skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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)].

Authors:
 [1]
  1. Norman Bridge Laboratory of Physics 12-33, California Institute of Technology, Pasadena, California 91125 (United States)
Publication Date:
OSTI Identifier:
21020808
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevA.76.043813; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ABSORPTION; AMPLITUDES; CONVERSION; INTERACTIONS; MULTI-PHOTON PROCESSES; NONLINEAR OPTICS; PHOTON-PHOTON INTERACTIONS; PHOTONS; POTENTIALS; PUMPING; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; TRAVELLING WAVES

Citation Formats

Dayan, Barak. Theory of two-photon interactions with broadband down-converted light and entangled photons. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.043813.
Dayan, Barak. Theory of two-photon interactions with broadband down-converted light and entangled photons. United States. https://doi.org/10.1103/PHYSREVA.76.043813
Dayan, Barak. Mon . "Theory of two-photon interactions with broadband down-converted light and entangled photons". United States. https://doi.org/10.1103/PHYSREVA.76.043813.
@article{osti_21020808,
title = {Theory of two-photon interactions with broadband down-converted light and entangled photons},
author = {Dayan, Barak},
abstractNote = {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)].},
doi = {10.1103/PHYSREVA.76.043813},
url = {https://www.osti.gov/biblio/21020808}, journal = {Physical Review. A},
issn = {1050-2947},
number = 4,
volume = 76,
place = {United States},
year = {2007},
month = {10}
}