Publisher Taylor & Francis
Collection year 1999
Language eng
Subject C1
780102 Physical sciences
240402 Quantum Optics and Lasers
Formatted abstract
A quantum theory of the lossless beam splitter is given in terms of the quasi mode theory of macroscopic canonical quantization used to treat problems in cavity quantum electrodynamics and quantum optics. A Heisenberg picture approach to quantum scattering theory is applied, in which the input and output operators that are related via the scattering operator are linked to quantum optical measurements described via multi-time quantum correlation functions. In the application to the beam splitter the Heisenberg equations of motion for the input operators associated with the quasi mode annihilation operators are formally solved in a rotating picture to show that the unitary transform of the incident quasi mode annihilation operator (via the scattering operator) is just a linear combination of the incident and reflected quasi mode annihilation operators, in accordance with assumptions made in previous treatments of the beam splitter. The results depend on conservation of the transverse component of the wave vector, which follows from the form of the quasi mode—quasi mode coupling constants, and on conservation of the unperturbed energy, which follows from scattering theory. The applicability of quantum scattering theory to the beam splitter is justified in the usual situation where integrated one photon and two photon detection rates are finite for incident light field states of interest.
© 1999 Taylor & Francis Ltd
Keyword Optics
Su(2) Symmetry
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Created: Tue, 10 Jun 2008, 13:49:26 EST