Abstract

We have experimentally demonstrated that stored and retrieved light pulses have different frequencies but maintain phase coherence; a stored light pulse is released with a different polarization. However, the manipulation process causes an energy loss of the retrieved pulse. We have discovered that Clebsch–Gordan coefficients among the Zeeman sublevels play an important role in the energy loss and have demonstrated a solution for avoiding the energy loss.

© 2006 Optical Society of America

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  1. M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
    [CrossRef] [PubMed]
  2. C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
    [CrossRef] [PubMed]
  3. D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
    [CrossRef] [PubMed]
  4. O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
    [CrossRef] [PubMed]
  5. M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
    [CrossRef] [PubMed]
  6. S. E. Harris, Phys. Today 50(7), 36 (1997).
    [CrossRef]
  7. M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
    [CrossRef]
  8. A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
    [CrossRef]
  9. H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
    [CrossRef]
  10. Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
    [CrossRef]
  11. A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
    [CrossRef] [PubMed]
  12. B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
    [CrossRef]
  13. Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
    [CrossRef]
  14. A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
    [CrossRef]
  15. Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
    [CrossRef] [PubMed]
  16. C. Y. Wang, Y. F. Chen, S. C. Lin, W. H. Lin, P. C. Kuan, and I. A. Yu, Opt. Lett. 31, 2350 (2006).
    [CrossRef] [PubMed]
  17. Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
    [CrossRef] [PubMed]

2006

2005

Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
[CrossRef] [PubMed]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

2004

A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
[CrossRef]

2003

H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
[CrossRef]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

2002

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

2001

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
[CrossRef] [PubMed]

2000

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef] [PubMed]

1997

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Bajcsy, M.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Batelaan, H.

H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
[CrossRef]

Behroozi, C. H.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Chang, H.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Chen, Y. F.

C. Y. Wang, Y. F. Chen, S. C. Lin, W. H. Lin, P. C. Kuan, and I. A. Yu, Opt. Lett. 31, 2350 (2006).
[CrossRef] [PubMed]

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
[CrossRef] [PubMed]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Dutton, Z.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Fleischhauer, A.

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Fleischhauer, M.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef] [PubMed]

Gao, H.

H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
[CrossRef]

Hager, J.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

Hakuta, K.

A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
[CrossRef]

Harris, S. E.

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Hau, L. V.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Imamoglu, A.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Kien, F. L.

A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
[CrossRef]

Kocharovskaya, O.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
[CrossRef] [PubMed]

Kuan, P. C.

Li, S.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Lin, S. C.

Lin, W. H.

Liu, C.

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

Liu, Y. C.

Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
[CrossRef] [PubMed]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Lukin, M. D.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef] [PubMed]

Mair, A.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Marangos, J. P.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

Matsko, A. B.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

Patnaik, A. K.

A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
[CrossRef]

Phillips, D. F.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Rosenberry, M.

H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
[CrossRef]

Rostovtsev, Y.

O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
[CrossRef] [PubMed]

Rostovtsev, Y. V.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

Scully, M. O.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
[CrossRef] [PubMed]

Tsai, Z. H.

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
[CrossRef] [PubMed]

Walsworth, R. L.

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

Wang, B.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Wang, C. Y.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

C. Y. Wang, Y. F. Chen, S. C. Lin, W. H. Lin, P. C. Kuan, and I. A. Yu, Opt. Lett. 31, 2350 (2006).
[CrossRef] [PubMed]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

Wang, H.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Wang, S. H.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Welch, G. R.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

Wu, H.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Xiao, M.

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Yu, I. A.

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

C. Y. Wang, Y. F. Chen, S. C. Lin, W. H. Lin, P. C. Kuan, and I. A. Yu, Opt. Lett. 31, 2350 (2006).
[CrossRef] [PubMed]

Y. F. Chen, Z. H. Tsai, Y. C. Liu, and I. A. Yu, Opt. Lett. 30, 3207 (2005).
[CrossRef] [PubMed]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Zibrov, A. S.

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

Nature

C. Liu, Z. Dutton, C. H. Behroozi, and L. V. Hau, Nature 409, 490 (2001).
[CrossRef] [PubMed]

M. Bajcsy, A. S. Zibrov, and M. D. Lukin, Nature 426, 638 (2003).
[CrossRef] [PubMed]

Opt. Lett.

