Abstract

We propose a scheme for robust writing and storage of optical phase information in populations of metastable states of the atoms with a tripod structure of levels by using frequency-chirped laser pulses. The method provides much longer storage times compared with the schemes based on the collective atomic spin coherences. A negligible excitation of the atom provides immunity to decoherence induced by decay of the excited states. The method is robust against small-to-medium variations in the laser pulse intensity and speed of the chirp and, being insensitive to resonance conditions, it is effective both in homogeneously and inhomogeneously broadened media.

© 2009 Optical Society of America

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  1. M. D. Lukin, “Trapping and manipulating photon states in atomic ensembles,” Rev. Mod. Phys. 75, 457-472 (2003).
    [CrossRef]
  2. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, “EIT: optics in coherent media,” Rev. Mod. Phys. 77, 633-673 (2005).
    [CrossRef]
  3. P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
    [CrossRef]
  4. R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
    [CrossRef] [PubMed]
  5. P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
    [CrossRef] [PubMed]
  6. R. Pugatch, M. Shuker, O. Firstenberg, A. Ron, and N. Davidson, “Topological stability of stored optical vortices,” Phys. Rev. Lett. 98, 203601 (2007).
    [CrossRef] [PubMed]
  7. M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
    [CrossRef]
  8. A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
    [CrossRef] [PubMed]
  9. M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
    [CrossRef]
  10. 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]
  11. A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
    [CrossRef]
  12. M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 62, 022314 (2002).
    [CrossRef]
  13. E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
    [CrossRef]
  14. M. Johnson and K. Molmer, “Storing quantum information in a solid using dark-state polaritons,” Phys. Rev. A 70, 032320 (2004).
    [CrossRef]
  15. Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
    [CrossRef]
  16. G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent writing and reading of information using frequency-chirped short bichromatic laser pulses,” Opt. Express 4, 113-120 (1999).
    [CrossRef] [PubMed]
  17. G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
    [CrossRef]
  18. G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
    [CrossRef]
  19. G. P. Djotyan, J. S. Bakos, Zs. Sörlei, J. Szigeti, and D. Dzsotjan, “Creation of a coherent superposition of quantum states by a single frequency-chirped short laser pulse,” J. Opt. Soc. Am. B 25, 166-174 (2008).
    [CrossRef]
  20. L. Press, Optical Storage (Wiley, 2003), pp. 1336-1339.
  21. R. E. Blahut, Theory of Remote Image Formation (Cambridge Univ. Press, 2004), pp. 139-146.
  22. C. H. Chen, Signal and Image Processing for Remote Sensing (CRC Press/Taylor & Francis, 2006).
    [CrossRef]
  23. A. Messiah, Quantum Mechanics (North-Holland, 1962), Vol. II.
  24. B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, 1990).

2008 (2)

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef] [PubMed]

G. P. Djotyan, J. S. Bakos, Zs. Sörlei, J. Szigeti, and D. Dzsotjan, “Creation of a coherent superposition of quantum states by a single frequency-chirped short laser pulse,” J. Opt. Soc. Am. B 25, 166-174 (2008).
[CrossRef]

2007 (4)

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

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
[CrossRef]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

2005 (1)

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

2004 (3)

M. Johnson and K. Molmer, “Storing quantum information in a solid using dark-state polaritons,” Phys. Rev. A 70, 032320 (2004).
[CrossRef]

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
[CrossRef]

2003 (1)

M. D. Lukin, “Trapping and manipulating photon states in atomic ensembles,” Rev. Mod. Phys. 75, 457-472 (2003).
[CrossRef]

2002 (3)

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 62, 022314 (2002).
[CrossRef]

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

2001 (1)

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
[CrossRef]

2000 (2)

A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
[CrossRef]

M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
[CrossRef]

1999 (1)

1995 (1)

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

Ali-Khan, I.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

Bakos, J. S.

