Abstract

We demonstrate superluminal light propagation using two frequency multiplexed pump beams to produce a gain doublet in a photorefractive crystal of Ce:BaTiO3. The two gain lines are obtained by two-wave mixing between a probe field and two individual pump fields. The angular frequencies of the pumps are symmetrically tuned from the frequency of the probe. The frequency difference between the pumps corresponds to the separation of the two gain lines; as it increases, the crystal gradually converts from normal dispersion without detuning to an anomalously dispersive medium. The time advance is measured as 0.28 sec for a pulse propagating through a medium with a 2Hz gain separation, compared to the same pulse propagating through empty space. We also demonstrate directly anomalous dispersion profile using a modified experimental configuration. Finally, we discuss how anomalous dispersion produced this way in a faster photorefractive crystal (such as SPS: Sn2P2S6) could be employed to enhance the sensitivity-bandwidth product of a LIGO type gravitational wave detector augmented by a White Light Cavity.

© 2008 Optical Society of America

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  1. M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
    [CrossRef]
  2. G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
    [CrossRef]
  3. G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
    [CrossRef] [PubMed]
  4. M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
    [CrossRef]
  5. M. S. Shahriar and M. Salit, "Application of Fast Light in Gravitational Wave Detection with Interferometers and Resonators," J. Mod. Opt. PQE issue (2008), In-Press.
  6. M. S. Shahriar and M. Salit, "A Fast-Light Enhanced Zero-Area Sagnac Ring Laser Gravitational Wave Detector," to be submitted to Phys. Rev. Letts. (http://lapt.eecs.northwestern.edu/preprints/FE-ZASRL-GWD.pdf)
  7. M. Salit and M. S. Shahriar, "Enhancement of Sensitivity-Bandwidth Product of Interferometric Gravitational Wave Detectors using White Light Cavities," to be submitted to Phys. Rev. A. (http://arxiv.org/ftp/arxiv/papers/0809/0809.4213.pdf)
  8. S. Wise V. Quetschke, A. J. Deshpande, G. Mueller, D. H. Reitze, D. B. Tanner, and B. F. Whiting, "Phase Effects in the Diffraction of Light: Beyond the Grating Equation," Phys. Rev. Lett. 95, 013901 (2005).
    [CrossRef] [PubMed]
  9. A. A. Savchenkov, A. B. Matsko,and L. Maleki, "White-light whispering gallery mode resonators," Opt. Lett. 31, 92-94 (2006).
    [CrossRef] [PubMed]
  10. A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
    [CrossRef]
  11. E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
    [CrossRef] [PubMed]
  12. A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
    [CrossRef]
  13. S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
    [CrossRef]
  14. H. Su and S. L. Chuang, "Room temperature slow and fast light in quantum-dot semiconductor optical amplifiers," Appl. Phys. Lett. 88, 061102 (2002).
    [CrossRef]
  15. L. Solymer, D. J. Webb, and A. Grunnet-Jepsen, The physics and application of photorefractive materials, (Clarendon Press, Oxford, 1996).
  16. Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
    [CrossRef] [PubMed]
  17. P. Yeh, "Two-wave mixing in nonlinear media," IEEE J. Quantum Electron. 25, 484-519 (1989).
    [CrossRef]
  18. G. Zhang, R. Dong, F. Bo, and J. Xu, "Slowdown of group velocity of light by means of phase coupling in photorefractive two-wave mixing," Appl. Opt. 43, 1167-1173 (2004).
    [CrossRef] [PubMed]
  19. A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
    [CrossRef]

2008 (1)

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

2007 (3)

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
[CrossRef] [PubMed]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

2006 (2)

Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
[CrossRef] [PubMed]

Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
[CrossRef] [PubMed]

A. A. Savchenkov, A. B. Matsko,and L. Maleki, "White-light whispering gallery mode resonators," Opt. Lett. 31, 92-94 (2006).
[CrossRef] [PubMed]

2005 (1)

S. Wise V. Quetschke, A. J. Deshpande, G. Mueller, D. H. Reitze, D. B. Tanner, and B. F. Whiting, "Phase Effects in the Diffraction of Light: Beyond the Grating Equation," Phys. Rev. Lett. 95, 013901 (2005).
[CrossRef] [PubMed]

