Abstract

We propose an efficient scheme for the dynamic generation and manipulation of beating signals in a sample of cold atoms driven into the four-level quasi-Λ configuration. This scheme relies on a procedure of light storage and retrieval controlled by a classical coupling field with a microwave field introduced only in the retrieval stage. One quantum probe field, incident upon this atomic sample, is transformed into a collective excitation of atomic spin coherence and then into two optical components characterized by different time-dependent phases. Consequently the retrieved quantum probe field exhibits a series of maxima and minima (beating signals) in intensity due to the alternative constructive and destructive interference. This interesting phenomenon, in fact, involves the coherent conversion between single-mode and two-mode dark-state polaritons and could be explored to measure the microwave intensity with high-precision beating signals.

© 2013 Optical Society of America

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  1. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
    [CrossRef]
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    [CrossRef]
  3. H. Kang and Y. Zhu, “Observation of large Kerr nonlinearity at low light intensities,” Phys. Rev. Lett. 91, 093601 (2003).
    [CrossRef]
  4. C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
    [CrossRef]
  5. J. Kou, R.-G. Wan, Z.-H. Kang, H.-H. Wang, L. Jiang, X.-J. Zhang, Y. Jiang, and J.-Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27, 2035–2039 (2010).
    [CrossRef]
  6. Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
    [CrossRef]
  7. M. Fleischhauer and M. D. Lukin, “Dark-state polaritons in electromagnetically induced transparency,” Phys. Rev. Lett. 84, 5094–5097 (2000).
    [CrossRef]
  8. M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002).
    [CrossRef]
  9. A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
    [CrossRef]
  10. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
    [CrossRef]
  11. J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
    [CrossRef]
  12. M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
    [CrossRef]
  13. Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
    [CrossRef]
  14. I. Friedler and G. Kurizhi, “Deterministic quantum logic with photons via optically induced photonic band gaps,” Phys. Rev. A 71, 023803 (2005).
    [CrossRef]
  15. K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
    [CrossRef]
  16. L. Karpa, F. Vewinger, and M. Weitz, “Resonance beating of light stored using atomic spinor polaritons,” Phys. Rev. Lett. 101, 170406 (2008).
    [CrossRef]
  17. A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
    [CrossRef]
  18. L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
    [CrossRef]
  19. Q. -Q. Bao, J.-W. Gao, C.-L. Cui, G. Wang, Y. Xue, and J.-H. Wu, “Dynamic generation of robust and controlled beating signals in an asymmetric procedure of light storage and retrieval,” Opt. Express 19, 11832–11840 (2011).
    [CrossRef]
  20. Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
    [CrossRef]
  21. H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
    [CrossRef]
  22. G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
    [CrossRef]
  23. H. Jeong and S. Du, “Two-way transparency in the light-matter interaction: optical precursors with electromagnetically induced transparency,” Phys. Rev. A 79, 011802 (2009).
    [CrossRef]
  24. D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
    [CrossRef]
  25. B. Macke and B. Segard, “Optical precursors in transparent media,” Phys. Rev. A 80, 011803 (2009).
    [CrossRef]
  26. W. R. LeFew, S. Venakides, and D. J. Gauthier, “Accurate description of optical precursors and their relation to weak-field coherent optical transients,” Phys. Rev. A 79, 063842 (2009).
    [CrossRef]
  27. J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
    [CrossRef]
  28. M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
    [CrossRef]
  29. A. Sommerfeld, “Über die fortpflanzung des lichtes in disperdierenden medien,” Ann. Phys. 349, 177–202 (1914).
    [CrossRef]
  30. L. Brillouin, “Über die fortpflanzung des licht in disperdierenden medien,” Ann. Phys. 349, 203–240 (1914).
    [CrossRef]
  31. H. Jeong, A. M. C. Dawes, and D. J. Gauthier, “Direct observation of optical precursors in a region of anomalous dispersion,” Phys. Rev. Lett. 96, 143901 (2006).
    [CrossRef]
  32. H. Jeong and S. Du, “Slow-light-induced interference with stacked optical precursors for square input pulses,” Opt. Lett. 35, 124–126 (2010).
    [CrossRef]
  33. J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
    [CrossRef]
  34. B. S. Ham, “Experimental demonstration of all-optical 1×2 quantum routing,” Appl. Phys. Lett. 85, 893–895 (2004).
    [CrossRef]
  35. J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
    [CrossRef]
  36. T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
    [CrossRef]
  37. A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
    [CrossRef]