G. P. Djotyan, J. S. Bakos, Zs. Sörlei, J. Szigeti, and D. Dzsotjan, “Creation of a coherent superposition of quantum states by a single frequency-chirped short laser pulse,” J. Opt. Soc. Am. B 25, 166-174 (2008).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent writing and reading of information using frequency-chirped short bichromatic laser pulses,” Opt. Express 4, 113-120 (1999).
[CrossRef] [PubMed]

Ben-Kish, A.

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

Blahut, R. E.

R. E. Blahut, Theory of Remote Image Formation (Cambridge Univ. Press, 2004), pp. 139-146.

Broadbent, C. J.

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

Camacho, R. M.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

Chen, C. H.

C. H. Chen, Signal and Image Processing for Remote Sensing (CRC Press/Taylor & Francis, 2006).
[CrossRef]

Davidson, N.

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (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] [PubMed]

Djotyan, G. P.

G. P. Djotyan, J. S. Bakos, Zs. Sörlei, J. Szigeti, and D. Dzsotjan, “Creation of a coherent superposition of quantum states by a single frequency-chirped short laser pulse,” J. Opt. Soc. Am. B 25, 166-174 (2008).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent writing and reading of information using frequency-chirped short bichromatic laser pulses,” Opt. Express 4, 113-120 (1999).
[CrossRef] [PubMed]

Dutton, Z.

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

Dzsotjan, D.

Firstenberg, O.

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (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] [PubMed]

Fleischhauer, M.

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

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 62, 022314 (2002).
[CrossRef]

M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
[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]

Harris, S. E.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

Hau, L. V.

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

Hemmer, P.

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

Howell, J. C.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

Imamoglu, A.

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

Jain, M.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

Johnson, M.

M. Johnson and K. Molmer, “Storing quantum information in a solid using dark-state polaritons,” Phys. Rev. A 70, 032320 (2004).
[CrossRef]

Kasapi, A.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

Kocharovskaya, O.

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

Kozhekin, A. E.

A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
[CrossRef]

Král, P.

P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
[CrossRef]

Kuznetsova, E.

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

Lukin, M. D.

M. D. Lukin, “Trapping and manipulating photon states in atomic ensembles,” Rev. Mod. Phys. 75, 457-472 (2003).
[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, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 62, 022314 (2002).
[CrossRef]

M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
[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, “EIT: optics in coherent media,” Rev. Mod. Phys. 77, 633-673 (2005).
[CrossRef]

Messiah, A.

A. Messiah, Quantum Mechanics (North-Holland, 1962), Vol. II.

Molmer, K.

M. Johnson and K. Molmer, “Storing quantum information in a solid using dark-state polaritons,” Phys. Rev. A 70, 032320 (2004).
[CrossRef]

A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
[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]

Polzik, E.

A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
[CrossRef]

Press, L.

L. Press, Optical Storage (Wiley, 2003), pp. 1336-1339.

Pugach, R.

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

Pugatch, R.

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

Ron, A.

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

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

Scully, M. O.

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

Shapiro, M.

P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
[CrossRef]

Shore, B. W.

B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, 1990).

Shuker, M.

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

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

Sörlei, Zs.

G. P. Djotyan, J. S. Bakos, Zs. Sörlei, J. Szigeti, and D. Dzsotjan, “Creation of a coherent superposition of quantum states by a single frequency-chirped short laser pulse,” J. Opt. Soc. Am. B 25, 166-174 (2008).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent writing and reading of information using frequency-chirped short bichromatic laser pulses,” Opt. Express 4, 113-120 (1999).
[CrossRef] [PubMed]

Szigeti, J.

Thanopulos, I.

P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
[CrossRef]

Vudyasetu, P. K.

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef] [PubMed]

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]

Yelin, S. F.

M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
[CrossRef]

Yin, G. Y.

