Giant kerr nonlinearity, controlled entangled photons and polarization phase gates in coupled quantum-well structures

Optics Express

Volumn 19, Issue 23, 2011, Pages 23364-23376

  Zhu, Chengjie ^a   Huang, Guoxiang ^a  

^a EAST CHINA NORMAL UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

MULTIPHOTON PROCESSES; OPTICAL KERR EFFECT; PHOTONS; POLARIZATION; PROBES; SEMICONDUCTOR DEVICE STRUCTURES; SEMICONDUCTOR QUANTUM WELLS; SLOW LIGHT; SOLITONS;

ENTANGLED PHOTON PAIRS; ENTANGLED PHOTONS; GROUP VELOCITIES; KERR NONLINEARITY; MULTIPLE QUANTUM-WELL STRUCTURES; NONLINEAR PROPAGATION; POLARIZATION PHASE; QUANTUM POLARIZATION; QUANTUM WELL STRUCTURES; SIGNAL PULSE; SLOW-LIGHT SOLITONS; TWO-QUBIT;

QUANTUM ENTANGLEMENT;

EID: 80755167721     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.023364     Document Type: Article

References (37)

1. R. W. Boyd, Nonlinear Optics (2cd edition) (Academic, San Diego, 2003).
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge, England, 2000).
3. M. Fleischhauer, A. Imamoǧlu and J. P. Marangos, "Electromagnetically induced transparency: Optics in coherent media," Rev. Mod. Phys. 77, 633-673 (2005).
4. Y. Wu and L. Deng,"Ultraslow Optical Solitons in a Cold Four-State Medium ," Phys. Rev. Lett. 93, 143904 (2004).
5. G. Huang, L. Deng and M. G. Payne,"Dynamics of ultraslow optical solitons in a cold three-state atomic system," Phys. Rev. E 72, 016617 (2005).
6. M. D. Lukin and A. Imamoǧlu,"Nonlinear Optics and Quantum Entanglement of Ultraslow Single Photons," Phys. Rev. Lett. 84, 1419 (2000).
7. C. Ottaviani, D. Vitali, M. Artoni, F. Cataliotti and P. Tombesi, "Polarization Qubit Phase Gate in Driven Atomic Media," Phys. Rev. Lett. 90, 197902 (2003).
8. D. E. Nikonov, A. Imamoglu, and M. O. Scully,"Fano interference of collective excitations in semiconductor quantum wells and lasing without inversion," Phys. Rev. B 59, 12212 (1999).
9. M. D. Frogley, J. F. Dynes, M. Beck, J. Faist, and C. C. Phillips,"Gain without inversion in semiconductor nanostructures," Nat. Mater. 5, 175-178 (2006).
10. M. Phillips and H. Wang,"Spin Coherence and Electromagnetically Induced Transparency via Exciton Correlations," Phys. Rev. Lett. 89, 186401 (2002).
11. P. Palinginis, S. Crankshaw, F. Sedgwick, E.-T. Kim, M. Moewe, C. J. Chang-Hasnain, H. Wang, and S.-L. Chuang, "Ultraslow light (
12. P. C. Ku, C. J. Chang-Hasnain, and S.-L. Chuang,"Slow light in semiconductor heterostructures," J. Phys. D: Appl. Phys. 40, R93-R107 (2007), and references therein.
13. J. Faist, F. Capasso, A. L. Hutchinson, L. Pfeiffer, and K.W.West,"Suppression of optical absorption by electricfield- induced quantum interference in coupled potential wells," Phys. Rev. Lett. 71, 3573 (1993).
14. J. Faist, C. Sirtori, F. Capasso, S.-N. Chu, L. N. Pfeiffer, K. W. West,"Tunable Fano interference in intersubband absorption," Opt. Lett. 21, 985-987 (1996).
15. H. Schmidt, K. L. Campman, A. C. Gossard and A. Imamoglu,"Tunneling induced transparency: Fano interference in intersubband transitions," Appl. Phys. Lett. 70, 3455 (1997).
16. H. Schmidt and A. Imamoglu,"Nonlinear optical devices based on a transparency in semiconductor intersubband transitions" Opt. Commun. 131, 333-338 (1996).
17. H. Sun, S. Gong, Y. Niu, R. Li, S. Jin, and Z. Xu,"Enhancing Kerr nonlinearity in an asymmetric double quantum well via Fano interference," Phys. Rev. B 74, 155314 (2006).
