Translation of quantum states by four-wave mixing in fibers

doi:10.1364/OPEX.13.009131

Translation of quantum states by four-wave mixing in fibers

C. McKinstrie, J. Harvey, S. Radic, and M. Raymer »View Author Affiliations

Optics Express, Vol. 13, Issue 22, pp. 9131-9142 (2005)
http://dx.doi.org/10.1364/OPEX.13.009131

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Abstract
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Abstract

Optical frequency conversion by four-wave mixing (Bragg scattering) in a fiber is considered. If the frequencies and polarizations of the waves are chosen judiciously, Bragg scattering enables the translation of individual and entangled states, without the noise pollution associated with parametric amplification (modulation instability or phase conjugation), and with reduced noise pollution associated with stimulated Raman scattering.

OCIS Codes
(060.4370) Fiber optics and optical communications : Nonlinear optics, fibers
(190.2620) Nonlinear optics : Harmonic generation and mixing
(270.2500) Quantum optics : Fluctuations, relaxations, and noise

ToC Category:
Research Papers

History
Original Manuscript: September 6, 2005
Revised Manuscript: October 26, 2005
Published: October 31, 2005

Citation
C. McKinstrie, J. Harvey, S. Radic, and M. Raymer, "Translation of quantum states by four-wave mixing in fibers," Opt. Express 13, 9131-9142 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-22-9131

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References

J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, �??Fiber-based optical parametric amplifiers and their applications,�?? IEEE J. Sel. Top. Quantum Electron. 8, 506�??520 (2002). [CrossRef]
S. Radic and C. J. McKinstrie, �??Two-pump fiber parametric amplifiers,�?? Opt. Fiber Technol. 9, 7�??23 (2003). [CrossRef]
W. H. Louisell, Radiation and Noise in Quantum Electronics (McGraw-Hill, 1964).
R. Loudon, The Quantum Theory of Light, 3rd Ed. (Oxford University Press, 2000).
C. J. McKinstrie, S. Radic and M. G. Raymer, �??Quantum noise properties of parametric amplifiers driven by two pump waves,�?? Opt. Express 12, 5037�??5066 (2004). [CrossRef] [PubMed]
C. J. McKinstrie, M. Yu, M. G. Raymer and S. Radic, �??Quantum noise properties of parametric processes,�?? Opt. Express 13, 4986�??5012 (2005). [CrossRef] [PubMed]
M. G. Raymer, �??Quantum state entanglement and readout of collective atomic-ensemble modes and optical wave packets by stimulated Raman scattering,�?? J. Mod. Opt. 51, 1739�??1759 (2004).
H. Kogelnik, R. M. Jopson and L. E. Nelson, �??Polarization-mode dispersion,�?? in Optical Fiber Telecommunications IVB, edited by I. Kaminow and T. Li (Academic Press, 2002), pp. 725�??861.
C. J. McKinstrie, S. Radic and A. R. Chraplyvy, �??Parametric amplifiers driven by two pump waves,�?? IEEE J. Sel. Top. Quantum Electron. 8, 538�??547 and 956 (2002). [CrossRef]
C. J. McKinstrie, S. Radic and C. Xie, �??Parametric instabilities driven by orthogonal pump waves in birefringent fibers,�?? Opt. Express 11, 2619�??2633 (2003). [CrossRef] [PubMed]
C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic and A. V. Kanaev, �??Four-wave mixing in fibers with random birefringence,�?? Opt. Express 12, 2033�??2055 (2004). [CrossRef] [PubMed]
M. Yu, C. J. McKinstrie and G. P. Agrawal, �??Modulational instabilities in dispersion-flattened fibers,�?? Phys. Rev. E 52, 1072�??1080 (1995). [CrossRef]
J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth and P. S. J. Russell, �??Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,�?? Opt. Lett. 28, 2225�??2227 (2003). [CrossRef] [PubMed]
A. Y. H. Chen, G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth and P. S. J. Russell, �??Widely tunable optical parametric generation in a photonic crystal fiber,�?? Opt. Lett. 30, 762�??764 (2005). [CrossRef] [PubMed]
T. Tanemura, J. Suzuki, K. Katoh and K. Kikuchi, �??Polarization-insensitive all-optical wavelength conversion using cross-phase modulation in twisted fiber and optical filtering,�?? IEEE Photon. Technol. Lett. 17, 1052�??1054 (2005). [CrossRef]
R. H. Stolen and E. P. Ippen, �??Raman gain in glass optical waveguides,�?? Appl. Phys. Lett. 22, 276�??278 (1973). [CrossRef]
R. H. Stolen, �??Polarization effects in fiber Raman and Brillouin lasers,�?? IEEE J. Quantum Electron. 15, 1157�??1160 (1979). [CrossRef]
M. G. Raymer and I. A.Walmsley, �??Quantum coherence properties of stimulated Raman scattering,�?? in Progress in Optics, Vol. 28, edited by E. Wolf (North-Holland, 1990), pp. 181�??270. [CrossRef]
P. L. Voss and P. Kumar, �??Raman-noise-induced noise-figure limit for c(3) parametric amplifiers,�?? Opt. Lett. 29, 445�??447 (2004). [CrossRef] [PubMed]
R. Tang, P. L. Voss, J. Lasri, P. Devgan and P. Kumar, �??Noise-figure limit of fiber-optical parametric amplifiers and wavelength convertors: experimental investigation,�?? Opt. Lett. 29, 2372�??2374 (2004). [CrossRef] [PubMed]
X. Li, P. L. Voss, J. Chen, K. F. Lee and P. Kumar, �??Measurement of co- and cross-polarized Raman spectra in silica fiber for small detunings,�?? Opt. Express 13, 2236-2244 (2005). [CrossRef] [PubMed]
P. D. Maker and R.W. Terhune, �??Study of optical effects due to an induced polarization third order in the electric field strength,�?? Phys. Rev. 137, A801�??A818 (1965). [CrossRef]
P. K. A. Wai, C. R. Menyuk and H. H. Chen, �??Stability of solitons in randomly varying birefringent fibers,�?? Opt. Lett. 16, 1231�??1233 (1991). [CrossRef] [PubMed]
S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, �??Polarization muliplexing with solitons,�?? J. Lightwave Technol. 10, 28�??35 (1992). [CrossRef]
C. R. Menyuk, �??Nonlinear pulse propagation in birefringent optical fibers,�?? IEEE J. Quantum Electron. 23, 174�??176 (1987). [CrossRef]
A. J. Barlow, J. J. Ramskov-Hansen and D. N. Payne, �??Birefringence and polarization-mode dispersion in spun single-mode fibers,�?? Appl. Opt. 20, 2962�??2968 (1981). [CrossRef] [PubMed]