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

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

Opt. Commun. (1)

M. Fleischhauer, S. F. Yelin, and M. D. Lukin, “How to trap photons? Storing single-photon quantum states in collective atomic excitations,” Opt. Commun. 179, 395-410 (2000).
[CrossRef]

Opt. Express (1)

Phys. Rev. A (9)

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]

A. E. Kozhekin, K. Molmer, and E. Polzik, “Quantum memory for light,” Phys. Rev. A 62, 033809 (2000).
[CrossRef]

M. Fleischhauer and M. D. Lukin, “Quantum memory for photons: dark-state polaritons,” Phys. Rev. A 62, 022314 (2002).
[CrossRef]

E. Kuznetsova, O. Kocharovskaya, P. Hemmer, and M. O. Scully, “Atomic interference phenomena in solids with a long-lived spin coherence,” Phys. Rev. A 66, 063802 (2002).
[CrossRef]

M. Johnson and K. Molmer, “Storing quantum information in a solid using dark-state polaritons,” Phys. Rev. A 70, 032320 (2004).
[CrossRef]

Z. Dutton and L. V. Hau, “Storing and processing optical information with ultraslow light in Bose-Einstein condensates,” Phys. Rev. A 70, 053831 (2004).
[CrossRef]

M. Shuker, O. Firstenberg, R. Pugach, A. Ben-Kish, A. Ron, and N. Davidson, “Angular dependence of Dicke-narrowed electromagnetically induced transparency resonances,” Phys. Rev. A 76, 023813 (2007).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Three-level Λ atom in the field of frequency-chirped bichromatic laser pulses, writing and storage of optical phase information,” Phys. Rev. A 64, 013408 (2001).
[CrossRef]

G. P. Djotyan, J. S. Bakos, and Zs. Sörlei, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004)
[CrossRef]

Phys. Rev. Lett. (4)

A. Kasapi, M. Jain, G. Y. Yin, and S. E. Harris, “Electromagnetically induced transparency: propagation dynamics,” Phys. Rev. Lett. 74, 2447-2450 (1995).
[CrossRef] [PubMed]

R. M. Camacho, C. J. Broadbent, I. Ali-Khan, and J. C. Howell, “All-optical delay of images using slow light,” Phys. Rev. Lett. 98, 043902 (2007).
[CrossRef] [PubMed]

P. K. Vudyasetu, R. M. Camacho, and J. C. Howell, “Storage and retreaval of multimode transverse images in hot atomic rubidium vapor,” Phys. Rev. Lett. 100, 123903 (2008).
[CrossRef] [PubMed]

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

Rev. Mod. Phys. (3)

M. D. Lukin, “Trapping and manipulating photon states in atomic ensembles,” Rev. Mod. Phys. 75, 457-472 (2003).
[CrossRef]

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

P. Král, I. Thanopulos, and M. Shapiro, “Coherently controlled adiabatic passage,” Rev. Mod. Phys. 79, 53-77 (2007).
[CrossRef]

Other (5)

L. Press, Optical Storage (Wiley, 2003), pp. 1336-1339.

R. E. Blahut, Theory of Remote Image Formation (Cambridge Univ. Press, 2004), pp. 139-146.

C. H. Chen, Signal and Image Processing for Remote Sensing (CRC Press/Taylor & Francis, 2006).
[CrossRef]

A. Messiah, Quantum Mechanics (North-Holland, 1962), Vol. II.

B. W. Shore, The Theory of Coherent Atomic Excitation (Wiley, 1990).

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Figures (6)

Fig. 1
Fig. 1

Level structure of the tripod atom and the interacting laser pulses. Inset, Gaussian laser pulse with positive linear chirp.

Fig. 2
Fig. 2

Dynamics of the atomic populations for two different values of the relative phase Δ φ 12 = φ 2 φ 1 between the two laser pulses in Raman resonance: (a) Δ φ 12 = 0 , (b) Δ φ 12 = π 2 : n 0 is the population of the excited state, n 1 and n 2 are populations of states |1⟩ and |2⟩ coupled by the two laser pulses in Raman resonance, and n 3 is the population of state |3⟩. The following parameters are applied: τ L = 10 × 2 ln 2 ns , the amplitudes of the Rabi frequencies | R 1 | = 15 GHz , | R 2 | = 15 GHz , and | R 3 | = 22 GHz , the speed of chirp α = 5 GHz/ns, and the Raman-detuning of the third laser pulse Δ 31 = 1 GHz . (c) Dynamics of the population of state |1⟩ for three different values of the central frequency detuning Δ 1 = Δ 2 = δ of the laser frequencies from the resonance atomic frequencies: δ = −75, 0, 75 GHz.

