Correlation of photon pairs from the double Raman amplifier: generalized analytical quantum Langevin theory

Ooi, Chong Heng Raymond and Zubairy, M.S. and Sun, Q.Q. and Scully, M.O. (2007) Correlation of photon pairs from the double Raman amplifier: generalized analytical quantum Langevin theory. Physical Review A, 75 (1). ISSN 1050-2947, DOI https://doi.org/10.1103/PhysRevA.75.013820.

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Official URL: http://pra.aps.org/abstract/PRA/v75/i1/e013820

Abstract

We present a largely analytical theory for two-photon correlations G((2)) between Stokes (s) and anti-Stokes (a) photon pairs from an extended medium (amplifier) composed of double-Lambda atoms in counterpropagating geometry. We generalize the parametric coupled equations with quantum Langevin noise given in a beautiful experimental paper of Balic et al. [Phys. Rev. Lett. 94, 183601 (2005)] beyond adiabatic approximation and valid for arbitrary strength and detuning of laser fields. We derive an analytical formula for cross correlation G(as)((2)) = < E-s(dagger)(L)E-a(dagger)(0,tau)E-a(0,tau)E-s(L)> and use it to obtain results that are in good quantitative agreement with the experimental data. Results for G(as)((2)) obtained using our coupled equations are in good quantitative agreement with the results using the equations of Balic et al., while perfect agreement is obtained for sufficiently large detuning. We also compute the reverse correlation G(sa)((2)) which turns out to be negligibly small and remains classical while the cross correlation violates the Cauchy-Schwartz inequality by a factor of more than a hundred.

Item Type: Article
Funders: UNSPECIFIED
Additional Information: Department of Physics, Faculty of Science Building, University of Malaya, 50603 Kuala Lumpur, MALAYSIA
Uncontrolled Keywords: Photon pairs; Double Raman amplifier; Quantum Langevin theory
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Department of Physics
Depositing User: Miss Malisa Diana
Date Deposited: 08 Jul 2013 08:10
Last Modified: 09 Oct 2019 00:49
URI: http://eprints.um.edu.my/id/eprint/7941

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