## Influence of quantum coherence on propagation of a pulsed light in a triple quantum well |

Optics Express, Vol. 19, Issue 13, pp. 11944-11950 (2011)

http://dx.doi.org/10.1364/OE.19.011944

Acrobat PDF (1112 KB)

### Abstract

In a triple semiconductor quantum well structure coupled by two external fields, we investigate the influence of atomic coherence induced by external fields and decay interference on the absorption and dispersion of a weak pulsed light, and slow light can be achieved in this system. Quantum well structure behaves as “artificial atom” and its advantage of easy integration makes it has some practical applications.

© 2011 OSA

1. M. Phillips and H. Wang,
“Electromagnetically induced transparency due to intervalence band
coherence in a GaAs quantum well,” Opt. Lett. **28**(10), 831–833
(2003). [CrossRef] [PubMed]

2. 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**(15), 155324 (2004). [CrossRef]

3. J.
F. Dynes, M.
D. Frogley, J. Rodger, and C.
C. Phillips, “Optically mediated coherent
population trapping in asymmetric semiconductor quantum wells,”
Phys. Rev. B **72**(8), 085323 (2005). [CrossRef]

4. W.
X. Yang, X.
X. Yang, and R.
K. Lee, “Carrier-envelope-phase
dependent coherence in double quantum wells,” Opt.
Express **17**(18), 15402–15408
(2009). [CrossRef] [PubMed]

5. C.
R. Lee, Y. Li, F.
K. Men, C. Pao, Y. Tsai, and J. Wang,
“Model for an inversionless two-color laser,”
Appl. Phys. Lett. **86**(20), 201112 (2005). [CrossRef]

6. H. Schmidt and R.
J. Ram, “All-optical wavelength
converter and switch based on electromagnetically induced
transparency,” Appl. Phys. Lett. **76**(22), 3173–3175
(2000). [CrossRef]

7. B. S. Ham,
“Potential applications of dark resonance to subpicosecond optical
switches in hyper-terahertz repetition rates,” Appl. Phys.
Lett. **78**(22), 3382–3384
(2001). [CrossRef]

8. J.
M. Tang, J. Levy, and M.
E. Flatté, “All-electrical control of
single ion spins in a semiconductor,” Phys. Rev. Lett. **97**(10), 106803 (2006). [CrossRef] [PubMed]

9. X. Lü and J. Wu,
“Three-mode entanglement via tunneling-induced interference in a coupled
triple-semiconductor quantum-well structure,” Phys. Rev.
A **82**(1), 012323 (2010). [CrossRef]

10. A. Fountoulakis, A. Terzis, and E. Paspalakis,
“Coherence phenomena due to double-dark states in a system with decay
interference,” Phys. Rev. A **73**(3), 033811 (2006). [CrossRef]

11. S.
E. Economou, R.
B. Liu, L.
J. Sham, and D.
G. Steel, “Unified theory of consequences
of spontaneous emission in a *Λ* system,”
Phys. Rev. B **71**(19), 195327 (2005). [CrossRef]

12. 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**(15), 157403 (2005). [CrossRef] [PubMed]

3. J.
F. Dynes, M.
D. Frogley, J. Rodger, and C.
C. Phillips, “Optically mediated coherent
population trapping in asymmetric semiconductor quantum wells,”
Phys. Rev. B **72**(8), 085323 (2005). [CrossRef]

13. H. Schmidt, K.
L. Campman, A.
C. Gossard, and A. Imamoglu,
“Tunneling induced transparency: Fano interference in intersubband
transitions,” Appl. Phys. Lett. **70**(25), 3455–3457
(1997). [CrossRef]

14. E. Paspalakis, N.
J. Kylstra, and P.
L. Knight, “Transparency induced via decay
interference,” Phys. Rev. Lett. **82**(10), 2079–2082
(1999). [CrossRef]

15. P. R. Berman,
“Spontaneously generated coherence and dark
states,” Phys. Rev. A **72**(3), 035801 (2005). [CrossRef]

5. C.
R. Lee, Y. Li, F.
K. Men, C. Pao, Y. Tsai, and J. Wang,
“Model for an inversionless two-color laser,”
Appl. Phys. Lett. **86**(20), 201112 (2005). [CrossRef]

9. X. Lü and J. Wu,
“Three-mode entanglement via tunneling-induced interference in a coupled
triple-semiconductor quantum-well structure,” Phys. Rev.
A **82**(1), 012323 (2010). [CrossRef]

_{0.2}Ga

_{0.8}As wells by a 2.5-nm-thick Al

_{0.4}Ga

_{0.6}As barrier. The two shallow wells are separated by a 2.0-nm-thick Al

_{0.4}Ga

_{0.8}As barrier. Both sides of quantum well contact with 36 nm Al

_{0.4}Ga

_{0.6}As. The electronic wave functions of the ground state of the deep well and the three excited states are shown with respective energies of 52.8 (

*t*)

*T*denotes transpose, and the Hamiltonian

*θ*being the angle between the two dipole elements. In experiment, the decay interference requires the levels

*p*is theoretically unrestricted (

*N*is the electron density in the coupled quantum well sample.