2012 (2)

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

2011 (3)

Q. -Q. Bao, J.-W. Gao, C.-L. Cui, G. Wang, Y. Xue, and J.-H. Wu, “Dynamic generation of robust and controlled beating signals in an asymmetric procedure of light storage and retrieval,” Opt. Express 19, 11832–11840 (2011).
[CrossRef]

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

2010 (6)

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

H. Jeong and S. Du, “Slow-light-induced interference with stacked optical precursors for square input pulses,” Opt. Lett. 35, 124–126 (2010).
[CrossRef]

J. Kou, R.-G. Wan, Z.-H. Kang, H.-H. Wang, L. Jiang, X.-J. Zhang, Y. Jiang, and J.-Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27, 2035–2039 (2010).
[CrossRef]

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

2009 (5)

H. Jeong and S. Du, “Two-way transparency in the light-matter interaction: optical precursors with electromagnetically induced transparency,” Phys. Rev. A 79, 011802 (2009).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

B. Macke and B. Segard, “Optical precursors in transparent media,” Phys. Rev. A 80, 011803 (2009).
[CrossRef]

W. R. LeFew, S. Venakides, and D. J. Gauthier, “Accurate description of optical precursors and their relation to weak-field coherent optical transients,” Phys. Rev. A 79, 063842 (2009).
[CrossRef]

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

2008 (3)

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

L. Karpa, F. Vewinger, and M. Weitz, “Resonance beating of light stored using atomic spinor polaritons,” Phys. Rev. Lett. 101, 170406 (2008).
[CrossRef]

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

2007 (1)

A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
[CrossRef]

2006 (3)

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, “Direct observation of optical precursors in a region of anomalous dispersion,” Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef]

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

2005 (3)

I. Friedler and G. Kurizhi, “Deterministic quantum logic with photons via optically induced photonic band gaps,” Phys. Rev. A 71, 023803 (2005).
[CrossRef]

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
[CrossRef]

2004 (2)

T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
[CrossRef]

B. S. Ham, “Experimental demonstration of all-optical 1×2 quantum routing,” Appl. Phys. Lett. 85, 893–895 (2004).
[CrossRef]

2003 (3)

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

H. Kang and Y. Zhu, “Observation of large Kerr nonlinearity at low light intensities,” Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
[CrossRef]

2002 (2)

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002).
[CrossRef]

2000 (1)

M. Fleischhauer and M. D. Lukin, “Dark-state polaritons in electromagnetically induced transparency,” Phys. Rev. Lett. 84, 5094–5097 (2000).
[CrossRef]

1999 (1)

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
[CrossRef]

1914 (2)

A. Sommerfeld, “Über die fortpflanzung des lichtes in disperdierenden medien,” Ann. Phys. 349, 177–202 (1914).
[CrossRef]

L. Brillouin, “Über die fortpflanzung des licht in disperdierenden medien,” Ann. Phys. 349, 203–240 (1914).
[CrossRef]

Andre, A.

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

Appel, J.

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

Ba, N.

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

Bajcsy, M.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
[CrossRef]

Balic, V.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Bao, Q. -Q.

Bao, Q.-Q.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

Beil, F.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

Braje, D. A.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Brillouin, L.

L. Brillouin, “Über die fortpflanzung des licht in disperdierenden medien,” Ann. Phys. 349, 203–240 (1914).
[CrossRef]

Chen, J. F.

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

Chen, Y.-C.

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

Chen, Y.-F.

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Chen, Y.-H.

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Choi, K. S.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

Cui, C.-L.

Q. -Q. Bao, J.-W. Gao, C.-L. Cui, G. Wang, Y. Xue, and J.-H. Wu, “Dynamic generation of robust and controlled beating signals in an asymmetric procedure of light storage and retrieval,” Opt. Express 19, 11832–11840 (2011).
[CrossRef]

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

Dawes, A. M. C.