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[1] J. Hansryd, P. A. Andrekson, M. Westlund, J. Li and P. O. Hedekvist, �??Fiber-based optical parametric amplifiers and their applications,�?? IEEE J. Sel. Top. Quantum Electron. 8, 506�??520 (2002). [CrossRef]

[2] S. Radic and C. J. McKinstrie, �??Two-pump fiber parametric amplifiers,�?? Opt. Fiber Technol. 9, 7�??23 (2003). [CrossRef]

[3] W. H. Louisell, Radiation and Noise in Quantum Electronics (McGraw-Hill, 1964).

[4] R. Loudon, The Quantum Theory of Light, 3rd Ed. (Oxford University Press, 2000).

[5] C. J. McKinstrie, S. Radic and M. G. Raymer, �??Quantum noise properties of parametric amplifiers driven by two pump waves,�?? Opt. Express 12, 5037�??5066 (2004). [CrossRef] [PubMed]

[6] C. J. McKinstrie, M. Yu, M. G. Raymer and S. Radic, �??Quantum noise properties of parametric processes,�?? Opt. Express 13, 4986�??5012 (2005). [CrossRef] [PubMed]

[7] M. G. Raymer, �??Quantum state entanglement and readout of collective atomic-ensemble modes and optical wave packets by stimulated Raman scattering,�?? J. Mod. Opt. 51, 1739�??1759 (2004).

[8] H. Kogelnik, R. M. Jopson and L. E. Nelson, �??Polarization-mode dispersion,�?? in Optical Fiber Telecommunications IVB, edited by I. Kaminow and T. Li (Academic Press, 2002), pp. 725�??861.