Fig. 3
Fig. 3

Evolution of (a) the quasienergies (the adiabatic eigenvalues of the Hamiltonian H [see Eqs. (5, 8)] and of (b) the populations n k of the adiabatic dressed states | g k [in the dark–bright basis, see Eq. (6)] ( k = 1 , , 4 ) during the action of the frequency-chirped laser pulses. Dashed lines are the diabatic lines, f ( t ) = exp [ ( t 10 ) 2 ] . The parameters applied are the same as in Fig. 2.

Fig. 4
Fig. 4

Dependence of the final populations of the states (points) on the relative phase of the laser pulses in Raman resonance with fitting curve (solid). The parameters applied are the same as in Fig. 2.

Fig. 5
Fig. 5

Dependence of the final population of metastable state |3⟩on the peak amplitude R 3 of the laser pulse out of Raman resonance and the relative phase Δ φ 21 between the two pulses in Raman resonance. The applied parameters are the same as in Fig. 2.

Fig. 6
Fig. 6

Schematic of the phase information writing in and reading out from the populations of the atomic states. The phase information mapped in the transverse distribution of the population of the metastable state |3⟩ is transferred into the transverse distribution of the intensity of the reading pulse. The initial transverse phase mask is framed by the image of letters RMKI.

Equations (21)

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i d d t a = H ̂ a ,
H ̂ = ( Δ 1 α t Ω 1 * ( t ) Ω 2 * ( t ) Ω 3 * ( t ) Ω 1 ( t ) 0 0 0 Ω 2 ( t ) 0 Δ 21 0 Ω 3 ( t ) 0 0 Δ 31 ) ,
S = ( 0 R 2 r 12 R 1 r 12 0 0 R 1 * r 12 R 2 * r 12 0 1 0 0 0 0 0 0 1 ) ,
i d d t u = H ̃ u ,
H ̃ = S H ̂ S 1 = ( 0 0 0 0 0 0 0 r 12 f ( t ) 0 0 δ ( t ) R 3 f ( t ) 0 r 12 f ( t ) R 3 * f ( t ) ϵ ( t ) ) ,
| g 1 = R 2 * | 1 R 1 * | 2 r 12 , | g 2 = R 1 | 1 + R 2 | 2 r 12 ,
| g 3 = | 3 , | g 4 = | 0 .
d d t u 1 = 0 ,
d d t u 2 = i r 12 f ( t ) u 4 ,
d d t u 3 = i [ δ u 3 + R 3 f ( t ) u 4 ] ,
d d t u 4 = i [ r 12 f ( t ) u 2 + R 3 * f ( t ) u 3 + ϵ ( t ) u 4 ] .
Ψ ̃ = k r k b k ( t ) exp [ i t λ k ( t ) d t ] ,
Ψ ̃ ( ) = k r k ( ) b k ( ) ,
H ̃ b k = λ k b k ,
λ [ λ 3 λ 2 ( δ + ϵ ( t ) ) λ ( Ω 12 2 + Ω 3 2 δ ϵ ( t ) ) + Ω 12 2 δ ] = 0 ,
b ( 1 ) = ( 1 0 0 0 ) T ,
b ( k ) = ( 0 Ω 12 λ k N ( Ω 12 2 + λ k [ ϵ ( t ) λ k ] ) λ k Ω 3 N 1 N ) ,
N = 1 + ( Ω 12 λ k ) 2 + ( ( Ω 12 2 + λ k [ ϵ ( t ) λ k ] ) λ k Ω 3 ) 2 ( k = 2 , 3 , 4 ) .
0 λ 3 δ .
b 4 ( k ) b 2 ( k ) = λ k Ω 12 , b 3 ( k ) b 2 ( k ) = [ Ω 12 2 + λ k ( ϵ ( t ) λ k ) ] Ω 12 Ω 3 .
P ( Δ φ 12 ) = A sin 2 ( Δ φ 12 ϕ c 2 ) + c ,

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