Abstract

We describe frequency-domain four-wave mixing spectroscopy measurements near the fundamental band edge in room-temperature GaAs multiple quantum wells. The line-shape information gives a measure of the dynamical behavior of the material and what is to our knowledge the first observation of an interference line shape due to a dominant slow contribution to the nonlinear response.

© 1989 Optical Society of America

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References

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  1. See, e.g., the recent review by D. S. Chemla, S. Schmitt-Rink, D. A. B. Miller, in Nonlinear Effects and Instabilities in Semiconductors, H. Haug, ed. (Academic, Orlando, Fla., 1988).
  2. S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
    [CrossRef]
  3. D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
    [CrossRef]
  4. S. Schmitt-Rink, C. Ell, J. Lumin. 30, 585 (1985).
    [CrossRef]
  5. J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
    [CrossRef] [PubMed]
  6. D. G. Steel, J. Remillard, Phys. Rev. A 36, 4330 (1987).
    [CrossRef] [PubMed]
  7. B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
    [CrossRef]
  8. D. G. Steel, S. C. Rand, Phys. Rev. Lett. 55, 2285 (1985).
    [CrossRef] [PubMed]
  9. J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
    [CrossRef]
  10. D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
    [CrossRef]
  11. J. D. Wiley, in Semiconductors and Semimetals, R. K. Willardson, A. C. Beer, eds. (Academic, New York, 1975), Vol. 10, p. 91.
    [CrossRef]
  12. J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
    [CrossRef]
  13. H. Haug, J. Lumin. 30, 171 (1985); J. F. Müller, R. Mewis, H. Haug, Z. Phys. B 69, 231 (1987); S. Schmitt-Rink, D. S. Chemla, H. Haug, Phys. Rev. B 37, 941 (1988); M. Lindberg, S. W. Koch, Phys. Rev. B 38, 3342 (1988).
    [CrossRef]
  14. P. R. Berman, J. Opt. Soc. Am. B 3, 564 (1986).
    [CrossRef]

1989 (1)

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

1987 (1)

D. G. Steel, J. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

1986 (1)

1985 (4)

H. Haug, J. Lumin. 30, 171 (1985); J. F. Müller, R. Mewis, H. Haug, Z. Phys. B 69, 231 (1987); S. Schmitt-Rink, D. S. Chemla, H. Haug, Phys. Rev. B 37, 941 (1988); M. Lindberg, S. W. Koch, Phys. Rev. B 38, 3342 (1988).
[CrossRef]

S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
[CrossRef]

D. G. Steel, S. C. Rand, Phys. Rev. Lett. 55, 2285 (1985).
[CrossRef] [PubMed]

S. Schmitt-Rink, C. Ell, J. Lumin. 30, 585 (1985).
[CrossRef]

1984 (2)

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
[CrossRef]

1983 (2)

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

1982 (1)

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

Berman, P. R.

Bhattacharya, P. K.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

Boggess, T. F.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Chemla, D. S.

S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
[CrossRef]

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

See, e.g., the recent review by D. S. Chemla, S. Schmitt-Rink, D. A. B. Miller, in Nonlinear Effects and Instabilities in Semiconductors, H. Haug, ed. (Academic, Orlando, Fla., 1988).

Eilenberger, D. J.

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

Ell, C.

S. Schmitt-Rink, C. Ell, J. Lumin. 30, 585 (1985).
[CrossRef]

Goldner, L.

J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
[CrossRef]

Gossard, A. C.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

Haug, H.

H. Haug, J. Lumin. 30, 171 (1985); J. F. Müller, R. Mewis, H. Haug, Z. Phys. B 69, 231 (1987); S. Schmitt-Rink, D. S. Chemla, H. Haug, Phys. Rev. B 37, 941 (1988); M. Lindberg, S. W. Koch, Phys. Rev. B 38, 3342 (1988).
[CrossRef]

Hegarty, J.

J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
[CrossRef]

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

Miller, D. A. B.

S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
[CrossRef]

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

See, e.g., the recent review by D. S. Chemla, S. Schmitt-Rink, D. A. B. Miller, in Nonlinear Effects and Instabilities in Semiconductors, H. Haug, ed. (Academic, Orlando, Fla., 1988).

Oh, J.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

Pamulapati, J.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

Rand, S. C.

D. G. Steel, S. C. Rand, Phys. Rev. Lett. 55, 2285 (1985).
[CrossRef] [PubMed]

Remillard, J.

D. G. Steel, J. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

Remillard, J. T.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

Schmitt-Rink, S.