17. Y. Wu,
“Two-color ultraslow optical solitons via four-wave mixing in cold-atom
media,” Phys. Rev. A **71**(5), 053820 (2005). [CrossRef]

*ω*for Eq. (1) and

*ω*, so we obtainwhere the real part of

18. Y. Wu and X.
X. Yang, “Electromagnetically induced
transparency in V-, Λ-, and cascade-type schemes beyond steady-state
analysis,” Phys. Rev. A **71**(5), 053806 (2005). [CrossRef]

19. S. Yelin, V.
A. Sautenkov, M. Kash, G. Welch, and M. Lukin,
“Nonlinear optics via double dark resonances,”
Phys. Rev. A **68**(6), 063801 (2003). [CrossRef]

20. M.
D. Lukin, S.
F. Yelin, M. Fleischhauer, and M.
O. Scully, “Quantum interference effects
induced by interacting dark resonances,” Phys. Rev. A **60**(4), 3225–3228
(1999). [CrossRef]

*p*which denotes decay interference has different value without changing other parameters noted in Fig. 3(b). Comparing Fig. 4 with Fig. 3(b), we can find locations of transparent windows move significantly and the width of windows narrows when the decay interference intensifies from

*p*, the ratio

## Acknowledgments

## References and links

1. | M. Phillips and H. Wang,
“Electromagnetically induced transparency due to intervalence band
coherence in a GaAs quantum well,” Opt. Lett. |

2. | 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 |

3. | J.
F. Dynes, M.
D. Frogley, J. Rodger, and C.
C. Phillips, “Optically mediated coherent
population trapping in asymmetric semiconductor quantum wells,”
Phys. Rev. B |

4. | W.
X. Yang, X.
X. Yang, and R.
K. Lee, “Carrier-envelope-phase
dependent coherence in double quantum wells,” Opt.
Express |

5. | C.
R. Lee, Y. Li, F.
K. Men, C. Pao, Y. Tsai, and J. Wang,
“Model for an inversionless two-color laser,”
Appl. Phys. Lett. |

6. | H. Schmidt and R.
J. Ram, “All-optical wavelength
converter and switch based on electromagnetically induced
transparency,” Appl. Phys. Lett. |

7. | B. S. Ham,
“Potential applications of dark resonance to subpicosecond optical
switches in hyper-terahertz repetition rates,” Appl. Phys.
Lett. |

8. | J.
M. Tang, J. Levy, and M.
E. Flatté, “All-electrical control of
single ion spins in a semiconductor,” Phys. Rev. Lett. |

9. | X. Lü and J. Wu,
“Three-mode entanglement via tunneling-induced interference in a coupled
triple-semiconductor quantum-well structure,” Phys. Rev.
A |

10. | A. Fountoulakis, A. Terzis, and E. Paspalakis,
“Coherence phenomena due to double-dark states in a system with decay
interference,” Phys. Rev. A |

11. | S.
E. Economou, R.
B. Liu, L.
J. Sham, and D.
G. Steel, “Unified theory of consequences
of spontaneous emission in a |

12. | 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. |

13. | H. Schmidt, K.
L. Campman, A.
C. Gossard, and A. Imamoglu,
“Tunneling induced transparency: Fano interference in intersubband
transitions,” Appl. Phys. Lett. |

14. | E. Paspalakis, N.
J. Kylstra, and P.
L. Knight, “Transparency induced via decay
interference,” Phys. Rev. Lett. |

15. | P. R. Berman,
“Spontaneously generated coherence and dark
states,” Phys. Rev. A |

16. | B. K. Ridley, |

17. | Y. Wu,
“Two-color ultraslow optical solitons via four-wave mixing in cold-atom
media,” Phys. Rev. A |

18. | Y. Wu and X.
X. Yang, “Electromagnetically induced
transparency in V-, Λ-, and cascade-type schemes beyond steady-state
analysis,” Phys. Rev. A |

19. | S. Yelin, V.
A. Sautenkov, M. Kash, G. Welch, and M. Lukin,
“Nonlinear optics via double dark resonances,”
Phys. Rev. A |

