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Title: Transverse correlations in triphoton entanglement: Geometrical and physical optics

Abstract

The transverse correlation of triphoton entanglement generated within a single crystal is analyzed. Among many interesting features of the transverse correlation, they arise from the spectral function F of the triphoton state produced in the parametric processes. One consequence of transverse effects of entangled states is quantum imaging, which is theoretically studied in photon counting measurements. Klyshko's two-photon advanced-wave picture is found to be applicable to the multiphoton entanglement with some modifications. We found that in the two-photon coincidence counting measurement by using triphoton entanglement, although the Gaussian thin lens equation (GTLE) holds, the imaging shown in coincidences is obscure and has a poor quality. This is because of tracing the remaining transverse modes in the untouched beam. In the triphoton imaging experiments, two kinds of cases have been examined. For the case that only one object with one thin lens is placed in the system, we found that the GTLE holds as expected in the triphoton coincidences and the effective distance between the lens and imaging plane is the parallel combination of two distances between the lens and two detectors weighted by wavelengths, which behaves as the parallel combination of resistors in the electromagnetism theory. Only in this case,more » a point-point correspondence for forming an image is well-accomplished. However, when two objects or two lenses are inserted in the system, though the GTLEs are well-satisfied, in general a point-point correspondence for imaging cannot be established. Under certain conditions, two blurred images may be observed in the coincidence counts. We have also studied the ghost interference-diffraction experiments by using double slits as apertures in triphoton entanglement. It was found that when two double slits are used in two optical beams, the interference-diffraction patterns show unusual features compared with the two-photon case. This unusual behavior is a destructive interference between two amplitudes for two photons crossing two double slits.« less

Authors:
; ;  [1];  [2]
  1. Physics Department, University of Maryland, Baltimore, Maryland 21250 (United States)
  2. National Laboratory of Solid State Microstructures, Nanjing University, Nanjing, 210093 (China)
Publication Date:
OSTI Identifier:
21016053
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 76; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.76.023828; (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; APERTURES; CORRELATIONS; DIFFRACTION; ELECTROMAGNETISM; EQUATIONS; INTERFERENCE; LENSES; MONOCRYSTALS; MULTI-PHOTON PROCESSES; PHOTONS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SPECTRAL FUNCTIONS; WAVELENGTHS

Citation Formats

Jianming, Wen, Rubin, Morton H, Yanhua, Shih, and Xu, P. Transverse correlations in triphoton entanglement: Geometrical and physical optics. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.76.023828.
Jianming, Wen, Rubin, Morton H, Yanhua, Shih, & Xu, P. Transverse correlations in triphoton entanglement: Geometrical and physical optics. United States. https://doi.org/10.1103/PHYSREVA.76.023828
Jianming, Wen, Rubin, Morton H, Yanhua, Shih, and Xu, P. 2007. "Transverse correlations in triphoton entanglement: Geometrical and physical optics". United States. https://doi.org/10.1103/PHYSREVA.76.023828.
@article{osti_21016053,
title = {Transverse correlations in triphoton entanglement: Geometrical and physical optics},
author = {Jianming, Wen and Rubin, Morton H and Yanhua, Shih and Xu, P},
abstractNote = {The transverse correlation of triphoton entanglement generated within a single crystal is analyzed. Among many interesting features of the transverse correlation, they arise from the spectral function F of the triphoton state produced in the parametric processes. One consequence of transverse effects of entangled states is quantum imaging, which is theoretically studied in photon counting measurements. Klyshko's two-photon advanced-wave picture is found to be applicable to the multiphoton entanglement with some modifications. We found that in the two-photon coincidence counting measurement by using triphoton entanglement, although the Gaussian thin lens equation (GTLE) holds, the imaging shown in coincidences is obscure and has a poor quality. This is because of tracing the remaining transverse modes in the untouched beam. In the triphoton imaging experiments, two kinds of cases have been examined. For the case that only one object with one thin lens is placed in the system, we found that the GTLE holds as expected in the triphoton coincidences and the effective distance between the lens and imaging plane is the parallel combination of two distances between the lens and two detectors weighted by wavelengths, which behaves as the parallel combination of resistors in the electromagnetism theory. Only in this case, a point-point correspondence for forming an image is well-accomplished. However, when two objects or two lenses are inserted in the system, though the GTLEs are well-satisfied, in general a point-point correspondence for imaging cannot be established. Under certain conditions, two blurred images may be observed in the coincidence counts. We have also studied the ghost interference-diffraction experiments by using double slits as apertures in triphoton entanglement. It was found that when two double slits are used in two optical beams, the interference-diffraction patterns show unusual features compared with the two-photon case. This unusual behavior is a destructive interference between two amplitudes for two photons crossing two double slits.},
doi = {10.1103/PHYSREVA.76.023828},
url = {https://www.osti.gov/biblio/21016053}, journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 76,
place = {United States},
year = {Wed Aug 15 00:00:00 EDT 2007},
month = {Wed Aug 15 00:00:00 EDT 2007}
}