2004 (2)

G. Zhang, R. Dong, F. Bo, and J. Xu, "Slowdown of group velocity of light by means of phase coupling in photorefractive two-wave mixing," Appl. Opt. 43, 1167-1173 (2004).
[CrossRef] [PubMed]

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

2003 (1)

E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

2002 (1)

H. Su and S. L. Chuang, "Room temperature slow and fast light in quantum-dot semiconductor optical amplifiers," Appl. Phys. Lett. 88, 061102 (2002).
[CrossRef]

2001 (2)

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
[CrossRef]

1997 (1)

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

1989 (1)

P. Yeh, "Two-wave mixing in nonlinear media," IEEE J. Quantum Electron. 25, 484-519 (1989).
[CrossRef]

Arakawa, Y.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Bo, F.

Buse, K.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

Chuang, S. L.

H. Su and S. L. Chuang, "Room temperature slow and fast light in quantum-dot semiconductor optical amplifiers," Appl. Phys. Lett. 88, 061102 (2002).
[CrossRef]

Danzmann, K.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

De-Kui Qiing, Z.

Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
[CrossRef] [PubMed]

Deng, Z.

Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
[CrossRef] [PubMed]

Dogariu, A.

A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
[CrossRef]

Dong, R.

Fleischhauer, M.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Fukutani, K.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Gopal, V.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Iwamoto, S.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Kageshima, H.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Kuroda, K.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Kuzmich, A.

A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
[CrossRef]

Maleki, L.

Matsko, A. B.

Messall, M.

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
[CrossRef] [PubMed]

Mueller, G.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Nishioka, M.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Odoulov, S.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Pati, G. S.

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
[CrossRef] [PubMed]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Podivilov, E.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Rinkleff, R.H.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Salit, K.

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
[CrossRef] [PubMed]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Salit, M.

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

Savchenkov, A. A.

Scully, M.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Shahriar, M. S.

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor," Phys. Rev. Lett. 99, 133601 (2007).
[CrossRef] [PubMed]

Shcherbin, K.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

Shimur, T.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Shumelyuk, A.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Someya, T.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Sturman, B.

A. Shumelyuk, K. Shcherbin, S. Odoulov, B. Sturman, E. Podivilov, K. Buse, "Slowing down of light in photorefractive crystals with beam intensity coupling reduced to zero," Phys. Rev. Lett. 93, 243604 (2004).
[CrossRef]

E. Podivilov, B. Sturman, A. Shumelyuk and S. Odoulov, "Light pulse slowing down up to 0.025cm/s by photorefractive two-wave coupling," Phys. Rev. Lett. 91, 083902 (2003).
[CrossRef] [PubMed]

Su, H.

H. Su and S. L. Chuang, "Room temperature slow and fast light in quantum-dot semiconductor optical amplifiers," Appl. Phys. Lett. 88, 061102 (2002).
[CrossRef]

Taketomi, S.

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Tripathi, R.

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Wang, L. J.

A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
[CrossRef]

Wicht, A.

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Xu, J.

Yeh, P.

P. Yeh, "Two-wave mixing in nonlinear media," IEEE J. Quantum Electron. 25, 484-519 (1989).
[CrossRef]

Zhang, G.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

H. Su and S. L. Chuang, "Room temperature slow and fast light in quantum-dot semiconductor optical amplifiers," Appl. Phys. Lett. 88, 061102 (2002).
[CrossRef]

IEEE J. Quantum Electron. (1)

P. Yeh, "Two-wave mixing in nonlinear media," IEEE J. Quantum Electron. 25, 484-519 (1989).
[CrossRef]

J. Mod. Opt. (1)

M. Salit, G. S. Pati, K. Salit, and M. S. Shahriar, "Fast-Light for Astrophysics: Super-sensitive Gyroscopes And Gravitational Wave Detectors," J. Mod. Opt. 54, 2425-2440, (2007).
[CrossRef]

Opt. Commun. (2)

G. S. Pati, M. Messall, K. Salit, and M. S. Shahriar, "Demonstration of Tunable Displacement-Measurement-Sensitivity using Variable Group Index in a Ring Resonator," Opt. Commun. 281, 4931-4935 (2008).
[CrossRef]