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, “Direct observation of optical precursors in a region of anomalous dispersion,” Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef]

Deng, H.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

Du, S.

H. Jeong and S. Du, “Slow-light-induced interference with stacked optical precursors for square input pulses,” Opt. Lett. 35, 124–126 (2010).
[CrossRef]

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

H. Jeong and S. Du, “Two-way transparency in the light-matter interaction: optical precursors with electromagnetically induced transparency,” Phys. Rev. A 79, 011802 (2009).
[CrossRef]

Eisaman, M. D.

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

Feng, L.

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

Figueroa, E.

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

Fleischhauer, M.

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
[CrossRef]

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Dark-state polaritons in electromagnetically induced transparency,” Phys. Rev. Lett. 84, 5094–5097 (2000).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
[CrossRef]

Friedler, I.

I. Friedler and G. Kurizhi, “Deterministic quantum logic with photons via optically induced photonic band gaps,” Phys. Rev. A 71, 023803 (2005).
[CrossRef]

Gao, J.-W.

Q. -Q. Bao, J.-W. Gao, C.-L. Cui, G. Wang, Y. Xue, and J.-H. Wu, “Dynamic generation of robust and controlled beating signals in an asymmetric procedure of light storage and retrieval,” Opt. Express 19, 11832–11840 (2011).
[CrossRef]

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

Gao, J.-Y.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

J. Kou, R.-G. Wan, Z.-H. Kang, H.-H. Wang, L. Jiang, X.-J. Zhang, Y. Jiang, and J.-Y. Gao, “EIT-assisted large cross-Kerr nonlinearity in a four-level inverted-Y atomic system,” J. Opt. Soc. Am. B 27, 2035–2039 (2010).
[CrossRef]

Gauthier, D. J.

W. R. LeFew, S. Venakides, and D. J. Gauthier, “Accurate description of optical precursors and their relation to weak-field coherent optical transients,” Phys. Rev. A 79, 063842 (2009).
[CrossRef]

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, “Direct observation of optical precursors in a region of anomalous dispersion,” Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef]

Hager, J.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

Halfmann, T.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

Ham, B. S.

B. S. Ham, “Experimental demonstration of all-optical 1×2 quantum routing,” Appl. Phys. Lett. 85, 893–895 (2004).
[CrossRef]

Harris, S. E.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Heinze, G.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

Hung, W.

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
[CrossRef]

Jeong, H.

H. Jeong and S. Du, “Slow-light-induced interference with stacked optical precursors for square input pulses,” Opt. Lett. 35, 124–126 (2010).
[CrossRef]

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

H. Jeong and S. Du, “Two-way transparency in the light-matter interaction: optical precursors with electromagnetically induced transparency,” Phys. Rev. A 79, 011802 (2009).
[CrossRef]

H. Jeong, A. M. C. Dawes, and D. J. Gauthier, “Direct observation of optical precursors in a region of anomalous dispersion,” Phys. Rev. Lett. 96, 143901 (2006).
[CrossRef]

Jiang, L.

Jiang, Y.

Kang, H.

H. Kang and Y. Zhu, “Observation of large Kerr nonlinearity at low light intensities,” Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

Kang, Z.-H.

Karpa, L.

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

L. Karpa, F. Vewinger, and M. Weitz, “Resonance beating of light stored using atomic spinor polaritons,” Phys. Rev. Lett. 101, 170406 (2008).
[CrossRef]

Kimble, H. J.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

Korystov, D.

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

Kostrun, M.

T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
[CrossRef]

Kou, J.

Kurizhi, G.

I. Friedler and G. Kurizhi, “Deterministic quantum logic with photons via optically induced photonic band gaps,” Phys. Rev. A 71, 023803 (2005).
[CrossRef]

Laurat, J.

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

Lee, M.-J.

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

LeFew, W. R.

