Abstract

By analyzing the interaction of a few-cycle laser pulse within an asymmetric semiconductor double quantum well structure, we show that the transient coherence thus produced is strongly dependent on the carrier-envelope-phase (CEP) and significantly enhanced due to the Fano-type interference. A method to determine the CEP is proposed by directly mapping the CEP dependent coherence to the quantum beat signals.

© 2009 Optical Society of America

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  4. J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).
  5. G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
    [PubMed]
  6. L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).
  7. T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).
  8. S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).
  9. M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).
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  11. J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).
  12. B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).
  13. T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).
  14. K. A. Pronin and A. D. Bandrauk, "Coherent Control of Harmonic Generation in Superlattices: Single-Mode Response," Phys. Rev. Lett. 97, 020602 (2006).
  15. C. Van Vlack and S. Hughes, "Carrier-Envelope-Offset Phase Control of Ultrafast Optical Rectification in Resonantly Excited Semiconductors, " Phys. Rev. Lett. 98, 167404 (2007).
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  21. W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).
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  25. I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).
  26. E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).
  27. E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).
  28. J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).
  29. W. X. Yang and R.-K. Lee, "Controllable entanglement and polarization phase gate in coupled double quantumwell structures," Opt. Express 16, 17161-17170 (2008).
    [PubMed]
  30. W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).
  31. D. Ahn and S. L. Chuang, "Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance," Phys. Rev. B 34, 9034-9037 (2008).
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2008 (4)

C. Zhang, X. Song, W. Yang, and Z. Xu, "Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well," Opt. Express 16, 11487-1496 (2008).

W. X. Yang and R.-K. Lee, "Controllable entanglement and polarization phase gate in coupled double quantumwell structures," Opt. Express 16, 17161-17170 (2008).
[PubMed]

W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).

D. Ahn and S. L. Chuang, "Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance," Phys. Rev. B 34, 9034-9037 (2008).

2007 (4)

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

C. Van Vlack and S. Hughes, "Carrier-Envelope-Offset Phase Control of Ultrafast Optical Rectification in Resonantly Excited Semiconductors, " Phys. Rev. Lett. 98, 167404 (2007).

Y. Wu and X. Yang, "Carrier-envelope phase-dependent atomic coherence and quantum beats," Phys. Rev. A 76, 013832 (2007).

Y. Wu and X. Yang, "Strong-Coupling Theory of Periodically Driven Two-Level Systems," Phys. Rev. Lett. 98, 013601 (2007).

2006 (5)

T. Nakajima and S. Watanabe, "Effects of the carrier-encelope phase in the multiphoton ionization regime," Phys. Rev. Lett. 96, 213001 (2006).

T. Nakajima and S. Watanabe, "Phase-dependent excitation and ionization in the multiphoton ionization regime," Opt. Lett. 31, 1920-1922 (2006).
[PubMed]

K. A. Pronin and A. D. Bandrauk, "Coherent Control of Harmonic Generation in Superlattices: Single-Mode Response," Phys. Rev. Lett. 97, 020602 (2006).

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

E. Paspalakis, M. Tsaousidou, and A. F. Terzis, "Coherent manipulation of a strongly driven semicondutor quantum well," Phys. Rev. B 73, 125344 (2006).

2005 (3)

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

G. L. Kamta and A. D. Bandrauk, "Phase Dependence of Enhanced Ionization in Asymmetric Molecules," Phys. Rev. Lett. 94, 203003 (2005).

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

2004 (3)

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

2002 (1)

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

2000 (1)

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

1999 (4)

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).

1997 (3)

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

1996 (1)

H. Schmidt and A. Imamoglu, "Nonlinear optical devices based on a transparency in semiconductor intersubband transitions," Opt. Commun. 131, 333-338 (1996).

Ahn, D.

D. Ahn and S. L. Chuang, "Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance," Phys. Rev. B 34, 9034-9037 (2008).

Artoni, M.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Bandrauk, A. D.

K. A. Pronin and A. D. Bandrauk, "Coherent Control of Harmonic Generation in Superlattices: Single-Mode Response," Phys. Rev. Lett. 97, 020602 (2006).

G. L. Kamta and A. D. Bandrauk, "Phase Dependence of Enhanced Ionization in Asymmetric Molecules," Phys. Rev. Lett. 94, 203003 (2005).

Bassani, F.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

Beck, M.

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

Bhat, R. D. R.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Campman, K. L.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

Capasso, F.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Cheng, Y.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

Chuang, S. L.

