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Phys. Rev. A 68, 050301(R) (2003) [4 pages]

Quantum spiral bandwidth of entangled two-photon states

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J. P. Torres, A. Alexandrescu, and Lluis Torner
ICFO–Institut de Ciencies Fotoniques, and Department of Signal Theory and Communications, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain

Received 13 June 2003; published 19 November 2003

We put forward the concept of quantum spiral bandwidth of the spatial mode function of the two-photon entangled state generated in spontaneous parametric down-conversion. We obtain the bandwidth using the eigenstates of the orbital angular momentum of the biphoton states, and reveal its dependence with the length of the down-converting crystals and waist of the pump beam. The connection between the quantum spiral bandwidth and the entropy of entanglement of the quantum state is discussed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.050301
DOI:
10.1103/PhysRevA.68.050301
PACS:
03.67.-a, 42.50.Dv