Abstract

We demonstrate temporal coherent control in two-photon transitions. A pair of broadband (Δλ20nm), ultrashort (Δt100fs), collinear pulses with a variable time delay excites the rubidium atoms into the 5D state from the 5S ground state where the two-photon transitions are enhanced by the intermediate level 5P. The excited atoms radiate 5μm (5D6P) and 420nm (6P5S) light. As a result of tuning the wavelength of the input laser, a superfluorescence at 420nm exhibits different temporal behaviors. A switching from a beating at the frequency given by the difference between the sequential atomic transitions that involve the 5P3/2 intermediate level, to a quantum beating due to two different two-photon excitation paths, 5S5P1/25D and 5S5P3/25D is observed. Based on the simple atom-field interaction theory, an analytic solution, which qualitatively elucidates experimental results, is obtained.

© 2011 Optical Society of America

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  1. D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature 396, 239–242 (1998).
    [CrossRef]
  2. V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
    [CrossRef]
  3. D. Felinto, L. H. Acioli, and S. S. Vianna, “Temporal coherent control of a sequential transition in rubidium atoms,” Opt. Lett. 25, 917–919 (2000).
    [CrossRef]
  4. A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
    [CrossRef]
  5. Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
    [CrossRef]
  6. C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
    [CrossRef]
  7. H. G. Barros, W. B. Lozano, S. S. Vianna, and L. H. Acioli, “Influence of propagation and external phase in sequential two-photon absorption of femtosecond pulses,” Opt. Lett. 30, 3081–3083 (2005).
    [CrossRef] [PubMed]
  8. H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
    [CrossRef]
  9. R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99–110 (1954).
    [CrossRef]
  10. N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
    [CrossRef]
  11. J. Marek, “Observation of superradiance in Rb vapour,” J. Phys. B: At. Mol. Opt. Phys. 12, L229–L234 (1979).
    [CrossRef]
  12. F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
    [CrossRef]
  13. D. J. Heinzen, J. E. Thomas, and M. S. Feld, “Coherent ringing in superfluorescence,” Phys. Rev. Lett. 54, 677–680 (1985).
    [CrossRef] [PubMed]
  14. E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
    [CrossRef]
  15. A. I. Lvovsky, S. R. Hartmann, and F. Moshary, “Omnidirectional superfluorescence,” Phys. Rev. Lett. 82, 4420–4423(1999).
    [CrossRef]
  16. G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
    [CrossRef]
  17. V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
    [CrossRef]
  18. J. Ferraz, L. H. Acioli, and S. S. Vianna, “One- and two-photon quantum interferences in parametric four-wave mixing,” Opt. Lett. 35, 375–377 (2010).
    [CrossRef] [PubMed]
  19. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University, 1997).
  20. R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
    [CrossRef]
  21. G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

2010 (4)

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

J. Ferraz, L. H. Acioli, and S. S. Vianna, “One- and two-photon quantum interferences in parametric four-wave mixing,” Opt. Lett. 35, 375–377 (2010).
[CrossRef] [PubMed]

2008 (1)

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

2007 (1)

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

2006 (1)

H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
[CrossRef]

2005 (1)

2004 (1)

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

2003 (1)

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

2002 (1)

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

2000 (1)

1999 (1)

A. I. Lvovsky, S. R. Hartmann, and F. Moshary, “Omnidirectional superfluorescence,” Phys. Rev. Lett. 82, 4420–4423(1999).
[CrossRef]

1998 (1)

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature 396, 239–242 (1998).
[CrossRef]

1997 (2)

V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
[CrossRef]

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

1985 (1)

D. J. Heinzen, J. E. Thomas, and M. S. Feld, “Coherent ringing in superfluorescence,” Phys. Rev. Lett. 54, 677–680 (1985).
[CrossRef] [PubMed]

1981 (1)

F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
[CrossRef]

1979 (1)

J. Marek, “Observation of superradiance in Rb vapour,” J. Phys. B: At. Mol. Opt. Phys. 12, L229–L234 (1979).
[CrossRef]

1973 (1)

N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
[CrossRef]

1954 (1)

R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99–110 (1954).
[CrossRef]

Acioli, L. H.

Allen, J. R.

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Ariunbold, G. O.

G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

Barrett, B.

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

Barros, H. G.

H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
[CrossRef]

H. G. Barros, W. B. Lozano, S. S. Vianna, and L. H. Acioli, “Influence of propagation and external phase in sequential two-photon absorption of femtosecond pulses,” Opt. Lett. 30, 3081–3083 (2005).
[CrossRef] [PubMed]

Blanchet, V.

V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
[CrossRef]

Bouchene, M.-A.

V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
[CrossRef]

Dicke, R. H.

R. H. Dicke, “Coherence in spontaneous radiation processes,” Phys. Rev. 93, 99–110 (1954).
[CrossRef]

Eden, J. G.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Feld, M. S.

