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Title: Role of noise operators on two-photon correlations in an extended coherent Raman medium

Abstract

An extended medium driven in a double Raman configuration generates Stokes and anti-Stokes fields that are described by coupled parametric oscillator equations with solutions that depend on input boundary operators and quantum noise operators. We identify the conditions where the boundary operators can be the substitute to the noise operators for describing two-photon cross correlation in forward and backward geometries. These conditions include short sample and small decoherence between ground states {gamma}{sub bc}, and they are fulfilled by the spontaneous Raman electromagnetic induced transparency scheme (weak pump with large detuning). We verify the correspondence between the results from boundary and noise operators analytically and show that the correlation due to the boundary operators is typically smaller than that due to the noise operators. In general the noise operators are required to obtain the correct correlation, especially when the control laser field is weak and {gamma}{sub bc} is finite. Explanations for the findings are given based on the physics represented by the boundary operators and noise operators. Similar conclusions are obtained for the Stokes and anti-Stokes intensities.

Authors:
 [1];  [2];  [3];  [3];  [4];  [5]
  1. Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701 (Korea, Republic of)
  2. (Germany)
  3. (United States)
  4. Institute for Quantum Studies and Department of Physics, Texas A and M University, Texas 77843-4242 (United States)
  5. (Qatar)
Publication Date:
OSTI Identifier:
20982598
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.75.053822; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CONFIGURATION; CORRELATIONS; GROUND STATES; LASER RADIATION; MATHEMATICAL SOLUTIONS; MULTI-PHOTON PROCESSES; NOISE; OPACITY; OPTICAL PUMPING; PARAMETRIC OSCILLATORS; PHOTONS; RAMAN SPECTRA

Citation Formats

Raymond Ooi, C. H., Max-Planck-Institut fuer Quantenoptik, D-85748, Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, Texas 77843-4242, Princeton Institute for the Science and Technology of Materials and Department of Mechanical and Aerospace Engineering, Princeton University, New Jersey 08544, Zubairy, M. Suhail, and Texas A and M University at Qatar, Education City, P.O. Box 23874, Doha. Role of noise operators on two-photon correlations in an extended coherent Raman medium. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.053822.
Raymond Ooi, C. H., Max-Planck-Institut fuer Quantenoptik, D-85748, Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, Texas 77843-4242, Princeton Institute for the Science and Technology of Materials and Department of Mechanical and Aerospace Engineering, Princeton University, New Jersey 08544, Zubairy, M. Suhail, & Texas A and M University at Qatar, Education City, P.O. Box 23874, Doha. Role of noise operators on two-photon correlations in an extended coherent Raman medium. United States. doi:10.1103/PHYSREVA.75.053822.
Raymond Ooi, C. H., Max-Planck-Institut fuer Quantenoptik, D-85748, Garching, Institute for Quantum Studies and Department of Physics, Texas A and M University, Texas 77843-4242, Princeton Institute for the Science and Technology of Materials and Department of Mechanical and Aerospace Engineering, Princeton University, New Jersey 08544, Zubairy, M. Suhail, and Texas A and M University at Qatar, Education City, P.O. Box 23874, Doha. Tue . "Role of noise operators on two-photon correlations in an extended coherent Raman medium". United States. doi:10.1103/PHYSREVA.75.053822.
@article{osti_20982598,
title = {Role of noise operators on two-photon correlations in an extended coherent Raman medium},
author = {Raymond Ooi, C. H. and Max-Planck-Institut fuer Quantenoptik, D-85748, Garching and Institute for Quantum Studies and Department of Physics, Texas A and M University, Texas 77843-4242 and Princeton Institute for the Science and Technology of Materials and Department of Mechanical and Aerospace Engineering, Princeton University, New Jersey 08544 and Zubairy, M. Suhail and Texas A and M University at Qatar, Education City, P.O. Box 23874, Doha},
abstractNote = {An extended medium driven in a double Raman configuration generates Stokes and anti-Stokes fields that are described by coupled parametric oscillator equations with solutions that depend on input boundary operators and quantum noise operators. We identify the conditions where the boundary operators can be the substitute to the noise operators for describing two-photon cross correlation in forward and backward geometries. These conditions include short sample and small decoherence between ground states {gamma}{sub bc}, and they are fulfilled by the spontaneous Raman electromagnetic induced transparency scheme (weak pump with large detuning). We verify the correspondence between the results from boundary and noise operators analytically and show that the correlation due to the boundary operators is typically smaller than that due to the noise operators. In general the noise operators are required to obtain the correct correlation, especially when the control laser field is weak and {gamma}{sub bc} is finite. Explanations for the findings are given based on the physics represented by the boundary operators and noise operators. Similar conclusions are obtained for the Stokes and anti-Stokes intensities.},
doi = {10.1103/PHYSREVA.75.053822},
journal = {Physical Review. A},
number = 5,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}