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Phys. Rev. A 79, 062303 (2009) [5 pages]

Conditions for factorizable output from a beam splitter

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S. C. Springer1, Jinhyoung Lee2, M. Bellini3,4, and M. S. Kim1
1School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom
2Department of Physics, Hanyang University, Seoul 133-791, Korea
3European Laboratory for Nonlinear Spectroscopy (LENS), Via Nello Carrara 1, 50019 Sesto Fiorentino, Florence, Italy
4Instituto Nazionale di Ottica Applicata (CNR), Largo E. Fermi, 6, I-50125 Florence, Italy

Received 4 December 2008; published 3 June 2009

A beam splitter is one of the most important devices in an optics laboratory because of its handiness and versatility; equivalent devices are found in various quantum systems to couple two subsystems or to interfere them. While it is normal that two independent input fields are superposed at the beam splitter to give correlated outputs, identical Gaussian states interfere there to produce totally independent output fields. We prove that the Gaussian states with same variances are the only states which bring about factorizable output fields.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.062303
DOI:
10.1103/PhysRevA.79.062303
PACS:
03.67.Bg, 42.50.Dv, 03.67.Mn