Abstract

We study the vibrational energy relaxation (VER) and collisional dephasing as channels of coherence loss in a vibrational mode that is selectively excited using chirped pulse adiabatic passage in the Raman configuration. Based on the dressed state picture analysis we propose a method to reduce decoherence using femtosecond chirped pulse trains. When applied with a period close to the VER time, the pulse trains allow one to sustain high coherence in the selected vibrational mode.

© 2008 Optical Society of America

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  1. A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
    [CrossRef]
  2. E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
    [CrossRef] [PubMed]
  3. M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
    [CrossRef] [PubMed]
  4. N. V. Vitanov and P. L. Knight, Phys. Rev. A 52, 2245 (1995).
    [CrossRef] [PubMed]
  5. M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, 2003).
  6. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge U. Press, 2001).
  7. S. A. Malinovskaya and V. S. Malinovsky, Opt. Lett. 32, 707 (2007).
    [CrossRef] [PubMed]
  8. E. O. Potma and X. S. Xie, Opt. Photon. News 15(11), 40 (2004).
    [CrossRef]
  9. C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
    [CrossRef] [PubMed]
  10. V. S. Malinovsky and J. L. Krause, Phys. Rev. A 63, 043415 (2001).
    [CrossRef]
  11. S. A. Malinovskaya, Phys. Rev. A 73, 033416 (2006).
    [CrossRef]

2007 (3)

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

S. A. Malinovskaya and V. S. Malinovsky, Opt. Lett. 32, 707 (2007).
[CrossRef] [PubMed]

2006 (2)

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

S. A. Malinovskaya, Phys. Rev. A 73, 033416 (2006).
[CrossRef]

2005 (1)

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

2004 (1)

E. O. Potma and X. S. Xie, Opt. Photon. News 15(11), 40 (2004).
[CrossRef]

2001 (1)

V. S. Malinovsky and J. L. Krause, Phys. Rev. A 63, 043415 (2001).
[CrossRef]

1995 (1)

N. V. Vitanov and P. L. Knight, Phys. Rev. A 52, 2245 (1995).
[CrossRef] [PubMed]

Brumer, P.

M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, 2003).

Chuang, I. L.

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge U. Press, 2001).

Cote, D.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

Evans, C. L.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

Jones, R. J.

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Knight, P. L.

N. V. Vitanov and P. L. Knight, Phys. Rev. A 52, 2245 (1995).
[CrossRef] [PubMed]

Krause, J. L.

V. S. Malinovsky and J. L. Krause, Phys. Rev. A 63, 043415 (2001).
[CrossRef]

Lin, C. P.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

Malinovskaya, S. A.

Malinovsky, V. S.

S. A. Malinovskaya and V. S. Malinovsky, Opt. Lett. 32, 707 (2007).
[CrossRef] [PubMed]

V. S. Malinovsky and J. L. Krause, Phys. Rev. A 63, 043415 (2001).
[CrossRef]

Menzel-Jones, C.

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

Milner, V.

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

Moll, K. D.

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Nielsen, M. A.

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge U. Press, 2001).

Peér, A.

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

Potma, E. O.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

E. O. Potma and X. S. Xie, Opt. Photon. News 15(11), 40 (2004).
[CrossRef]

Puorishaag, M.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

Safdi, B.

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Shapiro, E. A.

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

Shapiro, M.

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, 2003).

Stowe, M. C.

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

Thorpe, M. J.

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Vitanov, N. V.

N. V. Vitanov and P. L. Knight, Phys. Rev. A 52, 2245 (1995).
[CrossRef] [PubMed]

Xie, X. S.

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

E. O. Potma and X. S. Xie, Opt. Photon. News 15(11), 40 (2004).
[CrossRef]

Ye, J.

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Opt. Lett. (1)

Opt. Photon. News (1)

E. O. Potma and X. S. Xie, Opt. Photon. News 15(11), 40 (2004).
[CrossRef]

Phys. Rev. A (3)

V. S. Malinovsky and J. L. Krause, Phys. Rev. A 63, 043415 (2001).
[CrossRef]

S. A. Malinovskaya, Phys. Rev. A 73, 033416 (2006).
[CrossRef]

N. V. Vitanov and P. L. Knight, Phys. Rev. A 52, 2245 (1995).
[CrossRef] [PubMed]

Phys. Rev. Lett. (2)

A. Peér, E. A. Shapiro, M. C. Stowe, M. Shapiro, and J. Ye, Phys. Rev. Lett. 98, 113004 (2007).
[CrossRef]

E. A. Shapiro, V. Milner, C. Menzel-Jones, and M. Shapiro, Phys. Rev. Lett. 99, 033002 (2007).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. USA (1)

C. L. Evans, E. O. Potma, M. Puorishaag, D. Cote, C. P. Lin, and X. S. Xie, Proc. Natl. Acad. Sci. USA 102, 16807 (2005).
[CrossRef] [PubMed]

Science (1)

M. J. Thorpe, K. D. Moll, R. J. Jones, B. Safdi, and J. Ye, Science 311, 1595 (2006).
[CrossRef] [PubMed]

Other (2)

M. Shapiro and P. Brumer, Principles of the Quantum Control of Molecular Processes (Wiley, 2003).

M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge U. Press, 2001).

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Figures (4)

Fig. 1
Fig. 1

Schematic of the TLSs representing Raman active vibrational modes.

Fig. 2
Fig. 2

Dependence of coherence ρ 12 on γ 2 ω and Γ ω , where ω = ω 21 .

Fig. 3
Fig. 3

(a) Dynamics of the coherence and population in the resonant TLS. (b) Dynamics in the detuned and (c) resonant TLS in the field interaction representation and in the dressed state representation, γ 2 ω = Γ ω = 10 3 .

Fig. 4
Fig. 4

(a) Dynamics in the resonant TLS resulted from application of (a) two sequential pump and Stokes pulse pairs T = 44 ps , (b) two chirped pulse trains T = 11 ps , and (c) the Ω 3 ( t ) ω .

Equations (2)

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ρ ̇ 11 d = ( γ 2 sin 2 ϴ + 1 2 ( Γ γ 2 2 ) sin 2 2 ϴ ) ρ 11 d + ( γ 2 cos 4 ϴ + 1 2 Γ sin 2 2 ϴ ) ρ 22 d ,
ρ ̇ 22 d = ( γ 2 sin 4 ϴ + 1 2 Γ sin 2 2 ϴ ) ρ 11 d ( γ 2 cos 2 ϴ + 1 2 ( Γ γ 2 2 ) sin 2 2 ϴ ) ρ 22 d ,

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