20. | M.
D. Lukin, S.
F. Yelin, M. Fleischhauer, and M.
O. Scully, “Quantum interference effects
induced by interacting dark resonances,” Phys. Rev. A |

**OCIS Codes**

(270.1670) Quantum optics : Coherent optical effects

(250.5590) Optoelectronics : Quantum-well, -wire and -dot devices

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: March 7, 2011

Revised Manuscript: April 19, 2011

Manuscript Accepted: May 27, 2011

Published: June 6, 2011

**Citation**

Aixi Chen, "Influence of quantum coherence on propagation of a pulsed light in a triple quantum well," Opt. Express **19**, 11944-11950 (2011)

http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-13-11944

Sort: Year | Journal | Reset

### References

- M. Phillips and H. Wang, “Electromagnetically induced transparency due to intervalence band coherence in a GaAs quantum well,” Opt. Lett. 28(10), 831–833 (2003). [CrossRef] [PubMed]
- 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(15), 155324 (2004). [CrossRef]
- J. F. Dynes, M. D. Frogley, J. Rodger, and C. C. Phillips, “Optically mediated coherent population trapping in asymmetric semiconductor quantum wells,” Phys. Rev. B 72(8), 085323 (2005). [CrossRef]
- W. X. Yang, X. X. Yang, and R. K. Lee, “Carrier-envelope-phase dependent coherence in double quantum wells,” Opt. Express 17(18), 15402–15408 (2009). [CrossRef] [PubMed]
- C. R. Lee, Y. Li, F. K. Men, C. Pao, Y. Tsai, and J. Wang, “Model for an inversionless two-color laser,” Appl. Phys. Lett. 86(20), 201112 (2005). [CrossRef]
- H. Schmidt and R. J. Ram, “All-optical wavelength converter and switch based on electromagnetically induced transparency,” Appl. Phys. Lett. 76(22), 3173–3175 (2000). [CrossRef]
- B. S. Ham, “Potential applications of dark resonance to subpicosecond optical switches in hyper-terahertz repetition rates,” Appl. Phys. Lett. 78(22), 3382–3384 (2001). [CrossRef]
- J. M. Tang, J. Levy, and M. E. Flatté, “All-electrical control of single ion spins in a semiconductor,” Phys. Rev. Lett. 97(10), 106803 (2006). [CrossRef] [PubMed]
- X. Lü and J. Wu, “Three-mode entanglement via tunneling-induced interference in a coupled triple-semiconductor quantum-well structure,” Phys. Rev. A 82(1), 012323 (2010). [CrossRef]
- A. Fountoulakis, A. Terzis, and E. Paspalakis, “Coherence phenomena due to double-dark states in a system with decay interference,” Phys. Rev. A 73(3), 033811 (2006). [CrossRef]
- S. E. Economou, R. B. Liu, L. J. Sham, and D. G. Steel, “Unified theory of consequences of spontaneous emission in a Λ system,” Phys. Rev. B 71(19), 195327 (2005). [CrossRef]
- 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(15), 157403 (2005). [CrossRef] [PubMed]
- H. Schmidt, K. L. Campman, A. C. Gossard, and A. Imamoglu, “Tunneling induced transparency: Fano interference in intersubband transitions,” Appl. Phys. Lett. 70(25), 3455–3457 (1997). [CrossRef]
- E. Paspalakis, N. J. Kylstra, and P. L. Knight, “Transparency induced via decay interference,” Phys. Rev. Lett. 82(10), 2079–2082 (1999). [CrossRef]
- P. R. Berman, “Spontaneously generated coherence and dark states,” Phys. Rev. A 72(3), 035801 (2005). [CrossRef]
- B. K. Ridley, Quantum Processes in Semiconductors (Clarendon Press, 1988).
- Y. Wu, “Two-color ultraslow optical solitons via four-wave mixing in cold-atom media,” Phys. Rev. A 71(5), 053820 (2005). [CrossRef]
- Y. Wu and X. X. Yang, “Electromagnetically induced transparency in V-, Λ-, and cascade-type schemes beyond steady-state analysis,” Phys. Rev. A 71(5), 053806 (2005). [CrossRef]
- S. Yelin, V. A. Sautenkov, M. Kash, G. Welch, and M. Lukin, “Nonlinear optics via double dark resonances,” Phys. Rev. A 68(6), 063801 (2003). [CrossRef]
- M. D. Lukin, S. F. Yelin, M. Fleischhauer, and M. O. Scully, “Quantum interference effects induced by interacting dark resonances,” Phys. Rev. A 60(4), 3225–3228 (1999). [CrossRef]

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.