D. Ahn and S. L. Chuang, "Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance," Phys. Rev. B 34, 9034-9037 (2008).

Cundiff, S. T.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Czajkowski, G.

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

Davoudi, B.

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

Dynes, J. F.

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

Elsaesser, T.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

F¨orstner, J.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Faist, J.

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Frogley, M. D.

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

Frontier, T. M.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Gao, J. Y.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Gong, S.

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

Gossard, A. C.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

Hey, R.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Hou, J. M.

W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).

Hu, Q.

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

Hughes, S.

C. Van Vlack and S. Hughes, "Carrier-Envelope-Offset Phase Control of Ultrafast Optical Rectification in Resonantly Excited Semiconductors, " Phys. Rev. Lett. 98, 167404 (2007).

Hutchinson, A. L.

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Imamoglu, A.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

H. Schmidt and A. Imamoglu, "Nonlinear optical devices based on a transparency in semiconductor intersubband transitions," Opt. Commun. 131, 333-338 (1996).

Jones, D. J.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Kaindl, R. A.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Kamta, G. L.

G. L. Kamta and A. D. Bandrauk, "Phase Dependence of Enhanced Ionization in Asymmetric Molecules," Phys. Rev. Lett. 94, 203003 (2005).

Knight, P. L.

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).

Knorr, A.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Kylstrra, N. J.

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).

La Rocca, G. C.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Lee, R.-K.

W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).

W. X. Yang and R.-K. Lee, "Controllable entanglement and polarization phase gate in coupled double quantumwell structures," Opt. Express 16, 17161-17170 (2008).
[PubMed]

Lee, S.-C.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Leffler, S. R.

S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).

Melloch, M. R.

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

Meyer, J.

S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).

Müller, T.

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

Nakajima, T.

T. Nakajima and S. Watanabe, "Effects of the carrier-encelope phase in the multiphoton ionization regime," Phys. Rev. Lett. 96, 213001 (2006).

T. Nakajima and S. Watanabe, "Phase-dependent excitation and ionization in the multiphoton ionization regime," Opt. Lett. 31, 1920-1922 (2006).
[PubMed]

Parz, W.

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

Paspalakis, E.

E. Paspalakis, M. Tsaousidou, and A. F. Terzis, "Coherent manipulation of a strongly driven semicondutor quantum well," Phys. Rev. B 73, 125344 (2006).

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).

Pfeiffer, L. N.

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

Phillips, C. C.

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

Ploog, K. H.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Pronin, K. A.

K. A. Pronin and A. D. Bandrauk, "Coherent Control of Harmonic Generation in Superlattices: Single-Mode Response," Phys. Rev. Lett. 97, 020602 (2006).

Reimann, K.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Roos, P. A.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Sadeghi, S. M.

S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).

Schmidt, H.

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

H. Schmidt and A. Imamoglu, "Nonlinear optical devices based on a transparency in semiconductor intersubband transitions," Opt. Commun. 131, 333-338 (1996).

Serapiglia, G. B.

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

Silvestri, L.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

Sipe, J. E.

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

Sirtori, C.

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Song, X.

C. Zhang, X. Song, W. Yang, and Z. Xu, "Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well," Opt. Express 16, 11487-1496 (2008).

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

Strasser, G.

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

Terzis, A. F.

E. Paspalakis, M. Tsaousidou, and A. F. Terzis, "Coherent manipulation of a strongly driven semicondutor quantum well," Phys. Rev. B 73, 125344 (2006).

Tsaousidou, M.

E. Paspalakis, M. Tsaousidou, and A. F. Terzis, "Coherent manipulation of a strongly driven semicondutor quantum well," Phys. Rev. B 73, 125344 (2006).

Unterrainer, K.

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

Van Vlack, C.

C. Van Vlack and S. Hughes, "Carrier-Envelope-Offset Phase Control of Ultrafast Optical Rectification in Resonantly Excited Semiconductors, " Phys. Rev. Lett. 98, 167404 (2007).

Vodopyanov, K. L.

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

Waldmüller, I.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Watanabe, S.

T. Nakajima and S. Watanabe, "Effects of the carrier-encelope phase in the multiphoton ionization regime," Phys. Rev. Lett. 96, 213001 (2006).

T. Nakajima and S. Watanabe, "Phase-dependent excitation and ionization in the multiphoton ionization regime," Opt. Lett. 31, 1920-1922 (2006).
[PubMed]

West, K. W.

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Williams, B. S.

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

Woerner, M.

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

Wu, J. H.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Wu, Y.