Phys. Rev. A

B. Wang, S. Li, H. Wu, H. Chang, H. Wang, and M. Xiao, Phys. Rev. A 72, 043801 (2005).
[CrossRef]

Y. F. Chen, S. H. Wang, C. Y. Wang, and I. A. Yu, Phys. Rev. A 72, 053803 (2005).
[CrossRef]

A. K. Patnaik, F. L. Kien, and K. Hakuta, Phys. Rev. A 69, 035803 (2004).
[CrossRef]

A. Mair, J. Hager, D. F. Phillips, R. L. Walsworth, and M. D. Lukin, Phys. Rev. A 65, 031802(R) (2002).
[CrossRef]

H. Gao, M. Rosenberry, and H. Batelaan, Phys. Rev. A 67, 053807 (2003).
[CrossRef]

Y. F. Chen, Y. C. Liu, Z. H. Tsai, S. H. Wang, and I. A. Yu, Phys. Rev. A 72, 033812 (2005).
[CrossRef]

Phys. Rev. Lett.

A. S. Zibrov, A. B. Matsko, O. Kocharovskaya, Y. V. Rostovtsev, G. R. Welch, and M. O. Scully, Phys. Rev. Lett. 88, 103601 (2002).
[CrossRef] [PubMed]

D. F. Phillips, A. Fleischhauer, A. Mair, R. L. Walsworth, and M. D. Lukin, Phys. Rev. Lett. 86, 783 (2001).
[CrossRef] [PubMed]

O. Kocharovskaya, Y. Rostovtsev, and M. O. Scully, Phys. Rev. Lett. 86, 628 (2001).
[CrossRef] [PubMed]

Y. F. Chen, C. Y. Wang, S. H. Wang, and I. A. Yu, Phys. Rev. Lett. 96, 043603 (2006).
[CrossRef] [PubMed]

M. Fleischhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).
[CrossRef] [PubMed]

Phys. Today

S. E. Harris, Phys. Today 50(7), 36 (1997).
[CrossRef]

Rev. Mod. Phys.

M. Fleischhauer, A. Imamoglu, and J. P. Marangos, Rev. Mod. Phys. 77, 633 (2005).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Scheme of the experimental setup. PD, photodetector; BS, beam splitter cube; PBS, polarizing beam splitter cube; λ 4 , quarter-wave plate; M, mirror. Other abbreviations defined in text. (b) and (c) Laser excitations in the studies of manipulating the retrieved frequency and polarization, respectively.

Fig. 2
Fig. 2

(a) Probe signals carrying the beat notes. The gray and black solid lines are the signals from PD1 and PD2, respectively. The dashed line is the signal of the C 1 field. Ω c = 0.30 Γ and Ω p 0 = 0.1 Γ . (b) and (c) Beat notes from differ ent parts of the PD2 signal of (a). (d) Frequency difference between the input and output probe pulses of the storage versus the detuning of the C 1 reading field. The C 1 writing field drives the transition resonantly.

Fig. 3
Fig. 3

Manipulation of the retrieved polarization. The black and red (gray in print) solid lines are the probe signals from PD2 ( σ + ) and PD3 ( σ ) , respectively. The input probe pulse has Ω p 0 = 0.1 Γ and is shown by the gray line in (a) with the size reduced to half. We did not chop off the tail of the input pulse and verified that it had no observable contribution to the retrieved signal. The black and red dashed lines are the signals of the C 1 ( σ + and Ω c = 0.30 Γ ) and C 2 ( σ and Ω c = 0.31 Γ ), respectively. The dotted lines are the theoretical predictions. The narrow spikes at the beginning of the retrieved signals result from the rapid switching processes according to the theoretical analysis.

Fig. 4
Fig. 4

(a) Manipulation of the retrieved polarization under the optical pumping field. The λ 4 and the PBS in front of PD2 were removed. The black and red (gray in print) solid lines are the probe signals for the retrievals under the σ + ( C 1 ) and σ ( C 2 ) reading fields, respectively. (b) Same condition as (a) except that there was no optical pumping field.

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

1 c t Ω ̂ p + x Ω ̂ p = i η j = 1 3 a p , j ρ 31 , j ,
t ρ 31 , j = i 2 a p , j Ω ̂ p 3 + i 2 a c , j Ω ̂ c ρ 21 , j Γ 2 ρ 31 , j ,
t ρ 21 , j = i 2 a c , j Ω ̂ c ρ 31 , j γ ρ 21 , j ,

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