Abstract

We study the dynamic processes of reversible dual-channel light memory in a double-tripod atomic system by modulating only a pair of counterpropagating control fields in time. We find that two pairs of stationary light pulses (SLPs) can be simultaneously generated when we switch on both control fields after storage. Two incident signal fields in two channels can be released either simultaneously from the same surface of the sample, or at different times from the same or different surfaces of the sample, depending on the time modulation of the two control fields, the time sequence of the input signal fields, and the group velocities of the signal fields propagating in medium, which could be successfully manipulated in each channel. Comparing with the light storage in spin-wave excitations, the SLPs may suffer a little space-dependent diffusion but maintain optical components required for nonlinear optical interactions. These results could be used to study the enhanced low-noises nonlinear interaction between dual-channel SLPs, which can maximize the interaction time. Besides, this scheme could also be explored to design synchronous multitasking information processing during light memory processes at low-light even below single-photon level.

© 2013 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Stationary pulses of light in an atomic medium,” Nature 426, 638–641 (2003).
    [CrossRef]
  4. S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50(7), 36–42 (1997).
    [CrossRef]
  5. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “Electromagnetically induced transparency: optics in coherent media,” Rev. Mod. Phys. 77, 633–673 (2005).
    [CrossRef]
  6. C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulsed,” Nature 409, 490–493 (2001).
    [CrossRef]
  7. T. Chanelière, D. N. Matsukevich, S. D. Jenkins, S.-Y. Lan, T. A. B. Kennedy, and A. Kuzmich, “Storage and retrieval of single photons transmitted between remote quantum memories,” Nature 438, 833–836 (2005).
    [CrossRef]
  8. R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, and N. Davidson, “Topological stability of stored optical vortices,” Phys. Rev. Lett. 98, 203601 (2007).
    [CrossRef]
  9. 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]
  10. T. Peters, Y.-H. Chen, J.-S. Wang, Y.-W. Lin, and I. A. Yu, “Optimizing the retrieval efficiency of stored light pulses,” Opt. Express 17, 6665–6675 (2009).
    [CrossRef]
  11. K. R. Hansen and K. Molmer, “Trapping of light pulses in ensembles of stationary Λ atoms,” Phys. Rev. A 75, 053802 (2007).
    [CrossRef]
  12. Y.-W. Lin, W.-T. Liao, T. Peters, H.-C. Chou, J.-S. Wang, H.-W. Cho, P.-C. Kuan, and I. A. Yu, “Stationary light pulses in cold atomic media and without Bragg gratings,” Phys. Rev. Lett. 102, 213601 (2009).
    [CrossRef]
  13. J.-H. Wu, M. Artoni, and G. C. La Rocca, “Decay of stationary light pulses in ultracold atoms,” Phys. Rev. A 81, 033822 (2010).
    [CrossRef]
  14. J.-H. Wu, M. Artoni, and G. C. La Rocca, “Stationary light pulses in cold thermal atomic clouds,” Phys. Rev. A 82, 013807 (2010).
    [CrossRef]
  15. A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Nonlinear optics with stationary pulses of light,” Phys. Rev. Lett. 94, 063902 (2005).
    [CrossRef]
  16. T. Peters, Y.-H. Chen, J.-S. Wang, Y.-W. Lin, and I. A. Yu, “Observation of phase variation within stationary light pulses inside a cold atomic medium,” Opt. Lett. 35, 151–153 (2010).
    [CrossRef]
  17. C. Hang and G.-X. Huang, “Giant Kerr nonlinearity and weak-light superluminal optical solitons in a four-state atomic system with gain doublet,” Opt. Express 18, 2952–2966 (2010).
    [CrossRef]
  18. Y.-H. Chen, M.-J. Lee, W.-L. 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]
  19. 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]
  20. S. A. Moiseev and B. S. Ham, “Quantum manipulation of two-color stationary light: quantum wavelength conversion,” Phys. Rev. A 73, 033812 (2006).
    [CrossRef]
  21. S. A. Moiseev, Y. Chen, and B. S. Ham, “Numerical analysis of stationary light for potential applications of quantum interface,” J. Korean Phys. Soc. 49, 2293–2302 (2006).
  22. Y. Zhang, Y. Zhang, X.-H. Zhang, M. Yu, C.-L. Cui, and J.-H. Wu, “Efficient generation and control of robust stationary light signals in a double-Λ system of cold atoms,” Phys. Lett. A 376, 656–661 (2012).
    [CrossRef]
  23. S. A. Moiseev and B. S. Ham, “Quantum control and manipulations of three-color stationary light,” J. Korean Phys. Soc. 48, 540–545 (2006).
  24. B. S. Ham, “Quantum control and manipulation of multi-color light fields,” Opt. Spectrosc. 103, 210–218 (2007).
    [CrossRef]
  25. A. Joshi and M. Xiao, “Generalized dark-state polaritons for photon memory in multilevel atomic media,” Phys. Rev. A 71, 041801 (2005).
    [CrossRef]
  26. 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]
  27. Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, C.-L. Cui, 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]
  28. S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004).
    [CrossRef]
  29. C.-L. Cui, J.-K. Jia, J.-W. Gao, Y. Xue, G. Wang, and J.-H. Wu, “Ultraslow and superluminal light propagation in a four-level atomic system,” Phys. Rev. A 76, 033815 (2007).
    [CrossRef]

