Abstract

We present a way to realize selective, robust, and efficient population transfer in a ladder-type four-level system with an equally populated doublet in the initial state. By merging stimulated Raman adiabatic passage and chirped adiabatic passage techniques, we show that selective and complete population transfer from either of the initial doublet levels to the final state can be achieved with chirped pump and Stokes pulse pairs when the spectral resolution constraint of a frequency swept pulse holds (the energy separation of doublet levels should be much larger than the pulse bandwidth). We further demonstrate that the spectral resolution of selective population transfer can be enhanced significantly by using pump pulse pair and Stokes pulse due to temporal quantum interference between the sequential transitions in the time domain, which can also be well followed as a result of the frequency-domain formation of a comblike structure of the pulse pair spectrum. The proposals take into account the case of population transfer in realistic atomic and molecular systems, and may have applications in quantum coherent control of systems with equally populated initial manifolds.

© 2012 Optical Society of America

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  1. J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690–697 (1984).
    [CrossRef]
  2. K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998).
    [CrossRef]
  3. N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
    [CrossRef]
  4. C. Sarkar, S. S. Bhattacharyya, and S. Saha, “Coherent control of vibrational population transfer in the Li2 molecule with femtosecond laser pulses in the presence of manifolds of rotational levels,” Phys. Rev. A 80, 023407 (2009).
    [CrossRef]
  5. F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
    [CrossRef]
  6. G. W. Coulston and K. Bergmann, “Population transfer by stimulated Raman scattering with delayed pulses: analytical results for multilevel systems,” J. Chem. Phys. 96, 3467–3475 (1992).
    [CrossRef]
  7. J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
    [CrossRef]
  8. B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
    [CrossRef]
  9. Y. B. Band and O. Magnes, “Chirped adiabatic passage with temporally delayed pulses,” Phys. Rev. A 50, 584–594 (1994).
    [CrossRef]
  10. Y. B. Band, “Multiphoton absorption via chirped-pulse adiabatic passage: dynamics within the excited-state manifolds,” Phys. Rev. A 50, 5046–5050 (1994).
    [CrossRef]
  11. G. P. Djotyan, J. S. Bakos, Zs. Sörlei, and J. Szigeti, “Coherent control of atomic quantum states by single frequency-chirped laser pulses,” Phys. Rev. A 70, 063406 (2004).
    [CrossRef]
  12. S. A. Malinovskaya and V. S. Malinovsky, “Chirped-pulse adiabatic control in coherent anti-Stokes Raman scattering for imaging of biological structure and dynamics,” Opt. Lett. 32, 707–709 (2007).
    [CrossRef]
  13. A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
    [CrossRef]
  14. R. N. Zare, “Laser control of chemical reactions,” Science 279, 1875–1879 (1998).
    [CrossRef]
  15. S. Chu, “Cold atoms and quantum control,” Nature 416, 206–210 (2002).
    [CrossRef]
  16. 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]
  17. V. Blanchet, C. Nicole, M. A. Bouchene, and B. Girard, “Temporal coherent control in two-photon transitions: from optical interferences to quantum interferences,” Phys. Rev. Lett. 78, 2716–2719 (1997).
    [CrossRef]
  18. X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
    [CrossRef]
  19. X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
    [CrossRef]
  20. W. Shi and S. Malinovskaya, “Implementation of a single femtosecond optical frequency comb for rovibrational cooling,” Phys. Rev. A 82, 013407 (2010).
    [CrossRef]
  21. Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
    [CrossRef]
  22. X. H. Yang and H. K. Xie, “Collision-induced constructive quantum interference,” Phys. Rev. A 67, 063807 (2003).
    [CrossRef]
  23. M. M. Salour, “Quantum interference effects in two-photon spectroscopy,” Rev. Mod. Phys. 50, 667–681 (1978).
    [CrossRef]
  24. M. C. Stowe, A. Pe’er, and J. Ye, “Control of four-level quantum coherence via discrete spectral shaping of an optical frequency comb,” Phys. Rev. Lett. 100, 203001(2008).
    [CrossRef]
  25. L. E. E. de Araujo, “Selective and efficient excitation of diatomic molecules by an ultrashort pulse train,” Phys. Rev. A 77, 033419 (2008).
    [CrossRef]
  26. G. F. Thomas, “Pulse train single-photon induced optical Ramsey fringes,” Phys. Rev. A 35, 5060–5063 (1987).
    [CrossRef]

2010

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
[CrossRef]

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
[CrossRef]