D. J. Heinzen, J. E. Thomas, and M. S. Feld, “Coherent ringing in superfluorescence,” Phys. Rev. Lett. 54, 677–680 (1985).
[CrossRef] [PubMed]

F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
[CrossRef]

N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
[CrossRef]

Felinto, D.

Ferraz, J.

J. Ferraz, L. H. Acioli, and S. S. Vianna, “One- and two-photon quantum interferences in parametric four-wave mixing,” Opt. Lett. 35, 375–377 (2010).
[CrossRef] [PubMed]

H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
[CrossRef]

Feurer, T.

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

Gao, J.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Gibbs, H. M.

F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
[CrossRef]

Gigard, B.

V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
[CrossRef]

Hartmann, S. R.

A. I. Lvovsky, S. R. Hartmann, and F. Moshary, “Omnidirectional superfluorescence,” Phys. Rev. Lett. 82, 4420–4423(1999).
[CrossRef]

Heinzen, D. J.

D. J. Heinzen, J. E. Thomas, and M. S. Feld, “Coherent ringing in superfluorescence,” Phys. Rev. Lett. 54, 677–680 (1985).
[CrossRef] [PubMed]

Herman, I. P.

N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
[CrossRef]

Kash, M. M.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

Kumarakrishnan, A.

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

Li, H.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

Lozano, W. B.

H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
[CrossRef]

H. G. Barros, W. B. Lozano, S. S. Vianna, and L. H. Acioli, “Influence of propagation and external phase in sequential two-photon absorption of femtosecond pulses,” Opt. Lett. 30, 3081–3083 (2005).
[CrossRef] [PubMed]

Lu, Z. H.

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Lvovsky, A. I.

A. I. Lvovsky, S. R. Hartmann, and F. Moshary, “Omnidirectional superfluorescence,” Phys. Rev. Lett. 82, 4420–4423(1999).
[CrossRef]

MacGillivray, J. C.

N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
[CrossRef]

Marek, J.

J. Marek, “Observation of superradiance in Rb vapour,” J. Phys. B: At. Mol. Opt. Phys. 12, L229–L234 (1979).
[CrossRef]

Mattar, F. P.

F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
[CrossRef]

McCall, S. L.

F. P. Mattar, H. M. Gibbs, S. L. McCall, and M. S. Feld, “Transverse effects in superfluorescence,” Phys. Rev. Lett. 46, 1123–1126 (1981).
[CrossRef]

Meshulach, D.

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature 396, 239–242 (1998).
[CrossRef]

Moshary, F.

A. I. Lvovsky, S. R. Hartmann, and F. Moshary, “Omnidirectional superfluorescence,” Phys. Rev. Lett. 82, 4420–4423(1999).
[CrossRef]

Netz, R.

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

Nicole, C.

V. Blanchet, C. Nicole, M.-A. Bouchene, and B. Gigard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
[CrossRef]

Oldenburg, A. L.

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Paradis, E.

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

Raithel, G.

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

Roberts, G.

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

Rostovtsev, Yu. V.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

Sarkisyan, D.

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

Sarkisyan, D. H.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Sauerbrey, R.

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

Sautenkov, V. A.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

Scully, M. O.

G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

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

Senin, A. A.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Silberberg, Y.

D. Meshulach and Y. Silberberg, “Coherent quantum control of two-photon transitions by a femtosecond laser pulse,” Nature 396, 239–242 (1998).
[CrossRef]

Skribanowitz, N.

N. Skribanowitz, I. P. Herman, J. C. MacGillivray, and M. S. Feld, “Observation of Dicke superradiance in optically pumped HF gas,” Phys. Rev. Lett. 30, 309–312 (1973).
[CrossRef]

Thomas, J. E.

D. J. Heinzen, J. E. Thomas, and M. S. Feld, “Coherent ringing in superfluorescence,” Phys. Rev. Lett. 54, 677–680 (1985).
[CrossRef] [PubMed]

Tran, H. C.

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Varzhapetyan, T. S.

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Vianna, S. S.

Welch, G. R.

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

Xiao, Y.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Zhang, R.

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

Zhu, C. J.

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

Zhu, C.-J.

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

Zubairy, M. S.