2012 (2)

Y.-H. Chen, M.-J. Lee, W.-L. 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. Zhang, Y. Zhang, X.-H. Zhang, M. Yu, C.-L. Cui, and J.-H. Wu, “Efficient generation and control of robust stationary light signals in a double-Λ system of cold atoms,” Phys. Lett. A 376, 656–661 (2012).
[CrossRef]

2011 (2)

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]

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, C.-L. Cui, 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]

2010 (6)

J.-H. Wu, M. Artoni, and G. C. La Rocca, “Decay of stationary light pulses in ultracold atoms,” Phys. Rev. A 81, 033822 (2010).
[CrossRef]

J.-H. Wu, M. Artoni, and G. C. La Rocca, “Stationary light pulses in cold thermal atomic clouds,” Phys. Rev. A 82, 013807 (2010).
[CrossRef]

T. Peters, Y.-H. Chen, J.-S. Wang, Y.-W. Lin, and I. A. Yu, “Observation of phase variation within stationary light pulses inside a cold atomic medium,” Opt. Lett. 35, 151–153 (2010).
[CrossRef]

C. Hang and G.-X. Huang, “Giant Kerr nonlinearity and weak-light superluminal optical solitons in a four-state atomic system with gain doublet,” Opt. Express 18, 2952–2966 (2010).
[CrossRef]

K. Hammerer, A. S. Sørensen, and E. S. Polzik, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

2009 (2)

Y.-W. Lin, W.-T. Liao, T. Peters, H.-C. Chou, J.-S. Wang, H.-W. Cho, P.-C. Kuan, and I. A. Yu, “Stationary light pulses in cold atomic media and without Bragg gratings,” Phys. Rev. Lett. 102, 213601 (2009).
[CrossRef]

T. Peters, Y.-H. Chen, J.-S. Wang, Y.-W. Lin, and I. A. Yu, “Optimizing the retrieval efficiency of stored light pulses,” Opt. Express 17, 6665–6675 (2009).
[CrossRef]

2008 (1)

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]

2007 (5)

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]

C.-L. Cui, J.-K. Jia, J.-W. Gao, Y. Xue, G. Wang, and J.-H. Wu, “Ultraslow and superluminal light propagation in a four-level atomic system,” Phys. Rev. A 76, 033815 (2007).
[CrossRef]

K. R. Hansen and K. Molmer, “Trapping of light pulses in ensembles of stationary Λ atoms,” Phys. Rev. A 75, 053802 (2007).
[CrossRef]

R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, and N. Davidson, “Topological stability of stored optical vortices,” Phys. Rev. Lett. 98, 203601 (2007).
[CrossRef]

B. S. Ham, “Quantum control and manipulation of multi-color light fields,” Opt. Spectrosc. 103, 210–218 (2007).
[CrossRef]

2006 (3)

S. A. Moiseev and B. S. Ham, “Quantum control and manipulations of three-color stationary light,” J. Korean Phys. Soc. 48, 540–545 (2006).

S. A. Moiseev and B. S. Ham, “Quantum manipulation of two-color stationary light: quantum wavelength conversion,” Phys. Rev. A 73, 033812 (2006).
[CrossRef]

S. A. Moiseev, Y. Chen, and B. S. Ham, “Numerical analysis of stationary light for potential applications of quantum interface,” J. Korean Phys. Soc. 49, 2293–2302 (2006).