[9] C. J. McKinstrie, S. Radic and A. R. Chraplyvy, �??Parametric amplifiers driven by two pump waves,�?? IEEE J. Sel. Top. Quantum Electron. 8, 538�??547 and 956 (2002). [CrossRef]

[10] C. J. McKinstrie, S. Radic and C. Xie, �??Parametric instabilities driven by orthogonal pump waves in birefringent fibers,�?? Opt. Express 11, 2619�??2633 (2003). [CrossRef] [PubMed]

[11] C. J. McKinstrie, H. Kogelnik, R. M. Jopson, S. Radic and A. V. Kanaev, �??Four-wave mixing in fibers with random birefringence,�?? Opt. Express 12, 2033�??2055 (2004). [CrossRef] [PubMed]

[12] M. Yu, C. J. McKinstrie and G. P. Agrawal, �??Modulational instabilities in dispersion-flattened fibers,�?? Phys. Rev. E 52, 1072�??1080 (1995). [CrossRef]

[13] J. D. Harvey, R. Leonhardt, S. Coen, G. K. L. Wong, J. C. Knight, W. J. Wadsworth and P. S. J. Russell, �??Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber,�?? Opt. Lett. 28, 2225�??2227 (2003). [CrossRef] [PubMed]

[14] A. Y. H. Chen, G. K. L. Wong, S. G. Murdoch, R. Leonhardt, J. D. Harvey, J. C. Knight, W. J. Wadsworth and P. S. J. Russell, �??Widely tunable optical parametric generation in a photonic crystal fiber,�?? Opt. Lett. 30, 762�??764 (2005). [CrossRef] [PubMed]

[15] T. Tanemura, J. Suzuki, K. Katoh and K. Kikuchi, �??Polarization-insensitive all-optical wavelength conversion using cross-phase modulation in twisted fiber and optical filtering,�?? IEEE Photon. Technol. Lett. 17, 1052�??1054 (2005). [CrossRef]

[16] R. H. Stolen and E. P. Ippen, �??Raman gain in glass optical waveguides,�?? Appl. Phys. Lett. 22, 276�??278 (1973). [CrossRef]

[17] R. H. Stolen, �??Polarization effects in fiber Raman and Brillouin lasers,�?? IEEE J. Quantum Electron. 15, 1157�??1160 (1979). [CrossRef]

[18] M. G. Raymer and I. A.Walmsley, �??Quantum coherence properties of stimulated Raman scattering,�?? in Progress in Optics, Vol. 28, edited by E. Wolf (North-Holland, 1990), pp. 181�??270. [CrossRef]

[19] P. L. Voss and P. Kumar, �??Raman-noise-induced noise-figure limit for c(3) parametric amplifiers,�?? Opt. Lett. 29, 445�??447 (2004). [CrossRef] [PubMed]

[20] R. Tang, P. L. Voss, J. Lasri, P. Devgan and P. Kumar, �??Noise-figure limit of fiber-optical parametric amplifiers and wavelength convertors: experimental investigation,�?? Opt. Lett. 29, 2372�??2374 (2004). [CrossRef] [PubMed]

[21] X. Li, P. L. Voss, J. Chen, K. F. Lee and P. Kumar, �??Measurement of co- and cross-polarized Raman spectra in silica fiber for small detunings,�?? Opt. Express 13, 2236-2244 (2005). [CrossRef] [PubMed]

[22] P. D. Maker and R.W. Terhune, �??Study of optical effects due to an induced polarization third order in the electric field strength,�?? Phys. Rev. 137, A801�??A818 (1965). [CrossRef]

[23] P. K. A. Wai, C. R. Menyuk and H. H. Chen, �??Stability of solitons in randomly varying birefringent fibers,�?? Opt. Lett. 16, 1231�??1233 (1991). [CrossRef] [PubMed]

[24] S. G. Evangelides, L. F. Mollenauer, J. P. Gordon and N. S. Bergano, �??Polarization muliplexing with solitons,�?? J. Lightwave Technol. 10, 28�??35 (1992). [CrossRef]

[25] C. R. Menyuk, �??Nonlinear pulse propagation in birefringent optical fibers,�?? IEEE J. Quantum Electron. 23, 174�??176 (1987). [CrossRef]

[26] A. J. Barlow, J. J. Ramskov-Hansen and D. N. Payne, �??Birefringence and polarization-mode dispersion in spun single-mode fibers,�?? Appl. Opt. 20, 2962�??2968 (1981). [CrossRef] [PubMed]

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Translation of quantum states by four-wave mixing in fibers