Abstract

We propose a new scheme for lasing without population inversion that utilizes interferences in double-quantum-well intersubband transitions. In contrast to the previous inversionless laser schemes based on atomic systems, the new proposal permits us to use band-gap engineering to choose the subband energies, coupling strengths, and decay rates, as desired, and permits us to create a laser system that does not require population inversion. We present detailed calculations on a specific scheme and discuss possible extensions.

© 1994 Optical Society of America

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  1. S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
    [CrossRef] [PubMed]
  2. V. G. Arkhipikin, Y. I. Heller, Phys. Lett. A 98, 12 (1983); A. Lyras, Z. Tang, P. Lambropoulos, J. Zhang, Phys. Rev. A 40, 4131 (1989); G. S. Agrawal, S. Ravi, J. Cooper, Phys. Rev. A 41, 4727 (1990).
    [CrossRef] [PubMed]
  3. O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 52 (1990); M. O. Scully, S.-Y. Zhu, Phys. Rev. Lett. 62, 2813 (1989).
    [CrossRef] [PubMed]
  4. A. Imamoḡlu, S. E. Harris, Opt. Lett. 14, 1344 (1989).
    [CrossRef]
  5. A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
    [CrossRef]
  6. A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
    [CrossRef] [PubMed]
  7. C. Weisbuch, B. Vinter, Quantum Semiconductor Structures (Academic, San Diego, Calif., 1991).
  8. J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
    [CrossRef] [PubMed]
  9. K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
    [CrossRef] [PubMed]
  10. U. Fano, Phys. Rev. 124, 1866 (1961).
    [CrossRef]
  11. J. Shah, Hot Carriers in Semiconductor Nanostructures (Academic, San Diego, Calif., 1992).
  12. R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
    [CrossRef]
  13. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halsted, Paris, 1988).
  14. K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
    [CrossRef] [PubMed]

1994 (1)

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

1993 (1)

A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
[CrossRef] [PubMed]

1991 (3)

K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
[CrossRef] [PubMed]

A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
[CrossRef]

K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
[CrossRef] [PubMed]

1990 (1)

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 52 (1990); M. O. Scully, S.-Y. Zhu, Phys. Rev. Lett. 62, 2813 (1989).
[CrossRef] [PubMed]

1989 (2)

1986 (1)

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

1983 (1)

V. G. Arkhipikin, Y. I. Heller, Phys. Lett. A 98, 12 (1983); A. Lyras, Z. Tang, P. Lambropoulos, J. Zhang, Phys. Rev. A 40, 4131 (1989); G. S. Agrawal, S. Ravi, J. Cooper, Phys. Rev. A 41, 4727 (1990).
[CrossRef] [PubMed]

1961 (1)

U. Fano, Phys. Rev. 124, 1866 (1961).
[CrossRef]

Arkhipikin, V. G.

V. G. Arkhipikin, Y. I. Heller, Phys. Lett. A 98, 12 (1983); A. Lyras, Z. Tang, P. Lambropoulos, J. Zhang, Phys. Rev. A 40, 4131 (1989); G. S. Agrawal, S. Ravi, J. Cooper, Phys. Rev. A 41, 4727 (1990).
[CrossRef] [PubMed]

Bastard, G.

G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halsted, Paris, 1988).

Boller, K.-J.

K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
[CrossRef] [PubMed]

Capasso, F.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Cho, A. Y.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Faist, J.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Fano, U.

U. Fano, Phys. Rev. 124, 1866 (1961).
[CrossRef]

Field, J. E.

A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
[CrossRef]

Gobel, E. O.

K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
[CrossRef] [PubMed]

Harris, S. E.

A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
[CrossRef]

K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
[CrossRef] [PubMed]

S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
[CrossRef] [PubMed]

A. Imamoḡlu, S. E. Harris, Opt. Lett. 14, 1344 (1989).
[CrossRef]

Heller, Y. I.

V. G. Arkhipikin, Y. I. Heller, Phys. Lett. A 98, 12 (1983); A. Lyras, Z. Tang, P. Lambropoulos, J. Zhang, Phys. Rev. A 40, 4131 (1989); G. S. Agrawal, S. Ravi, J. Cooper, Phys. Rev. A 41, 4727 (1990).
[CrossRef] [PubMed]

Hutchinson, A. L.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Imamo?lu, A.

A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
[CrossRef]

K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
[CrossRef] [PubMed]

A. Imamoḡlu, S. E. Harris, Opt. Lett. 14, 1344 (1989).
[CrossRef]

Kocharovskaya, O.

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 52 (1990); M. O. Scully, S.-Y. Zhu, Phys. Rev. Lett. 62, 2813 (1989).
[CrossRef] [PubMed]

Kopf, R. F.

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

Lange, W.

A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
[CrossRef] [PubMed]

Mandel, P.

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 52 (1990); M. O. Scully, S.-Y. Zhu, Phys. Rev. Lett. 62, 2813 (1989).
[CrossRef] [PubMed]

Maschke, K.