S. Schmitt-Rink, C. Ell, J. Lumin. 30, 585 (1985).
[CrossRef]

S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
[CrossRef]

See, e.g., the recent review by D. S. Chemla, S. Schmitt-Rink, D. A. B. Miller, in Nonlinear Effects and Instabilities in Semiconductors, H. Haug, ed. (Academic, Orlando, Fla., 1988).

Smirl, A. L.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Smith, P. W.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

Steel, D. G.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

D. G. Steel, J. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

D. G. Steel, S. C. Rand, Phys. Rev. Lett. 55, 2285 (1985).
[CrossRef] [PubMed]

Sturge, M. D.

J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
[CrossRef]

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

Wang, H.

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

Wherrett, B. S.

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

Wiegmann, W.

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

Wiley, J. D.

J. D. Wiley, in Semiconductors and Semimetals, R. K. Willardson, A. C. Beer, eds. (Academic, New York, 1975), Vol. 10, p. 91.
[CrossRef]

Appl. Phys. Lett. (2)

J. Hegarty, M. D. Sturge, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 40, 132 (1982).
[CrossRef]

D. A. B. Miller, D. S. Chemla, D. J. Eilenberger, P. W. Smith, A. C. Gossard, W. Wiegmann, Appl. Phys. Lett. 42, 925 (1983).
[CrossRef]

IEEE J. Quantum Electron. (2)

B. S. Wherrett, A. L. Smirl, T. F. Boggess, IEEE J. Quantum Electron. QE-19, 680 (1983).
[CrossRef]

D. S. Chemla, D. A. B. Miller, P. W. Smith, A. C. Gossard, W. Wiegmann, IEEE J. Quantum Electron. QE-20, 265 (1984).
[CrossRef]

J. Lumin. (2)

S. Schmitt-Rink, C. Ell, J. Lumin. 30, 585 (1985).
[CrossRef]

H. Haug, J. Lumin. 30, 171 (1985); J. F. Müller, R. Mewis, H. Haug, Z. Phys. B 69, 231 (1987); S. Schmitt-Rink, D. S. Chemla, H. Haug, Phys. Rev. B 37, 941 (1988); M. Lindberg, S. W. Koch, Phys. Rev. B 38, 3342 (1988).
[CrossRef]

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

Phys. Rev. A (1)

D. G. Steel, J. Remillard, Phys. Rev. A 36, 4330 (1987).
[CrossRef] [PubMed]

Phys. Rev. B (2)

J. Hegarty, L. Goldner, M. D. Sturge, Phys. Rev. B 30, 7346 (1984).
[CrossRef]

S. Schmitt-Rink, D. S. Chemla, D. A. B. Miller, Phys. Rev. B 32, 6601 (1985).
[CrossRef]

Phys. Rev. Lett. (2)

J. T. Remillard, H. Wang, D. G. Steel, J. Oh, J. Pamulapati, P. K. Bhattacharya, Phys. Rev. Lett. 62, 2861 (1989).
[CrossRef] [PubMed]

D. G. Steel, S. C. Rand, Phys. Rev. Lett. 55, 2285 (1985).
[CrossRef] [PubMed]

Other (2)

J. D. Wiley, in Semiconductors and Semimetals, R. K. Willardson, A. C. Beer, eds. (Academic, New York, 1975), Vol. 10, p. 91.
[CrossRef]

See, e.g., the recent review by D. S. Chemla, S. Schmitt-Rink, D. A. B. Miller, in Nonlinear Effects and Instabilities in Semiconductors, H. Haug, ed. (Academic, Orlando, Fla., 1988).

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Figures (3)

Fig. 1
Fig. 1

Comparison of the room-temperature linear absorption (solid curve) and the FWMb response (points).

Fig. 2
Fig. 2

FWMp response. The solid curve is a least-squares fit of a simple Lorentzian. Inset (a) is a high-resolution spectrum of the tip of the primary curve showing an interference profile. Insets (b) and (c) show that such profiles can be seen in MOBE’s, which are phenomenologially modified to account for the nonlinear-optical response in semiconductors. Inset (c) is an enlargement of the central region of inset (b).

Fig. 3
Fig. 3

Linewidth in Fig. 2 as a function of the angle between the forward pump and probe beams. The solid curve is a least-squares fit of the linewidth described by recombination and ambipolar diffusion.

Equations (1)

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P NL = ζ f p * b ( i δ + γ + D a | Δ k | 2 ) 1 × exp ( i δ t + i Δ k x ) exp ( i ω b t + i k b x ) + c . c . ,

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