W. Shi and S. Malinovskaya, “Implementation of a single femtosecond optical frequency comb for rovibrational cooling,” Phys. Rev. A 82, 013407 (2010).
[CrossRef]

2009

C. Sarkar, S. S. Bhattacharyya, and S. Saha, “Coherent control of vibrational population transfer in the Li2 molecule with femtosecond laser pulses in the presence of manifolds of rotational levels,” Phys. Rev. A 80, 023407 (2009).
[CrossRef]

2008

M. C. Stowe, A. Pe’er, and J. Ye, “Control of four-level quantum coherence via discrete spectral shaping of an optical frequency comb,” Phys. Rev. Lett. 100, 203001(2008).
[CrossRef]

L. E. E. de Araujo, “Selective and efficient excitation of diatomic molecules by an ultrashort pulse train,” Phys. Rev. A 77, 033419 (2008).
[CrossRef]

2007

2004

Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
[CrossRef]

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

2003

X. H. Yang and H. K. Xie, “Collision-induced constructive quantum interference,” Phys. Rev. A 67, 063807 (2003).
[CrossRef]

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

2002

S. Chu, “Cold atoms and quantum control,” Nature 416, 206–210 (2002).
[CrossRef]

2001

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
[CrossRef]

2000

1998

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

R. N. Zare, “Laser control of chemical reactions,” Science 279, 1875–1879 (1998).
[CrossRef]

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998).
[CrossRef]

1997

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

1994

Y. B. Band and O. Magnes, “Chirped adiabatic passage with temporally delayed pulses,” Phys. Rev. A 50, 584–594 (1994).
[CrossRef]

Y. B. Band, “Multiphoton absorption via chirped-pulse adiabatic passage: dynamics within the excited-state manifolds,” Phys. Rev. A 50, 5046–5050 (1994).
[CrossRef]

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

1992

G. W. Coulston and K. Bergmann, “Population transfer by stimulated Raman scattering with delayed pulses: analytical results for multilevel systems,” J. Chem. Phys. 96, 3467–3475 (1992).
[CrossRef]

1987

G. F. Thomas, “Pulse train single-photon induced optical Ramsey fringes,” Phys. Rev. A 35, 5060–5063 (1987).
[CrossRef]

1984

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690–697 (1984).
[CrossRef]

1978

M. M. Salour, “Quantum interference effects in two-photon spectroscopy,” Rev. Mod. Phys. 50, 667–681 (1978).
[CrossRef]

Acioli, L. H.

Bakos, J. S.

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

Band, Y. B.

Y. B. Band and O. Magnes, “Chirped adiabatic passage with temporally delayed pulses,” Phys. Rev. A 50, 584–594 (1994).
[CrossRef]

Y. B. Band, “Multiphoton absorption via chirped-pulse adiabatic passage: dynamics within the excited-state manifolds,” Phys. Rev. A 50, 5046–5050 (1994).
[CrossRef]

Bergmann, K.

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998).
[CrossRef]

G. W. Coulston and K. Bergmann, “Population transfer by stimulated Raman scattering with delayed pulses: analytical results for multilevel systems,” J. Chem. Phys. 96, 3467–3475 (1992).
[CrossRef]

Bhattacharyya, S. S.

C. Sarkar, S. S. Bhattacharyya, and S. Saha, “Coherent control of vibrational population transfer in the Li2 molecule with femtosecond laser pulses in the presence of manifolds of rotational levels,” Phys. Rev. A 80, 023407 (2009).
[CrossRef]

Blanchet, V.

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

Chang, B. Y.

B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
[CrossRef]

Chu, S.

S. Chu, “Cold atoms and quantum control,” Nature 416, 206–210 (2002).
[CrossRef]

Coulston, G. W.

G. W. Coulston and K. Bergmann, “Population transfer by stimulated Raman scattering with delayed pulses: analytical results for multilevel systems,” J. Chem. Phys. 96, 3467–3475 (1992).
[CrossRef]

de Araujo, L. E. E.

L. E. E. de Araujo, “Selective and efficient excitation of diatomic molecules by an ultrashort pulse train,” Phys. Rev. A 77, 033419 (2008).
[CrossRef]

Djotyan, G. P.

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

Eberly, J. H.

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690–697 (1984).
[CrossRef]

Felinto, D.

Fleischhauer, M.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

Gandhi, S. R.

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Garcia Fernandez, R.

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

Girard, B.

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

Goswami, D.

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Gross, B.

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

Hansch, T. W.

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

Hariharan, A.

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Heinz, M.

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

Hioe, F. T.