W. R. LeFew, S. Venakides, and D. J. Gauthier, “Accurate description of optical precursors and their relation to weak-field coherent optical transients,” Phys. Rev. A 79, 063842 (2009).
[CrossRef]

Li, J.-H.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Li, S.-J.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Lin, C.-C.

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Lobino, M.

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

Loy, M. M. T.

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

Lukin, M. D.

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002).
[CrossRef]

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Dark-state polaritons in electromagnetically induced transparency,” Phys. Rev. Lett. 84, 5094–5097 (2000).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
[CrossRef]

Lvovsky, A. I.

J. Appel, E. Figueroa, D. Korystov, M. Lobino, and A. I. Lvovsky, “Quantum memory for squeezed light,” Phys. Rev. Lett. 100, 093602 (2008).
[CrossRef]

Macke, B.

B. Macke and B. Segard, “Optical precursors in transparent media,” Phys. Rev. A 80, 011803 (2009).
[CrossRef]

Mair, A.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
[CrossRef]

Massou, F.

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

Nikoghosyan, G.

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

Peng, K.-C.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Phillips, D. F.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

Raczynski, A.

A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
[CrossRef]

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

Rudolf, A.

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

Rzepecka, M.

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

Scully, M. O.

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
[CrossRef]

Segard, B.

B. Macke and B. Segard, “Optical precursors in transparent media,” Phys. Rev. A 80, 011803 (2009).
[CrossRef]

Shiau, B.-W.

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Sommerfeld, A.

A. Sommerfeld, “Über die fortpflanzung des lichtes in disperdierenden medien,” Ann. Phys. 349, 177–202 (1914).
[CrossRef]

Tian, X.-X.

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

Venakides, S.

W. R. LeFew, S. Venakides, and D. J. Gauthier, “Accurate description of optical precursors and their relation to weak-field coherent optical transients,” Phys. Rev. A 79, 063842 (2009).
[CrossRef]

Vewinger, F.

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

L. Karpa, F. Vewinger, and M. Weitz, “Resonance beating of light stored using atomic spinor polaritons,” Phys. Rev. Lett. 101, 170406 (2008).
[CrossRef]

Walsworth, R. L.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

Wan, R.-G.

Wang, C.-Y.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Wang, G.

Wang, H.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Wang, H.-H.

Wang, S.

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

Wang, S.-H.

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Wang, T.

T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
[CrossRef]

Wei, D.

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

Weitz, M.

L. Karpa, G. Nikoghosyan, F. Vewinger, M. Fleischhauer, and M. Weitz, “Frequency matching in light-storage spectroscopy of atomic Raman transitions,” Phys. Rev. Lett. 103, 093601 (2009).
[CrossRef]

L. Karpa, F. Vewinger, and M. Weitz, “Resonance beating of light stored using atomic spinor polaritons,” Phys. Rev. Lett. 101, 170406 (2008).
[CrossRef]

Wong, G. K. L.

J. F. Chen, S. Wang, D. Wei, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical coherent transients in cold atoms: from free-induction decay to optical precursors,” Phys. Rev. A 81, 033844 (2010).
[CrossRef]

J. F. Chen, H. Jeong, L. Feng, M. M. T. Loy, G. K. L. Wong, and S. Du, “Stacked optical precursors from amplitude and phase modulations,” Phys. Rev. Lett. 104, 223602 (2010).
[CrossRef]

D. Wei, J. F. Chen, M. M. T. Loy, G. K. L. Wong, and S. Du, “Optical precursors with electromagnetically induced transparency in cold atoms,” Phys. Rev. Lett. 103, 093602 (2009).
[CrossRef]

Wu, J.-H.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

Q. -Q. Bao, J.-W. Gao, C.-L. Cui, G. Wang, Y. Xue, and J.-H. Wu, “Dynamic generation of robust and controlled beating signals in an asymmetric procedure of light storage and retrieval,” Opt. Express 19, 11832–11840 (2011).
[CrossRef]

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

Wu, M.-C.

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Wu, Y.-L.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Xiao, M.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Xie, C.-D.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Xu, Z.-X.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Xue, Y.

Yelin, S. F.