2005 (4)

A. Joshi and M. Xiao, “Generalized dark-state polaritons for photon memory in multilevel atomic media,” Phys. Rev. A 71, 041801 (2005).
[CrossRef]

T. Chanelière, D. N. Matsukevich, S. D. Jenkins, S.-Y. Lan, T. A. B. Kennedy, and A. Kuzmich, “Storage and retrieval of single photons transmitted between remote quantum memories,” Nature 438, 833–836 (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]

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Nonlinear optics with stationary pulses of light,” Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef]

2004 (1)

S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004).
[CrossRef]

2003 (1)

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

2001 (1)

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulsed,” Nature 409, 490–493 (2001).
[CrossRef]

1997 (1)

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50(7), 36–42 (1997).
[CrossRef]

Afzelius, M.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

André, A.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Nonlinear optics with stationary pulses of light,” Phys. Rev. Lett. 94, 063902 (2005).
[CrossRef]

Appel, J.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

Artoni, M.

J.-H. Wu, M. Artoni, and G. C. La Rocca, “Stationary light pulses in cold thermal atomic clouds,” Phys. Rev. A 82, 013807 (2010).
[CrossRef]

J.-H. Wu, M. Artoni, and G. C. La Rocca, “Decay of stationary light pulses in ultracold atoms,” Phys. Rev. A 81, 033822 (2010).
[CrossRef]

S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Bajcsy, M.

A. André, M. Bajcsy, A. S. Zibrov, and M. D. Lukin, “Nonlinear optics with stationary pulses of light,” Phys. Rev. Lett. 94, 063902 (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]

Bao, Q.-Q.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, C.-L. Cui, 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]

Behroozi, C. H.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulsed,” Nature 409, 490–493 (2001).
[CrossRef]

Cataliotti, F.

S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Chanelière, T.

T. Chanelière, D. N. Matsukevich, S. D. Jenkins, S.-Y. Lan, T. A. B. Kennedy, and A. Kuzmich, “Storage and retrieval of single photons transmitted between remote quantum memories,” Nature 438, 833–836 (2005).
[CrossRef]

Chen, Y.

S. A. Moiseev, Y. Chen, and B. S. Ham, “Numerical analysis of stationary light for potential applications of quantum interface,” J. Korean Phys. Soc. 49, 2293–2302 (2006).

Chen, Y.-C.

Y.-H. Chen, M.-J. Lee, W.-L. 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.-L. 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.-H.

Cho, H.-W.

Y.-W. Lin, W.-T. Liao, T. Peters, H.-C. Chou, J.-S. Wang, H.-W. Cho, P.-C. Kuan, and I. A. Yu, “Stationary light pulses in cold atomic media and without Bragg gratings,” Phys. Rev. Lett. 102, 213601 (2009).
[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]

Chou, H.-C.

Y.-W. Lin, W.-T. Liao, T. Peters, H.-C. Chou, J.-S. Wang, H.-W. Cho, P.-C. Kuan, and I. A. Yu, “Stationary light pulses in cold atomic media and without Bragg gratings,” Phys. Rev. Lett. 102, 213601 (2009).
[CrossRef]

Corbalán, R.

S. Rebić, D. Vitali, C. Ottaviani, P. Tombesi, M. Artoni, F. Cataliotti, and R. Corbalán, “Polarization phase gate with a tripod atomic system,” Phys. Rev. A 70, 032317 (2004).
[CrossRef]

Cui, C.-L.

Y. Zhang, Y. Zhang, X.-H. Zhang, M. Yu, C.-L. Cui, and J.-H. Wu, “Efficient generation and control of robust stationary light signals in a double-Λ system of cold atoms,” Phys. Lett. A 376, 656–661 (2012).
[CrossRef]

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, C.-L. Cui, 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]

C.-L. Cui, J.-K. Jia, J.-W. Gao, Y. Xue, G. Wang, and J.-H. Wu, “Ultraslow and superluminal light propagation in a four-level atomic system,” Phys. Rev. A 76, 033815 (2007).
[CrossRef]

Davidson, N.

R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, and N. Davidson, “Topological stability of stored optical vortices,” Phys. Rev. Lett. 98, 203601 (2007).
[CrossRef]

de la Giroday, A. B.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

de Reidmatten, H.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[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]

Dewhurst, S. J.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

Dutton, Z.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulsed,” Nature 409, 490–493 (2001).
[CrossRef]

Firstenberg, O.

R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, and N. Davidson, “Topological stability of stored optical vortices,” Phys. Rev. Lett. 98, 203601 (2007).
[CrossRef]

Fleischhauer, M.

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

Gao, J.-W.