K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
[CrossRef] [PubMed]

Miller, R. C.

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

Nottelmann, A.

A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
[CrossRef] [PubMed]

Peters, C.

A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
[CrossRef] [PubMed]

Shah, J.

J. Shah, Hot Carriers in Semiconductor Nanostructures (Academic, San Diego, Calif., 1992).

Sirtori, C.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Sivco, D. L.

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Sputz, S. K.

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

Thomas, P.

K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
[CrossRef] [PubMed]

Tu, C. W.

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

Vinter, B.

C. Weisbuch, B. Vinter, Quantum Semiconductor Structures (Academic, San Diego, Calif., 1991).

Weisbuch, C.

C. Weisbuch, B. Vinter, Quantum Semiconductor Structures (Academic, San Diego, Calif., 1991).

Appl. Phys. Lett. (1)

R. C. Miller, C. W. Tu, S. K. Sputz, R. F. Kopf, Appl. Phys. Lett. 49, 1245 (1986).
[CrossRef]

Opt. Lett. (1)

Phys. Lett. A (1)

V. G. Arkhipikin, Y. I. Heller, Phys. Lett. A 98, 12 (1983); A. Lyras, Z. Tang, P. Lambropoulos, J. Zhang, Phys. Rev. A 40, 4131 (1989); G. S. Agrawal, S. Ravi, J. Cooper, Phys. Rev. A 41, 4727 (1990).
[CrossRef] [PubMed]

Phys. Rev. (1)

U. Fano, Phys. Rev. 124, 1866 (1961).
[CrossRef]

Phys. Rev. A (1)

O. Kocharovskaya, P. Mandel, Phys. Rev. A 42, 52 (1990); M. O. Scully, S.-Y. Zhu, Phys. Rev. Lett. 62, 2813 (1989).
[CrossRef] [PubMed]

Phys. Rev. Lett. (5)

K.-J. Boller, A. Imamoḡlu, S. E. Harris, Phys. Rev. Lett. 66, 2593 (1991); J. E. Field, K. H. Hahn, S. E. Harris, Phys. Rev. Lett. 67, 3062 (1991).
[CrossRef] [PubMed]

S. E. Harris, Phys. Rev. Lett. 62, 1033 (1989).
[CrossRef] [PubMed]

A. Imamoḡlu, J. E. Field, S. E. Harris, Phys. Rev. Lett. 66, 1154 (1991); G. S. Agrawal, Phys. Rev. A 44, 4727 (1991).
[CrossRef]

A. Nottelmann, C. Peters, W. Lange, Phys. Rev. Lett. 70, 1783 (1993); E. S. Fry, X. Li, D. E. Nikonov, G. G. Padmabandu, M. O. Scully, A. V. Smith, F. K. Tittel, C. Wang, S. R. Wilkinson, S.-Y. Zhu, Phys. Rev. Lett. 70, 3235 (1993); W. E. van der Veer, R. J. J. van Diest, A. Donszelmann, H. B. van Linden van den Heuvell, Phys. Rev. Lett. 70, 3243 (1993).
[CrossRef] [PubMed]

K. Maschke, P. Thomas, E. O. Gobel, Phys. Rev. Lett. 67, 2646 (1991); J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, K. W. West, Phys. Rev. Lett. 71, 3573 (1993); D. Y. Oberli, G. Bohm, G. Weimann, J. A. Brum, Phys. Rev. B 49, 5757 (1994).
[CrossRef] [PubMed]

Science (1)

J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, A. Y. Cho, Science 264, 553 (1994).
[CrossRef] [PubMed]

Other (3)

C. Weisbuch, B. Vinter, Quantum Semiconductor Structures (Academic, San Diego, Calif., 1991).

J. Shah, Hot Carriers in Semiconductor Nanostructures (Academic, San Diego, Calif., 1992).

G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Halsted, Paris, 1988).

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Figures (3)

Fig. 1
Fig. 1

Bare-state energy-level diagrams for (a) the unipolar DQW and (b) the inversionless three-level atomic schemes.

Fig. 2
Fig. 2

Dressed-state energy-level diagram for our DQW structure. It is assumed that the bare subbands |2〉 and |3〉 are resonant, so that the dressed-subband energy splitting is determined by the coherent resonant tunneling rate.

Fig. 3
Fig. 3

Normalized transmission profile of a probe field as a function of the probe wavelength. The transmission minima occur at the dressed-subband energies. We assume a 0.1-mm-long structure, giving a peak gain of e0.03. Parameters of the structure are the same as those given in the text.

Equations (2)

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α 13 ( ω p ) 128 e 2 27 π 2 n r m e * 0 c L opt ( n 1 - n 3 ) γ / 2 ( ω p - ω 31 ) 2 + γ 2 / 4 ,
g ( ω 31 ) σ 13 ( ω 31 ) [ Γ 3 2 Γ 3 2 + 2 Ω 23 2 ( n 2 + n 3 ) - γ 21 Γ 3 Ω 23 2 n 1 ] ,

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