Abstract

We observed the transient oscillation in the spectra of electromagnetically induced transparency by rapidly sweeping the probe laser frequency. The spectra were measured with laser-cooled  87Rb atoms. We show that the amplitude of the transient oscillation decays exponentially at a rate of Ωc2/2Γ, where Ωc is the Rabi frequency of the coupling laser and Γ is the spontaneous decay rate of the excited state. Using the transient oscillation, we demonstrate a simple method to determine Ωc. This method is particularly useful with the low-intensity coupling laser.

© 2004 Optical Society of America

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  1. A. Imamoǧlu and S. E. Harris, “Lasers without inversion: interference of dressed lifetime-broadened states,” Opt. Lett. 14, 1344–1346 (1989).
    [CrossRef] [PubMed]
  2. K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
    [CrossRef] [PubMed]
  3. For a recent review, see J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471–503 (1998).
    [CrossRef]
  4. E. Arimondo, “Coherent population trapping in laser spectroscopy,” in Progress in Optics XXXV, A. Wolf, ed. (Elsevier, Amsterdam, 1996), pp. 257–354.
  5. H. M. Gray, R. M. Whitley, and C. R. Stroud, Jr., “Coherent trapping of atomic populations,” Opt. Lett. 3, 218–220 (1978).
    [CrossRef] [PubMed]
  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 pulses,” Nature (London) 409, 490–493 (2001).
    [CrossRef]
  7. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
    [CrossRef] [PubMed]
  8. M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
    [CrossRef] [PubMed]
  9. O. A. Kocharovskaya and Ya. I. Khanin, “Coherent amplification of an ultrashort pulse in a three-level medium without a population inversion,” JETP Lett. 48, 630–634 (1988).
  10. A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
    [CrossRef] [PubMed]
  11. S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
    [CrossRef]
  12. E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
    [CrossRef] [PubMed]
  13. C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
    [CrossRef] [PubMed]
  14. S. E. Harris and Z. F. Luo, “Preparation energy for electromagnetically induced transparency,” Phys. Rev. A 52, R928–R931 (1995).
    [CrossRef] [PubMed]
  15. H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
    [CrossRef]
  16. P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
    [CrossRef]
  17. Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
    [CrossRef]
  18. Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
    [CrossRef]
  19. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge, UK, 1997), Sect. 7.3.
  20. If relaxation rate, γ, of the ground-state coherence is not negligible, decay rate of the transient oscillation becomes Ωc2 /2Γ+γ.

2003

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
[CrossRef]

2001

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

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

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

1998

For a recent review, see J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471–503 (1998).
[CrossRef]

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[CrossRef]

1995

S. E. Harris and Z. F. Luo, “Preparation energy for electromagnetically induced transparency,” Phys. Rev. A 52, R928–R931 (1995).
[CrossRef] [PubMed]

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

1991

K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

1990

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

1989

1988

O. A. Kocharovskaya and Ya. I. Khanin, “Coherent amplification of an ultrashort pulse in a three-level medium without a population inversion,” JETP Lett. 48, 630–634 (1988).

1987

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

1978

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 pulses,” Nature (London) 409, 490–493 (2001).
[CrossRef]

Bigelow, M. S.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Boller, K. J.

K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

Boyd, R. W.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Cable, A.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

Chen, H. X.

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[CrossRef]

Chen, Y. C.

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Chen, Y. W.

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Chiu, H. Y.

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Chu, S.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

de Echaniz, S. R.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

Durrant, A. V.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[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 pulses,” Nature (London) 409, 490–493 (2001).
[CrossRef]

Failache, H.

P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
[CrossRef]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

Gray, H. M.

Greentree, A. D.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

Harris, S. E.

S. E. Harris and Z. F. Luo, “Preparation energy for electromagnetically induced transparency,” Phys. Rev. A 52, R928–R931 (1995).
[CrossRef] [PubMed]

K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

A. Imamoǧlu and S. E. Harris, “Lasers without inversion: interference of dressed lifetime-broadened states,” Opt. Lett. 14, 1344–1346 (1989).
[CrossRef] [PubMed]

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 pulses,” Nature (London) 409, 490–493 (2001).
[CrossRef]

Hollberg, L.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Huang, J. Y.

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Imamoglu, A.

K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

A. Imamoǧlu and S. E. Harris, “Lasers without inversion: interference of dressed lifetime-broadened states,” Opt. Lett. 14, 1344–1346 (1989).
[CrossRef] [PubMed]

Khanin, Ya. I.

O. A. Kocharovskaya and Ya. I. Khanin, “Coherent amplification of an ultrashort pulse in a three-level medium without a population inversion,” JETP Lett. 48, 630–634 (1988).

Kocharovskaya, O. A.

O. A. Kocharovskaya and Ya. I. Khanin, “Coherent amplification of an ultrashort pulse in a three-level medium without a population inversion,” JETP Lett. 48, 630–634 (1988).

Lepeshkin, N. N.

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

Lezama, A.

P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
[CrossRef]

Liao, Y. A.

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Liu, C.

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

Lukin, M. D.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Luo, Z. F.

S. E. Harris and Z. F. Luo, “Preparation energy for electromagnetically induced transparency,” Phys. Rev. A 52, R928–R931 (1995).
[CrossRef] [PubMed]

Mair, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

Marangos, J. P.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

For a recent review, see J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471–503 (1998).
[CrossRef]

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[CrossRef]

Monroe, C.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

Nikonov, D. E.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Phillips, D. F.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

Prentiss, M.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

Pritchard, D. E.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

Raab, E. L.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

Robinson, H.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

Scully, M. O.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Segal, D. M.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

Stroud Jr., C. R.