C.-L. Cui, J.-K. Jia, J.-W. Gao, Y. Xue, G. Wang, and J.-H. Wu, “Ultraslow and superluminal light propagation in a four-level atomic system,” Phys. Rev. A 76, 033815 (2007).
[CrossRef]

Gao, J.-Y.

Q.-Q. Bao, X.-H. Zhang, J.-Y. Gao, Y. Zhang, C.-L. Cui, 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]

Gisin, N.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

Ham, B. S.

B. S. Ham, “Quantum control and manipulation of multi-color light fields,” Opt. Spectrosc. 103, 210–218 (2007).
[CrossRef]

S. A. Moiseev and B. S. Ham, “Quantum control and manipulations of three-color stationary light,” J. Korean Phys. Soc. 48, 540–545 (2006).

S. A. Moiseev and B. S. Ham, “Quantum manipulation of two-color stationary light: quantum wavelength conversion,” Phys. Rev. A 73, 033812 (2006).
[CrossRef]

S. A. Moiseev, Y. Chen, and B. S. Ham, “Numerical analysis of stationary light for potential applications of quantum interface,” J. Korean Phys. Soc. 49, 2293–2302 (2006).

Hammerer, K.

K. Hammerer, A. S. Sørensen, and E. S. Polzik, “Quantum interface between light and atomic ensembles,” Rev. Mod. Phys. 82, 1041–1093 (2010).
[CrossRef]

Hang, C.

Hansen, K. R.

K. R. Hansen and K. Molmer, “Trapping of light pulses in ensembles of stationary Λ atoms,” Phys. Rev. A 75, 053802 (2007).
[CrossRef]

Harris, S. E.

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50(7), 36–42 (1997).
[CrossRef]

Hau, L. V.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, “Observation of coherent optical information storage in an atomic medium using halted light pulsed,” Nature 409, 490–493 (2001).
[CrossRef]

Hu, C. Y.

C. Simon, M. Afzelius, J. Appel, A. B. de la Giroday, S. J. Dewhurst, N. Gisin, C. Y. Hu, F. Jelezko, S. Kroll, J. H. Muller, J. Nunn, E. Polzik, J. Rarity, H. de Reidmatten, W. Rosenfeld, A. J. Shields, N. Skold, R. M. Stevenson, R. Thew, I. Walmsley, M. Weber, H. Weinfurter, J. Wrachtrup, and R. J. Young, “Quantum memories: a review based on the European integrated project ‘Qubit Applications (QAP)’,” Eur. Phys. J. D 58, 1–22 (2010).
[CrossRef]

Huang, G.-X.

Hung, W.-L.

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Figures (5)

Fig. 1.
Fig. 1.

Schematic diagram of a five-level double-tripod atomic system interacting with two pairs of counterpropagating signal fields EA± and EB±, and a pair of counterpropagating coupling fields Ec±.

Fig. 2.
Fig. 2.

Time modulation of the FW control field Ωc+/Ωc0 (gray solid), the BW control field Ωc+/Ωc0 (black dashed–dotted), and two incident signal fields A+ΩA+/Ω0 (blue dashed) and B+ΩB+/Ω0 (red dotted) in (a) and (b); dynamic propagation and evolution of the FW signal fields A+ΩA+/Ω0 in (c) and (g), and B+ΩB+/Ω0 in (e) and (i); dynamic propagation and evolution of the BW signal fields AΩA/Ω0 in (d) and (h), and BΩB/Ω0 in (f) and (j). The incident signal fields have Gaussian profile ΩA+(t)=Ω0exp[(ttA)2/τ2], ΩB+(t)=(1/2)Ω0exp[(ttB)2/τ2] with Ω0=0.01MHz, tA=tB=5.0μs, and τ=2.0μs. Relevant parameters are Ωc0=8MHz, γ21=1.0kHz, Γ41=Γ42=Γ43=Γ51=Γ52=Γ53=5.75MHz, Δc±=δ1=δ2=0, λA±=λB±=λc±=795.0nm, d41=d43=d51=d52=1.0×1029C·m, and N=2.0×1013cm3.

Fig. 3.
Fig. 3.

Time modulation of the FW control field Ωc+/Ωc0 (gray solid), the BW control field Ωc+/Ωc0 (black dashed–dotted), and two incident signal fields A+ΩA+/Ω0 (blue dashed) and B+ΩB+/Ω0 (red dotted) in (a) and (c); dynamic propagation and evolution of the FW signal fields A(ΩA++ΩA)/Ω0 and B(ΩB++ΩB)/Ω0 in (b) and (d). The incident signal fields have Gaussian profile ΩA+(t)=Ω0exp[(ttA)2/τ2], ΩB+(t)=Ω0exp[(ttB)2/τ2] with Ω0=0.01MHz, tA=2.0μs, tB=10.0μs, and τ=2.0μs. The other relevant parameters are the same as Fig. 2 except Ωc0=9MHz.