18. J. H. Wu, J. Y. Gao, J. H. Xu, L. Silvestri, M. Artoni, G. C. La Rocca, and F. Bassani, "Ultrafast All Optical Switching via Tunable Fano Interference," Phys. Rev. Lett. 95, 057401 (2005).
19. Y. Xue, X.-M. Su, G.W.Wang, Y. Chen, and J.-Y. Gao, "Photon switch in quantum well by quantum interference in interband transitions," Opt. Commun. 249, 231-237 (2005).
20. X. Hao, J. Li, J. Liu, P. Song, and X. Yang, "Efficient four-wave mixing of a coupled double quantum-well nanostructure," Phys. Lett. A 372, 2509-2513 (2008).
21. C. Zhu and G. Huang, "Slow-light solitons in coupled asymmetric quantum wells via interband transitions," Phys. Rev. B 80, 235408 (2009).
22. W.-X. Yang and R.-K. Lee, "Controllable entanglement and polarization phase gate in coupled double quantumwell structures," Opt. Express 16, 17161 (2008).
23. H. Schmidt and A. Imamoglu, "Giant Kerr nonlinearities obtained by electromagnetically induced transparency," Opt. Lett. 21, 1936 (1996).
24. S. E. Harris and L. V. Hau, "Nonlinear Optics at Low Light Levels," Phys. Rev. Lett. 82, 4611 (1999).
25. Z.-B.Wang, K.-P. Marzlin, and B. Sanders, in Quantum Communications and Quantum Imaging, edited by R. E. Meyers, Y. Shih, and K. S. Deacon, Proc. of SPIE 6305, 6305H1-8 (2006).
26. H. G. Roskos, M. C. Nuss, J. Shah, K. Leo, D. A.B. Miller, "Coherent submillimeter-wave emission from charge oscillations in a double-well potential," Phys. Rev. Lett. 68, 2216 (1992).
27. I. Waldmüller, J. Förstner, S.-C. Lee, and A. Knorr, M. Woerner, K. Reimann, R. A. Kaindl, and 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).
28. We adopt phenomenological few-level model to study the optical response of SQWs. On the relation between such approach and microscopic theory, see N. H. Kwong, I. Rumyantsev, R. Binder, and A. L. Smirl, "Relation between phenomenological few-level models and microscopic theories of the nonlinear optical response of semiconductor quantum wells," Phys. Rev. B 72, 235312 (2005).
29. The frequency and wavevector of the probe (signal) field in the quantum well are given byùp+ù and kp+Kp(ù) (ùs +ù and ks +Ks(ù)), respectively. Thus ù = 0 corresponds to the center frequency of both the probe and signal fields.
30. Y. Xue, X.-M. Su, G. W. Wang, Y. Chen, and J.-Y. Gao, "Photon switch in a quantum well by quantum interference in interband transitions," Opt. Commun. 249, 231-237 (2005).
31. A. Neogi, "Transient interband light modulation via intersubband coupling light in undoped semiconductor quantum wells," Opt. Commun. 133, 479-486 (1997)
32. A. Neogi, H. Yoshida, T. Mozume, O.Wada, "Enhancement of interband optical nonlinearity by manipulation of intersubband transitions in an undoped semiconductor quantum well," Opt. Commun. 159, 225-229 (1999)
33. A. Neogi, O. Wada, Y. Takahashi, and H. Kawaguchi, "Ultrashortpulse- controlled all-optical modulation by interband and intersubband transitions in doped quantum wells," Opt. Lett. 23, 1212-1214 (1998).
34. Because Im(V ps g ) is much less than Re(V ps g ) we disregard Im(V ps g ) and take V ps g Re(V ps g ) here and in the following.
35. V. Coffman, J. Kundu, and W. K. Wootters, "Distributed entanglement," Phys. Rev. A 61, 052306 (2000).
36. K.-P. Marzlin, Z.-B.Wang, S. A. Moiseev, and B. C. Sanders, "Uniform cross-phase modulation for nonclassical radiation pulses," J. Opt. Soc. Am. B 27, A36-A45 (2010).
37. A. Hasegawa and Y. Kodama, Solitons in Optical Communications (Clarendon, Oxford, 1995).