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Theory of two-photon interactions with broadband down-converted light and entangled photons

Dayan, Barak (2007) Theory of two-photon interactions with broadband down-converted light and entangled photons. Physical Review A, 76 (4). Art. No. 043813. ISSN 1050-2947. doi:10.1103/PhysRevA.76.043813.

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When two-photon interactions are induced by down-converted light with a bandwidth that exceeds the pump bandwidth, they can obtain a behavior that is pulselike temporally, yet spectrally narrow. At low photon fluxes this behavior reflects the time and energy entanglement between the down-converted photons. However, two-photon interactions such as two-photon absorption (TPA) and sum-frequency generation (SFG) can exhibit such a behavior even at high power levels, as long as the final state (i.e., the atomic level in TPA, or the generated light in SFG) is narrow-band enough. This behavior does not depend on the squeezing properties of the light, is insensitive to linear losses, and has potential applications. In this paper we describe analytically this behavior for traveling-wave down conversion with continuous or pulsed pumping, both for high- and low-power regimes. For this we derive a quantum-mechanical expression for the down-converted amplitude generated by an arbitrary pump, and formulate operators that represent various two-photon interactions induced by broadband light. This model is in excellent agreement with experimental results of TPA and SFG with high-power down-converted light and with entangled photons [Dayan et al., Phys. Rev. Lett. 93, 023005 (2004); 94, 043602 (2005); Pe'er et al., ibid. 94, 073601 (2005)].

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Additional Information:©2007 The American Physical Society. (Received 20 April 2007; published 11 October 2007) I wish to thank Avi Pe’er and Yaron Silberberg for many fruitful discussions and insights.
Subject Keywords:nonlinear optics; quantum entanglement; quantum optics; two-photon processes
Issue or Number:4
Record Number:CaltechAUTHORS:DAYpra07a
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9001
Deposited By: Archive Administrator
Deposited On:13 Oct 2007
Last Modified:08 Nov 2021 20:55

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