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

Chem. Phys. Lett. (1)

A. A. Senin, H. C. Tran, J. Gao, Z. H. Lu, C. J. Zhu, A. L. Oldenburg, J. R. Allen, and J. G. Eden, “Molecular dissociation observed with an atomic wavepacket and parametric four-wave mixing,” Chem. Phys. Lett. 381, 53–59 (2003).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

Z. H. Lu, C. J. Zhu, A. A. Senin, J. R. Allen, J. Gao, and J. G. Eden, “Production and probing of atomic wavepackets with ultrafast laser pulses: applications to atomic and molecular dynamics,” IEEE J. Sel. Top. Quantum Electron. 10, 159–168 (2004).
[CrossRef]

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[CrossRef]

J. Russ. Laser Res. (1)

V. A. Sautenkov, T. S. Varzhapetyan, H. Li, D. Sarkisyan, and M. O. Scully, “Selective reflection of a laser beam from a dilute rubidium vapor,” J. Russ. Laser Res. 31, 270–275(2010).
[CrossRef]

Nature (1)

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[CrossRef]

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[CrossRef]

Phys. Rev. A (5)

E. Paradis, B. Barrett, A. Kumarakrishnan, R. Zhang, and G. Raithel, “Observation of superfluorescent emissions from laser-cooled atoms,” Phys. Rev. A 77, 043419 (2008).
[CrossRef]

H. G. Barros, J. Ferraz, W. B. Lozano, L. H. Acioli, and S. S. Vianna, “Coherent control of quantum interference in two-photon absorption,” Phys. Rev. A 74, 055402 (2006).
[CrossRef]

G. O. Ariunbold, M. M. Kash, V. A. Sautenkov, H. Li, Yu. V. Rostovtsev, G. R. Welch, and M. O. Scully, “Observation of picosecond superfluorescent pulses in rubidium vapor pumped by 100-femtosecond laser pulses,” Phys. Rev. A 82, 043421 (2010).
[CrossRef]

R. Netz, T. Feurer, G. Roberts, and R. Sauerbrey, “Coherent population dynamics of a three-level atom in spacetime,” Phys. Rev. A 65, 043406 (2002).
[CrossRef]

C.-J. Zhu, Y. Xiao, A. A. Senin, J. Gao, J. G. Eden, T. S. Varzhapetyan, and D. H. Sarkisyan, “Quantum beating in Rb at 18.3THz (608cm−1) detected by parametric six-wave mixing and sum-frequency generation in LiIO3,” Phys. Rev. A 053405(2007).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef] [PubMed]

Other (2)

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

G. O. Ariunbold, V. A. Sautenkov, and M. O. Scully, “A rapid inspection of atomic interference using superfluorescent picosecond pulses,” in Conference on Lasers and Electro-Optics, OSA Technical Digest (CD) (Optical Society of America, 2010), paper CMA4.

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Figures (6)

Fig. 1
Fig. 1

(a) Schematic diagram: B, beam splitter; T, translation stage; S, scanning mirror; FG, function generator; G, glass plate; L1 ( 20 cm ) and L2 ( 5 cm ) lenses; F, short wavelength pass filter; and P1 and P2, photodiodes. (b) Rb energy level scheme.

Fig. 2
Fig. 2

Data scanned on a large time interval for the (a) input 785 and (b) generated 420 nm light as functions of the delay time between input pulses. Insets, data scanned on a small time interval.

Fig. 3
Fig. 3

Diagrams for two-photon transitions. Two-photon transitions are associated with parameters such as (i) Δ 1 = ω a b 1 ω b 1 c , (ii) Δ 2 = ω a b 2 ω b 2 c , (iii) and (iv) Δ 3 = ω a b 2 ω b 1 c = ω a b 1 ω b 2 c , and (v) Δ 0 = ω b 1 c ω b 2 c .

Fig. 4
Fig. 4

(Left column) The SF at 420 nm was recorded for three different input laser center wavelengths: (a) λ in = 770 , (c) 785, and (e) 795 nm . Each data curve is averaged over eight samples. The scan period was 50 s . The actual spectra of the input lasers are shown in the insets. (Right column) The analytical results are presented for three different input parameters: (b) λ c = 770 , (d) 785, and (f) 795 nm .

Fig. 5
Fig. 5

FFTs of the corresponding experimental and theoretical results from Fig. 4.

Fig. 6
Fig. 6

FFTs of the recorded SF at 420 nm (curve with diamonds) and an analytical result (solid curve). The 420 nm data without averaging and the corresponding analytical result are shown in insets (a) and (b), respectively. The input center wavelength of the laser λ in and the input parameter λ c are both 790 nm . For the analytical FFT result, the x axis is scaled by 7.12 THz .

Equations (3)

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V ( t ) = Ω { e i ( ω a c ν in ω b 1 c ) t | a b 1 | + e i ( ω a c ν in ω b 2 c ) t | a b 2 | + e i ( ω b 1 c ν in ) t | b 1 c | + e i ( ω b 2 c ν in ) t | b 2 c | } + h . c . ,
t | Ψ I ( t ) = i V ( t ) | Ψ I ( t ) ,
| a | 2 N ( e τ 2 / τ SF 2 + C ) [ 2 A 1 2 + 2 A 2 2 + 2 A 1 A 2 + A 1 2 cos Δ 1 τ + A 2 2 cos Δ 2 τ + 2 A 1 A 2 ( cos Δ 0 τ + cos Δ 3 τ ) ] ,

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