A. Wicht, K. Danzmann, M. Fleischhauer, M. Scully, G. Mueller, R.H. Rinkleff, "White-light cavities, atomic phase coherence, and gravitational wave detectors," Opt. Commun. 134, 431-439 (1997).
[CrossRef]

Opt. Lett (1)

S. Iwamoto, S. Taketomi, H. Kageshima, M. Nishioka, T. Someya, Y. Arakawa, K. Fukutani, T. Shimur, and K. Kuroda, "Photorefractive multiple quantum wells at 1064 nm," Opt. Lett.  26, 22 (2001).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (1)

M. S. Shahriar, G. S. Pati, R. Tripathi, V. Gopal, M. Messall and K. Salit, "Ultrahigh Precision Absolute and Relative Rotation Sensing using Fast and Slow Light," Phys. Rev. A 75, 053807 (2007).
[CrossRef]

Phys. Rev. A. (1)

A. Dogariu, A. Kuzmich, and L. J. Wang, "Transparent anomalous dispersion and superluminal light-pulse propagation at a negative group velocity," Phys. Rev. A. 63, 053806 (2001).
[CrossRef]

Phys. Rev. Lett. (5)

Z. Deng, De-Kui Qiing, P. R. Hemmer, C. H. Raymond Ooi, M. S. Zubairy, and M. O. Scully, "Time-bandwidth problem in room temperature slow light," Phys. Rev. Lett. 96, 023602 (2006).
[CrossRef] [PubMed]

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[CrossRef] [PubMed]

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M. Salit and M. S. Shahriar, "Enhancement of Sensitivity-Bandwidth Product of Interferometric Gravitational Wave Detectors using White Light Cavities," to be submitted to Phys. Rev. A. (http://arxiv.org/ftp/arxiv/papers/0809/0809.4213.pdf)

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Figures (5)

Fig. 1.
Fig. 1.

Numerical, normalized plots of S(ω), the Fourier transform of the input pulse (solid line), Γin(dashed line), and Γph (dotted line). The input pulse is assumed to be of the form exp(-t2/t2 0). For these plots, we have used for t0=0.6sec, Γ0d=6 and τ12≡τM=1. The four sets are for four different gain separations, 2Δω (a) 0Hz, (b) 1Hz, (c) 2Hz, (d) 4Hz

Fig. 2.
Fig. 2.

Simulated output signal for the Gaussian input of exp(-t2/t2 0) for the same parameters as set in Fig. 1. The frequency difference between the gains is given as (a) 0Hz, (b) 1Hz, (c) 2Hz, and (d) 4Hz. Dashed line indicates reference, solid line indicates signal output.

Fig. 3.
Fig. 3.

Schematic diagram of the experimental set-up; AOM : Acousto-optic modulator, B.S: Beam Splitter, B.C : Beam Collimator, H.P: Half-wave plate, M: Mirror, PTS : Frequency synthesizer, Pump1: fL+110MHz+4Hz+Δω, Pump2: fL+110MHz+4Hz-Δω, Probe : Gaussian pulse with the carrier frequency of fL+110MHz+4Hz

Fig. 4.
Fig. 4.

Experimental results showing the group velocity variation of the signal output with setting the separation of the gain doublet to (a) 0Hz, (b) 1Hz, (c) 2Hz, and (d) 4Hz. Dashed line indicates reference, solid line indicates signal output

Fig. 5.
Fig. 5.

(Top) Experimental set-up for measuring the dispersion profile directly. (Bottom) Observed dispersion profile centered around two pump frequencies. See text for additional details.

Equations (3)

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Γ in = j = 1 , 2 Γ 0 j 2 [ d 1 + ( ω s ω Pj ) 2 τ j 2 ]
Γ ph = j = 1 , 2 Γ 0 j 2 [ d ( ω s ω Pj ) τ j 1 + ( ω s ω Pj ) 2 τ j 2 ]
S ( d , ω s ) = S ( 0 , ω s ) exp ( Γ in 1 + Γ in 2 ) exp ( i ( Γ ph 1 + Γ ph 2 ) )

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