T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
[CrossRef]

M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60, 3225–3228 (1999).
[CrossRef]

Yin, G. Y.

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

Yu, I. A.

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

Y.-H. Chen, M.-J. Lee, W. Hung, Y.-C. Chen, Y.-F. Chen, and I. A. Yu, “Demonstration of the interaction between two stopped light pulses,” Phys. Rev. Lett. 108, 173603 (2012).
[CrossRef]

Y.-F. Chen, C.-Y. Wang, S.-H. Wang, and I. A. Yu, “Low-light-level cross-phase-modulation based on stored light pulses,” Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef]

Zaremba, J.

A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
[CrossRef]

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

Zhang, L.-J.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Zhang, X.-H.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

Zhang, X.-J.

Zhang, Y.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

Zhao, X.-B.

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

Zhu, Y.

H. Kang and Y. Zhu, “Observation of large Kerr nonlinearity at low light intensities,” Phys. Rev. Lett. 91, 093601 (2003).
[CrossRef]

Zibrov, A. S.

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
[CrossRef]

Zielinska-Kaniasty, S.

A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
[CrossRef]

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

Ann. Phys. (2)

A. Sommerfeld, “Über die fortpflanzung des lichtes in disperdierenden medien,” Ann. Phys. 349, 177–202 (1914).
[CrossRef]

L. Brillouin, “Über die fortpflanzung des licht in disperdierenden medien,” Ann. Phys. 349, 203–240 (1914).
[CrossRef]

Appl. Phys. Lett. (1)

B. S. Ham, “Experimental demonstration of all-optical 1×2 quantum routing,” Appl. Phys. Lett. 85, 893–895 (2004).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nature (3)

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
[CrossRef]

M. D. Eisaman, A. Andre, F. Massou, M. Fleischhauer, A. S. Zibrov, and M. D. Lukin, “Electromagnetically induced transparency with tunable single-photon pulses,” Nature 438, 837–841 (2005).
[CrossRef]

K. S. Choi, H. Deng, J. Laurat, and H. J. Kimble, “Mapping photonic entanglement into and out of a quantum memory,” Nature 452, 67–71 (2008).
[CrossRef]

Opt. Commun. (1)

A. Raczynski, M. Rzepecka, J. Zaremba, and S. Zielinska-Kaniasty, “Polariton picture of light propagation and storing in a tripod system,” Opt. Commun. 260, 73–80 (2006).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Phys. Rev. A (16)

I. Friedler and G. Kurizhi, “Deterministic quantum logic with photons via optically induced photonic band gaps,” Phys. Rev. A 71, 023803 (2005).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 65, 022314 (2002).
[CrossRef]

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, “Phase coherence and control of stored photonic information,” Phys. Rev. A 65, 031802 (2002).
[CrossRef]

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, and J.-H. Wu, “Coherent generation and dynamic manipulation of double stationary light pulses in a five-level double-tripod system of cold atoms,” Phys. Rev. A 84, 063812 (2011).
[CrossRef]

H. Wang, S.-J. Li, Z.-X. Xu, X.-B. Zhao, L.-J. Zhang, J.-H. Li, Y.-L. Wu, C.-D. Xie, K.-C. Peng, and M. Xiao, “Quantum interference of stored dual-channel spin-wave excitations in a single tripod system,” Phys. Rev. A 83, 043815 (2011).
[CrossRef]

G. Heinze, A. Rudolf, F. Beil, and T. Halfmann, “Storage of images in atomic coherences in a rare-earth-ion-doped solid,” Phys. Rev. A 81, 011401 (2010).
[CrossRef]

H. Jeong and S. Du, “Two-way transparency in the light-matter interaction: optical precursors with electromagnetically induced transparency,” Phys. Rev. A 79, 011802 (2009).
[CrossRef]

J.-W. Gao, J.-H. Wu, N. Ba, C.-L. Cui, and X.-X. Tian, “Efficient all-optical routing using dynamically induced transparency windows and photonic band gaps,” Phys. Rev. A 81, 013804 (2010).
[CrossRef]

T. Wang, M. Kostrun, and S. F. Yelin, “Multiple beam splitter for single photons,” Phys. Rev. A 70, 053822 (2004).
[CrossRef]

