Abstract

We investigate the possibility that Stark wave packets can be used as a source of shaped terahertz radiation. Calculations for the sodium atom reveal that the frequency and intensity of the THz emission can be controlled over a broad range by varying the parameters of the excitation pulse.

© 1997 Optical Society of America

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References

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  1. T.F. Gallagher, Rydberg Atoms, (Cambridge University Press, Cambridge, 1994).
    [Crossref]
  2. A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
    [Crossref] [PubMed]
  3. Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
    [Crossref] [PubMed]
  4. J.N. Bardsley, “Pseudopotentials in atomic and molecular physics,” in Case Studies in Atomic Physics, edited by E.W. McDaniel and M.R.C. McDowell, (North Holland, Amsterdam, 1975), vol. IV, pp. 302–368.
  5. P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
    [Crossref] [PubMed]
  6. B.B. Hu and M.C. Nuss, “Imaging with terahertz waves,” Opt. Lett. 20, 1716–1719 (1995).
    [Crossref] [PubMed]
  7. P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
    [Crossref]
  8. A.M. Weiner, “Enhancement of coherent charge oscillations in coupled quantum wells by femtosecond pulse shaping,” J. Opt. Soc. Am. B 11, 2480–2491 (1994).
    [Crossref]
  9. B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
    [Crossref] [PubMed]

1995 (2)

B.B. Hu and M.C. Nuss, “Imaging with terahertz waves,” Opt. Lett. 20, 1716–1719 (1995).
[Crossref] [PubMed]

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

1994 (2)

A.M. Weiner, “Enhancement of coherent charge oscillations in coupled quantum wells by femtosecond pulse shaping,” J. Opt. Soc. Am. B 11, 2480–2491 (1994).
[Crossref]

Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
[Crossref] [PubMed]

1993 (1)

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

1992 (1)

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

1989 (1)

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

Bardsley, J.N.

J.N. Bardsley, “Pseudopotentials in atomic and molecular physics,” in Case Studies in Atomic Physics, edited by E.W. McDaniel and M.R.C. McDowell, (North Holland, Amsterdam, 1975), vol. IV, pp. 302–368.

Brener, I.

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Chuang, S.L.

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Cunningham, J.E.

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

de Souza, E.A.

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

Gaeta, Z.D.

Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
[Crossref] [PubMed]

Gallagher, T.F.

T.F. Gallagher, Rydberg Atoms, (Cambridge University Press, Cambridge, 1994).
[Crossref]

Goossen, K.W.

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Hu, B.B.

B.B. Hu and M.C. Nuss, “Imaging with terahertz waves,” Opt. Lett. 20, 1716–1719 (1995).
[Crossref] [PubMed]

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

Knox, W.H.

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

Lagendijk, A.

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

Luo, M.S.C.

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Noel, M.W.

Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
[Crossref] [PubMed]

Noordam, L.D.

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

Nuss, M.C.

B.B. Hu and M.C. Nuss, “Imaging with terahertz waves,” Opt. Lett. 20, 1716–1719 (1995).
[Crossref] [PubMed]

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Pfeiffer, L.

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Planken, P.C.M.

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Stroud, C.R.

Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
[Crossref] [PubMed]

ten Wolde, A.

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

van Linden van den Huevell, H.B.

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

Weiner, A.M.

J. Opt. Soc. Am. B (1)

Opt. Lett. (1)

Phys. Rev. A (1)

A. ten Wolde, L.D. Noordam, A. Lagendijk, and H.B. van Linden van den Huevell, “Atomic electron wave packets in an electrical field,” Phys. Rev. A 40, 485–488 (1989).
[Crossref] [PubMed]

Phys. Rev. B (1)

P.C.M. Planken, I. Brener, M.C. Nuss, M.S.C. Luo, and S.L. Chuang “Coherent control of terahertz charge oscillations in a coupled quantum well using phase-locked optical pulses,” Phys. Rev. B 48, 4903–4906 (1993).
[Crossref]

Phys. Rev. Lett. (3)

B.B. Hu, E.A. de Souza, W.H. Knox, J.E. Cunningham, and M.C. Nuss, “Identifying the distinct phases of carrier transport in semiconductors with 10 fs resolution,” Phys. Rev. Lett. 74, 1689–1692 (1995).
[Crossref] [PubMed]

Z.D. Gaeta, M.W. Noel, and C.R. Stroud, “Excitation of the classical-limit state of an atom,” Phys. Rev. Lett. 73, 636–639 (1994).
[Crossref] [PubMed]

P.C.M. Planken, M.C. Nuss, I. Brener, K.W. Goossen, M.S.C. Luo, S.L. Chuang, and L. Pfeiffer, “Terahertz emission in single quantum wells after coherent optical excitation of light hole and heavy hole excitons,” Phys. Rev. Lett. 69, 3800–3803 (1992).
[Crossref] [PubMed]

Other (2)

T.F. Gallagher, Rydberg Atoms, (Cambridge University Press, Cambridge, 1994).
[Crossref]

J.N. Bardsley, “Pseudopotentials in atomic and molecular physics,” in Case Studies in Atomic Physics, edited by E.W. McDaniel and M.R.C. McDowell, (North Holland, Amsterdam, 1975), vol. IV, pp. 302–368.

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Figures (4)

Fig. 1.
Fig. 1.

Snapshot of a Stark wave packet.

Fig. 2.
Fig. 2.

Time dependent dipole (left) and THz signal (right).

Fig. 3.
Fig. 3.

THz spectra for two different excitation pulses. The central frequency ω 0 and bandwidth Δω are given in cm-1.

Fig. 4.
Fig. 4.

THz production as a function of center frequency and DC bias field. The bandwidth of the excitation pulse is 24 cm-1.

Equations (2)

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z ( t ) THz = k , k Ω ik Ω k i ϵ ˜ * ( ω k ) ϵ ˜ ( ω k ) Z k . k e i ω k , k t ,
a ( ω ) 2 = k , k P k P k Z k . k 2 ω k , k 4 δ ( ω ω k , k ) ,

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