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690–697 (1984).
[CrossRef]

Huber, A.

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

Karpati, A.

Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
[CrossRef]

Kis, Z.

Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
[CrossRef]

Li, C. F.

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
[CrossRef]

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
[CrossRef]

Magnes, O.

Y. B. Band and O. Magnes, “Chirped adiabatic passage with temporally delayed pulses,” Phys. Rev. A 50, 584–594 (1994).
[CrossRef]

Malinovskaya, S.

W. Shi and S. Malinovskaya, “Implementation of a single femtosecond optical frequency comb for rovibrational cooling,” Phys. Rev. A 82, 013407 (2010).
[CrossRef]

Malinovskaya, S. A.

Malinovsky, V. S.

S. A. Malinovskaya and V. S. Malinovsky, “Chirped-pulse adiabatic control in coherent anti-Stokes Raman scattering for imaging of biological structure and dynamics,” Opt. Lett. 32, 707–709 (2007).
[CrossRef]

B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
[CrossRef]

Melinger, J. S.

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Nicole, C.

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

Oreg, J.

J. Oreg, F. T. Hioe, and J. H. Eberly, “Adiabatic following in multilevel systems,” Phys. Rev. A 29, 690–697 (1984).
[CrossRef]

Pe’er, A.

M. C. Stowe, A. Pe’er, and J. Ye, “Control of four-level quantum coherence via discrete spectral shaping of an optical frequency comb,” Phys. Rev. Lett. 100, 203001(2008).
[CrossRef]

Saha, S.

C. Sarkar, S. S. Bhattacharyya, and S. Saha, “Coherent control of vibrational population transfer in the Li2 molecule with femtosecond laser pulses in the presence of manifolds of rotational levels,” Phys. Rev. A 80, 023407 (2009).
[CrossRef]

Salour, M. M.

M. M. Salour, “Quantum interference effects in two-photon spectroscopy,” Rev. Mod. Phys. 50, 667–681 (1978).
[CrossRef]

Santamaria, J.

B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
[CrossRef]

Sarkar, C.

C. Sarkar, S. S. Bhattacharyya, and S. Saha, “Coherent control of vibrational population transfer in the Li2 molecule with femtosecond laser pulses in the presence of manifolds of rotational levels,” Phys. Rev. A 80, 023407 (2009).
[CrossRef]

Shi, W.

W. Shi and S. Malinovskaya, “Implementation of a single femtosecond optical frequency comb for rovibrational cooling,” Phys. Rev. A 82, 013407 (2010).
[CrossRef]

Shore, B. W.

Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
[CrossRef]

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998).
[CrossRef]

Solá, I. R.

B. Y. Chang, I. R. Solá, V. S. Malinovsky, and J. Santamaria, “Preparing wave functions by the chirped adiabatic passage scheme in manifolds of levels,” Phys. Rev. A 64, 033420(2001).
[CrossRef]

Sörlei, Zs.

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

Stowe, M. C.

M. C. Stowe, A. Pe’er, and J. Ye, “Control of four-level quantum coherence via discrete spectral shaping of an optical frequency comb,” Phys. Rev. Lett. 100, 203001(2008).
[CrossRef]

Szigeti, J.

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

Theuer, H.

K. Bergmann, H. Theuer, and B. W. Shore, “Coherent population transfer among quantum states of atoms and molecules,” Rev. Mod. Phys. 70, 1003–1025 (1998).
[CrossRef]

Thomas, G. F.

G. F. Thomas, “Pulse train single-photon induced optical Ramsey fringes,” Phys. Rev. A 35, 5060–5063 (1987).
[CrossRef]

Vewinger, F.

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

Vianna, S. S.

Vitanov, N. V.

Z. Kis, A. Karpati, B. W. Shore, and N. V. Vitanov, “Stimulated Raman adiabatic passage among degenerate-level manifolds,” Phys. Rev. A 70, 053405 (2004).
[CrossRef]

F. Vewinger, M. Heinz, R. Garcia Fernandez, N. V. Vitanov, and K. Bergmann, “Creation and measurement of a coherent superposition of quantum states,” Phys. Rev. Lett. 91, 213001 (2003).
[CrossRef]

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

Warren, W. S.

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Weitz, M.

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

Xie, H. K.

X. H. Yang and H. K. Xie, “Collision-induced constructive quantum interference,” Phys. Rev. A 67, 063807 (2003).
[CrossRef]

Yan, X. N.

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
[CrossRef]

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
[CrossRef]

Yang, X. H.