Su, J. J.

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Swann, W.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

Vaccaro, J. A.

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[CrossRef]

Valente, P.

P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
[CrossRef]

Velichansky, V.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Walsworth, R. L.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

Whitley, R. M.

Wieman, C.

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

Yu, I. A.

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Zibrov, A. S.

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

J. Mod. Opt.

For a recent review, see J. P. Marangos, “Electromagnetically induced transparency,” J. Mod. Opt. 45, 471–503 (1998).
[CrossRef]

JETP Lett.

O. A. Kocharovskaya and Ya. I. Khanin, “Coherent amplification of an ultrashort pulse in a three-level medium without a population inversion,” JETP Lett. 48, 630–634 (1988).

Nature (London)

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

Opt. Lett.

Phys. Rev. A

S. R. de Echaniz, A. D. Greentree, A. V. Durrant, D. M. Segal, J. P. Marangos, and J. A. Vaccaro, “Observation of transient gain without population inversion in a laser-cooled rubidium Λ system,” Phys. Rev. A 64, 055801 (2001).
[CrossRef]

S. E. Harris and Z. F. Luo, “Preparation energy for electromagnetically induced transparency,” Phys. Rev. A 52, R928–R931 (1995).
[CrossRef] [PubMed]

H. X. Chen, A. V. Durrant, J. P. Marangos, and J. A. Vaccaro, “Observation of transient electromagnetically induced transparency in a rubidium Lambda system,” Phys. Rev. A 58, 1545–1548 (1998).
[CrossRef]

P. Valente, H. Failache, and A. Lezama, “Temporal buildup of electromagnetically induced transparency and absorption resonances in degenerate two-level transitions,” Phys. Rev. A 67, 013806 (2003).
[CrossRef]

Y. C. Chen, Y. W. Chen, J. J. Su, J. Y. Huang, and I. A. Yu, “Pump-probe spectroscopy of cold 87Rb atoms in various polarization configurations,” Phys. Rev. A 63, 043808 (2001).
[CrossRef]

Y. C. Chen, Y. A. Liao, H. Y. Chiu, J. J. Su, and I. A. Yu, “Observation of the quantum interference phenomenon induced by interacting dark resonances,” Phys. Rev. A 64, 053806 (2001).
[CrossRef]

Phys. Rev. Lett.

E. L. Raab, M. Prentiss, A. Cable, S. Chu, and D. E. Pritchard, “Trapping of neutral sodium atoms with radiation pressure,” Phys. Rev. Lett. 59, 2631–2634 (1987).
[CrossRef] [PubMed]

C. Monroe, W. Swann, H. Robinson, and C. Wieman, “Very cold trapped atoms in a vapor cell,” Phys. Rev. Lett. 65, 1571–1574 (1990).
[CrossRef] [PubMed]

K. J. Boller, A. Imamoǧlu, and S. E. Harris, “Observation of electromagnetically induced transparency,” Phys. Rev. Lett. 66, 2593–2596 (1991).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, “Storage of light in atomic vapor,” Phys. Rev. Lett. 86, 783–786 (2001).
[CrossRef] [PubMed]

M. S. Bigelow, N. N. Lepeshkin, and R. W. Boyd, “Observation of ultraslow light propagation in a ruby crystal at room temperature,” Phys. Rev. Lett. 90, 113903 (2003).
[CrossRef] [PubMed]

A. S. Zibrov, M. D. Lukin, D. E. Nikonov, L. Hollberg, M. O. Scully, and V. Velichansky, “Experimental demonstration of laser oscillation without population inversion via quantum interference in Rb,” Phys. Rev. Lett. 75, 1499–1502 (1995).
[CrossRef] [PubMed]

Other

E. Arimondo, “Coherent population trapping in laser spectroscopy,” in Progress in Optics XXXV, A. Wolf, ed. (Elsevier, Amsterdam, 1996), pp. 257–354.

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, Cambridge, UK, 1997), Sect. 7.3.

If relaxation rate, γ, of the ground-state coherence is not negligible, decay rate of the transient oscillation becomes Ωc2 /2Γ+γ.

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Figures (3)

Fig. 1
Fig. 1

(a) Typical EIT spectrum measured in the laser-cooled atoms. The probe frequency is swept at a rate of 2.5 Γ/ms. (b) The spectrum measured under the same condition except that the sweep rate is 53 Γ/ms. The absorption signal in (b) is about four times larger than that in (a).

Fig. 2
Fig. 2

(a) Dashed curve is the theoretical spectrum calculated from numerically solving Eq. (1) at Ωc=0.20Γ and dΔ/dt=53 Γ/ms. The solid curve is the experimental data. (b) Amplitude of the transient oscillation versus time. Squares are the experimental data, and the solid curve is the best fit to the data.

Fig. 3
Fig. 3

Plots in the left column are the experimental data, and those in the right column are the results from the theoretical calculation. Ωc=0.25Γ in all plots. dΔ/dt=80 Γ/ms in (a) and (b), 120 Γ/ms in (c) and (d), and 160 Γ/ms in (e) and (f).

Equations (2)

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d2ρdt2=-Γ2-2iΔ dρdt-Ωc24-Δ2-iΔΓ2-idΔdtρ+ΔΩp2,
ρ=ΔΩp/2Ωc2/4-Δ2-iΔΓ/2+C exp[(-Ωc2/2Γ+iΔ)t]+C exp[(-Γ/2+iΔ)t],

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