Fig. 4.
Fig. 4.

Dynamic propagation and evolution of the FW signal fields A(ΩA++ΩA)/Ω0 and B(ΩB++ΩB)/Ω0 in (a) and (b). The FW and BW control fields are modulated as in Fig. 3(a) for (a) but as in Fig. 3(c) for (b). The incident signal fields have the same Gaussian profile ΩA+(t)=ΩB+(t)=Ω0exp[(tt0)2/τ2] with Ω0=0.01MHz, t0=5μs, and τ=2.0μs. The other relevant parameters are the same as Fig. 2, except Γ43=Γ53=2.88MHz in (a) and ρ11(0)=1.5ρ33(0) in (b).

Fig. 5.
Fig. 5.

Incident signal field (black solid) and released signal fields (blue dashed and red dotted) versus time T. The incident signal fields have the same Gaussian profile ΩA+(t)=Ω0exp[(tt0)2/τ2] with Ω0=0.01MHz, ΩB+(t)=0, t0=5μs, and τ=2.0μs. The other relevant parameters are the same as Fig. 2.

Equations (5)

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Ec±(z,t)=Fc±(t)e±ikcz
EA±(z,t)=FA±(z,t)e±ikczEB±(z,t)=FB±(z,t)e±ikcz,
HIntI=(000ΩA+*ΩA*0δ10Ωc+*Ωc*00δ1δ2ΩB+*ΩB*ΩA+Ωc+ΩB+δ1Δc+0ΩAΩcΩB0δ1Δc),
tρ11=iΩA+*ρ41iΩA+ρ14+iΩA*ρ51iΩAρ15+Γ41ρ44+Γ51ρ55tρ22=iΩc+*ρ42iΩc+ρ24+iΩc*ρ52iΩcρ25+Γ42ρ44+Γ52ρ55tρ33=iΩB+*ρ43iΩB+ρ34+iΩB*ρ53iΩBρ35+Γ43ρ33+Γ53ρ55tρ44=iΩA+ρ14iΩA+*ρ41+iΩc+ρ24iΩc+*ρ42+iΩB+ρ34iΩB+*ρ32Γ41ρ44Γ42ρ44Γ43ρ44tρ12=[γ21+iδ1]ρ12iΩc+ρ14iΩcρ15+iΩA+*ρ42+iΩA*ρ52tρ13=[γ31+iδ2]ρ13iΩB+ρ14iΩBρ15+iΩA+*ρ43+iΩA*ρ53tρ14=[γ41+i(δ1Δc+)]ρ14iΩc+*ρ12iΩB+*ρ13+iΩA*ρ54+iΩA+*(ρ44ρ11)tρ15=[γ51+i(δ1Δc)]ρ15iΩc*ρ12iΩB*ρ13+iΩA+*ρ45+iΩA*(ρ55ρ11)tρ23=[γ32iδ2]ρ23+iΩc+*ρ43iΩB+ρ24+iΩc*ρ53iΩBρ25tρ24=[γ42iΔc+]ρ24iΩA+*ρ21iΩB+*ρ23+iΩc*ρ54+iΩc+*(ρ44ρ22)tρ25=[γ52iΔc]ρ25iΩA*ρ21iΩB*ρ23+iΩc+*ρ45+iΩc*(ρ55ρ22)tρ34=[γ43+i(δ2Δc+)]ρ34iΩA+*ρ31iΩc+*ρ32+iΩB*ρ54+iΩB+*(ρ44ρ33)tρ35=[γ42+i(δ2Δc)]ρ35iΩA*ρ31iΩc*ρ32+iΩB+*ρ45+iΩB*(ρ55ρ33)tρ45=[γ54+i(Δc+Δc)]ρ45+iΩA+ρ15iΩA*ρ41+iΩc+ρ25iΩc*ρ42+iΩB+ρ35iΩB*ρ43,
ΩA+z=+iΔkA+ΩA+1cΩA+t+iγ41α+2ρ41ΩAz=iΔkAΩA+1cΩAtiγ51α2ρ51ΩB+z=+iΔkB+ΩB+1cΩB+t+iγ43β+2ρ43ΩBz=iΔkBΩB+1cΩBtiγ53β2ρ53,

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