Y. Wu and X. Yang, "Carrier-envelope phase-dependent atomic coherence and quantum beats," Phys. Rev. A 76, 013832 (2007).

Y. Wu and X. Yang, "Strong-Coupling Theory of Periodically Driven Two-Level Systems," Phys. Rev. Lett. 98, 013601 (2007).

Xu, B.

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

Xu, J. H.

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Xu, Z.

C. Zhang, X. Song, W. Yang, and Z. Xu, "Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well," Opt. Express 16, 11487-1496 (2008).

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

Yang, W.

C. Zhang, X. Song, W. Yang, and Z. Xu, "Carrier-envelope phase control of carrier-wave Rabi flopping in asymmetric semiparabolic quantum well," Opt. Express 16, 11487-1496 (2008).

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

Yang, W. X.

W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).

W. X. Yang and R.-K. Lee, "Controllable entanglement and polarization phase gate in coupled double quantumwell structures," Opt. Express 16, 17161-17170 (2008).
[PubMed]

Yang, X.

Y. Wu and X. Yang, "Strong-Coupling Theory of Periodically Driven Two-Level Systems," Phys. Rev. Lett. 98, 013601 (2007).

Y. Wu and X. Yang, "Carrier-envelope phase-dependent atomic coherence and quantum beats," Phys. Rev. A 76, 013832 (2007).

Zhang, C.

Appl. Phys. Lett. (3)

H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoğlu, "Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455-3457 (1997).

B. S. Williams, B. Xu, Q. Hu, and M. R. Melloch, "Narrow-linewidth terahertz intersubband emission from three-level systems," Appl. Phys. Lett. 75, 2927-2929 (1999).

J. Faist, F. Capasso, C. Sirtori, A. L. Hutchinson, K. W. West, and L. N. Pfeiffer, "Itersubband emission in double-well structure with quantum interference in absorption," Appl. Phys. Lett. 71, 3477-3479 (1997).

Eur. Phys. J. B (1)

L. Silvestri, F. Bassani, G. Czajkowski, and B. Davoudi, "Electromagnetically induced transparency in asymmetric double quantum wells," Eur. Phys. J. B 27, 89-102 (2002).

Nature (London) (1)

J. Faist, F. Capasso, C. Sirtori, K. W. West, and L. N. Pfeiffer, "Controlling the sign of quantum interference by tunnelling from quantum wells," Nature (London) 390, 589-591 (1997).

Nature Materials (1)

M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips, "Gain without inversion in semiconductor nanostructures," Nature Materials 5, 175-178 (2006).

Opt. Commun. (1)

H. Schmidt and A. Imamoglu, "Nonlinear optical devices based on a transparency in semiconductor intersubband transitions," Opt. Commun. 131, 333-338 (1996).

Opt. Express (2)

Opt. Lett. (1)

Phys. Rev. A (3)

Y. Wu and X. Yang, "Carrier-envelope phase-dependent atomic coherence and quantum beats," Phys. Rev. A 76, 013832 (2007).

W. X. Yang, J. M. Hou, and R.-K. Lee, "Ultraslow bright and dark solitons in semiconductor quantum wells," Phys. Rev. A 77, 033838 (2008).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency of a short laser pulse via decay interference in a closed V-type system," Phys. Rev. A 61, 045802 (1999).

Phys. Rev. B (5)

D. Ahn and S. L. Chuang, "Exact calculations of quasibound states of an isolated quantum well with uniform electric field: Quantum-well stark resonance," Phys. Rev. B 34, 9034-9037 (2008).

I. Waldmüller, J. F¨orstner, S.-C. Lee, A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, T. Elsaesser, R. Hey, and K. H. Ploog, "Optical dephasing of coherent intersubband transitions in a quasi-two-dimensional electron gas," Phys. Rev. B 69, 205307 (2004).

E. Paspalakis, M. Tsaousidou, and A. F. Terzis, "Coherent manipulation of a strongly driven semicondutor quantum well," Phys. Rev. B 73, 125344 (2006).

T. Müller, W. Parz, G. Strasser, and K. Unterrainer, "Influence of carrier-carrier interaction on time-dependent intersubband absorption in a semiconductor quantum well, " Phys. Rev. B 70, 155324 (2004).

S. M. Sadeghi, S. R. Leffler, and J. Meyer, "Quantum interference and nonlinear optical processes in the conduction bands of infrared-coupled quantum wells, " Phys. Rev. B 59, 15388-15394 (1999).