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
[CrossRef]

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
[CrossRef]

X. H. Yang and H. K. Xie, “Collision-induced constructive quantum interference,” Phys. Rev. A 67, 063807 (2003).
[CrossRef]

Ye, J.

M. C. Stowe, A. Pe’er, and J. Ye, “Control of four-level quantum coherence via discrete spectral shaping of an optical frequency comb,” Phys. Rev. Lett. 100, 203001(2008).
[CrossRef]

Zare, R. N.

R. N. Zare, “Laser control of chemical reactions,” Science 279, 1875–1879 (1998).
[CrossRef]

Zhang, Z. H.

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Selective and efficient control of coherent population transfer with time-separated chirped pulses,” Phys. Rev. A 81, 035801(2010).
[CrossRef]

X. H. Yang, Z. H. Zhang, X. N. Yan, and C. F. Li, “Enhanced selectivity and efficiency of coherent population transfer via a train of pulse pairs,” Phys. Rev. A 82, 033831 (2010).
[CrossRef]

Adv. At. Mol. Opt. Phys.

N. V. Vitanov, M. Fleischhauer, B. W. Shore, and K. Bergmann, “Coherent manipulation of atoms and molecules by sequential laser pulses,” Adv. At. Mol. Opt. Phys. 46, 55–190 (2001).
[CrossRef]

J. Chem. Phys.

G. W. Coulston and K. Bergmann, “Population transfer by stimulated Raman scattering with delayed pulses: analytical results for multilevel systems,” J. Chem. Phys. 96, 3467–3475 (1992).
[CrossRef]

J. S. Melinger, S. R. Gandhi, A. Hariharan, D. Goswami, and W. S. Warren, “Adiabatic population transfer with frequency-swept laser pulses,” J. Chem. Phys. 101, 6439–6454 (1994).
[CrossRef]

Nature

S. Chu, “Cold atoms and quantum control,” Nature 416, 206–210 (2002).
[CrossRef]

Opt. Lett.

Phys. Rev. A

A. Huber, B. Gross, M. Weitz, and T. W. Hansch, “Two-photon optical Ramsey spectroscopy of the 1S-2S transition in atomic hydrogen,” Phys. Rev. A 58, R2631–R2634 (1998).
[CrossRef]

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Figures (6)

Fig. 1.
Fig. 1.

Ladder-type four-level system with an equally populated initial doublet driven by time-separated linearly chirped pump-Stokes pulses (shown in the right part) with the time delay τ (and Tr) between the first pump pulse and the Stokes (and the second pump pulse).

Fig. 2.
Fig. 2.

Time evolution of the populations in the four states 1 (solid line), 2 (dashed line), 3 (dotted-dashed line), and 4 (dotted line) with the central frequency of pump frequency tuned on the middle position of the two atomic resonant transition frequencies ω31 and ω21, and the Stokes pulse resonant with the transition 3–4 with τ=2, Ω0=180, and ω21=18 in corresponding units of T or T1; (a) αp=αs=10; (b) αp=αs=10; (c) αp=αs=0.

Fig. 3.
Fig. 3.

Final populations in the four states 1 (solid line), 2 (dashed line), 3 (dotted-dashed line), and 4 (dotted line) as a function of the chirp rate α=αp=αs of the pump and Stokes pulses with ωp=(ω31+ω32)/2 and ωs=ω43, and the other parameters are the same as those in Fig. 2.

Fig. 4.
Fig. 4.

Contour plots of the final populations in the four states 1 (a), 2 (b), 3 (c), and 4 (d) as functions of the chirp rate α=αp=αs and ω21 for the method by merging STIRAP and CHIRAP, and the other parameters are the same as those in Fig. 2.

Fig. 5.
Fig. 5.

Contour plots of the final populations in the four states 1 (a), 2 (b), 3 (c), and 4 (d) as functions of Tr and Δ1 for the method by integrating STIRAP and TCC with pump pulse pair and Stokes pulse with Ω0=25 and ω21=1, and the other parameters are the same as those in Fig. 2.

Fig. 6.
Fig. 6.

Contour plots of the final populations in the four states 1 (a), 2 (b), 3 (c), and 4 (d) as functions of Tr and Δ1 for the method by integrating STIRAP and TCC with pump pulse pair and Stokes pulse with Ω0=25 and ω21=0.1, and the other parameters are the same as those in Fig. 2.

Equations (1)

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H=(00Ωp*(t)00ω21Ωp*(t)0Ωp(t)Ωp(t)Δ1Ωs*(t)00Ωs(t)Δ1Δ2).

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