A. Raczynski, J. Zaremba, and S. Zielinska-Kaniasty, “Beam splitting and Hong-Ou-Mandel interference for stored light,” Phys. Rev. A 75, 013810 (2007).
[CrossRef]

D. A. Braje, V. Balic, G. Y. Yin, and S. E. Harris, “Low-light-level nonlinear optics with slow light,” Phys. Rev. A 68, 041801 (2003).
[CrossRef]

C.-C. Lin, M.-C. Wu, B.-W. Shiau, Y.-H. Chen, I. A. Yu, Y.-H. Chen, and Y.-C. Chen, “Enhanced all-optical switching with double slow light pulses,” Phys. Rev. A 86, 063836 (2012).
[CrossRef]

B. Macke and B. Segard, “Optical precursors in transparent media,” Phys. Rev. A 80, 011803 (2009).
[CrossRef]

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Figures (6)

Fig. 1.
Fig. 1.

(a) Four-level quasi-Λ system of cold atoms driven by a strong coupling field ωc, a weak probe field ωp, and a coherent microwave field ωd; (b) an alternative representation of the four-level quasi-Λ system with bare-state levels |3 and |4 replaced by dressed-state levels |a and |b.

Fig. 2.
Fig. 2.

(a) and (c) Quantum probe field |Ep(l,t)|2 at the sample exit as a function of time t (thick red curves). Thin gray curves represent the incident probe field |Ep(0,t)|2 as a reference. (b) and (d) Dynamic evolution of a quantum probe field incident upon a cold atomic sample with the average intensities |Ep(z,t)|2. We have set Gd=0.3MHz in (a) and (b) and Gd=1.0MHz in (c) and (d), with Gc=3.0MHz, Δc=Δd=0, and other relevant parameters given at the beginning of Section 3.

Fig. 3.
Fig. 3.

Quantum probe field at the sample exit as a function of time t with Δd=0.0MHz (red solid), 0.2 MHz (green dashed), and 3.0 MHz (blue dashed–dotted). Other relevant parameters are the same as in Figs. 2(a) and 2(b).

Fig. 4.
Fig. 4.

Quantum probe field at the sample exit as a function of time t with td=9.0μs (red solid) and 10.0 μs (blue dashed). The output field in the case of td=12.0μs exactly coincides with the output field in the case of td=10.0μs. Other relevant parameters are the same as in Fig. 2, except Gd=0.25MHz.

Fig. 5.
Fig. 5.

Energy ratio of the output probe field to the incident probe field as a function of the microwave Rabi frequency with the same parameters as in Figs. 2(a) and 2(b).

Fig. 6.
Fig. 6.

(a) Quantum probe field at the sample exit as a function of time t in the case of a squared incident light pulse with the same parameters as in Figs. 2(c) and 2(d); enlarged views of (b) the up-edge optical precursor, (c) the down-edge optical precursor, and (d) the main-part beating signals.

Equations (8)

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E^p(z,t)=ϵpωp2ε0VEp(z,t)eiωpt+ikpz,
σ^μν(z,t)=1Nzj=1Nzσ^μνj(z,t),
σ^12(z,t)=σ12(z,t)eiωpt,σ^13(z,t)=σ13(z,t)ei(ωpωc)t,σ^14(z,t)=σ14(z,t)ei(ωpωcωd)t,
tσ12=(γ12+iΔp)σ12iΩc*σ13igpEp,tσ13=[γ13+i(ΔpΔc)]σ13iΩd*σ14iΩcσ12,tσ14=[γ14+i(ΔdΔp+Δc1)]σ41iΩd*σ31,
(t+cz)Ep(z,t)=igpNσ12(z,t),
(t+ccos2θz)Ψ(z,t)=0
Ψ(z,t)=cosθEp(z,t)sinθNσ13(z,t),
Ψa(z,t)=eiΔ1tcosθEp1(z,t)sinθNσ1a(z,t),Ψb(z,t)=eiΔ2tcosθEp2(z,t)sinθNσ1b(z,t),

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