Phys. Rev. Lett. (11)

J. F. Dynes, M. D. Frogley, M. Beck, J. Faist, and C. C. Phillips, "ac Stark Splitting and Quantum Interference with Intersubband Transitions in Quantum Wells," Phys. Rev. Lett. 94, 157403 (2005).

G. B. Serapiglia, E. Paspalakis, C. Sirtori, K. L. Vodopyanov, and C. C. Phillips, "Laser-induced quantum coherence in a semiconductor quantum well," Phys. Rev. Lett. 84, 1019-1021 (2000).
[PubMed]

Y. Wu and X. Yang, "Strong-Coupling Theory of Periodically Driven Two-Level Systems," Phys. Rev. Lett. 98, 013601 (2007).

G. L. Kamta and A. D. Bandrauk, "Phase Dependence of Enhanced Ionization in Asymmetric Molecules," Phys. Rev. Lett. 94, 203003 (2005).

W. Yang, X. Song, S. Gong, Y. Cheng, and Z. Xu, "Carrier-Envelope Phase Dependence of Few-Cycle Ultrashort Laser Pulse Propagation in a Polar Molecule Medium," Phys. Rev. Lett. 99, 133602 (2007).

T. M. Frontier, P. A. Roos, D. J. Jones, S. T. Cundiff, R. D. R. Bhat, and J. E. Sipe, "Carrier-Envelope Phase-Controlled Quantum Interference of Injected Photocurrents in Semiconductors," Phys. Rev. Lett. 92, 147403 (2004).

K. A. Pronin and A. D. Bandrauk, "Coherent Control of Harmonic Generation in Superlattices: Single-Mode Response," Phys. Rev. Lett. 97, 020602 (2006).

C. Van Vlack and S. Hughes, "Carrier-Envelope-Offset Phase Control of Ultrafast Optical Rectification in Resonantly Excited Semiconductors, " Phys. Rev. Lett. 98, 167404 (2007).

T. Nakajima and S. Watanabe, "Effects of the carrier-encelope phase in the multiphoton ionization regime," Phys. Rev. Lett. 96, 213001 (2006).

E. Paspalakis, N. J. Kylstrra, and P. L. Knight, "Transparency induced via decay interference," Phys. Rev. Lett. 82, 2079-2082 (1999).

J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).

Other (3)

M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, England, 1997).

Z. Ficek and S. Swain, Quantum Interference and Coherence (Springer, New York, 2004).

H.C. Liu and F. Capasso, Intersubband Transitions in Quantum Wells: Physics and Device Applications (Academic Press, San Diego, 2000).

Cited By

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Figures (3)

Fig. 1.
Fig. 1.

(a) Schematic diagram of our proposed GaAs/AlxGa1-xAs QW structure illuminated by an ultrashort few-cycle laser pulse in (b), where the electric field E(t) of the ultrashort pulse versus time t is shown for ϕ=π/2.

Fig. 2.
Fig. 2.

The transient coherence ρ 23×104 versus the CEP, ϕ, (solid curves for the real part; dashed curves for the imaginary part; and dotted curves for the absolute value, respectively) at the time t=4τ for different widths, τ, and Rabi frequencies, Ω, of the pulse with other parameters h̄ω=125 meV, q=1.2, Δ=0, 2δ=7.6 meV, γ2l =5.6 meV, γ3l =7.0 meV, γ2d =4.13 meV, and γ3d =5.35 meV.

Fig. 3.
Fig. 3.

The transient coherence |ρ 23|×104 versus the CEP ϕ for the case of (a, c) p=0 and (b, d) p=1 at the time t=4τ for different widths, τ, and Rabi frequencies, Ω, of the pulse with other parameters h̄ω=125 meV, q=1.2, Δ=0, 2δ=17.6 meV, γ2l =0.31 meV, γ3l =0.26 meV, γ2d =0.031 meV, and γ3d =0.026 meV.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

a.1 = i Ω ξ (t)[a2(t)eiΔt+qa3ei(Δ+δ)t],
a.2 = γ2 a2 + i Ω ξ (t)a1eiΔt+pγ2γ3a3eiδt,
a.3 = γ3 γ3 + i Ω ξ (t)qa1ei(Δ+δ)t + p γ2γ3 a2 eiδt ,
I = ψ(T)Ê1()(T)Ê2(+)(T)ψ(T)+c.c.,
i(ddT+γj)ajpγ2γ3(a3δj,2+a2δj,3)=gjbj,
i dbjdT gj aj = 0,j=2,3,
I = I0 (ϕ)cos[2δ(Tt)+η(t)],

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