OSA's Digital Library

Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 18 — Sep. 9, 2013
  • pp: 21349–21356

Terahertz wave generation from hyper-Raman lines in two-level quantum systems driven by two-color lasers

Wei Zhang, Shi-Fang Guo, Su-Qing Duan, and Xian-Geng Zhao  »View Author Affiliations

Optics Express, Vol. 21, Issue 18, pp. 21349-21356 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (1019 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Based on spatial-temporal symmetry breaking mechanism, we propose a novel scheme for terahertz (THz) wave generation from hyper-Raman lines associated with the 0th harmonic (a particular even harmonic) in a two-level quantum system driven by two-color laser fields. With the help of analysis of quasi-energy, the frequency of THz wave can be tuned by changing the field amplitude of the driving laser. By optimizing the parameters of the laser fields, we are able to obtain arbitrary frequency radiation in the THz regime with appreciable strength (as strong as the typical harmonics). Our proposal can be realized in experiment in view of the recent experimental progress of even-harmonics generation by two-color laser fields.

© 2013 OSA

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4180) Nonlinear optics : Multiphoton processes
(300.6495) Spectroscopy : Spectroscopy, teraherz

ToC Category:
Nonlinear Optics

Original Manuscript: June 11, 2013
Revised Manuscript: August 23, 2013
Manuscript Accepted: August 24, 2013
Published: September 4, 2013

Wei Zhang, Shi-Fang Guo, Su-Qing Duan, and Xian-Geng Zhao, "Terahertz wave generation from hyper-Raman lines in two-level quantum systems driven by two-color lasers," Opt. Express 21, 21349-21356 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. M. Tonouchi, “Cutting-edge terahertz technology,” Nature Photon.1(2), 97–105 (2007). [CrossRef]
  2. T. Otsuji, M. Hanabe, T. Nishimura, and E. Sano, “A grating-bicoupled plasma- wave photomixer with resonant-cavity enhanced structure,” Opt. Express14(11), 4815–4825 (2006). [CrossRef] [PubMed]
  3. N. Sekine and K. Hirakawa, “Dispersive terahertz gain of a nonclassical oscillator: Bloch oscillation in semiconductor superlattices,” Phys. Rev. Lett.94(5), 057408 (2005). [CrossRef] [PubMed]
  4. N. Orihashi, S. Suzuki, and M. Asada, “One THz harmonic oscillation of resonant tunneling diodes,” Appl. Phys. Lett.87(23), 233501 (2005). [CrossRef]
  5. T. W. Crowe, W. L. Bishop, D. W. Perterfield, J. L. Hesler, and R. M. Weikle, “Opening the Terahertz Window With Integrated Diode Circuits,” IEEE J. Solid-State Circuits40(10), 2104–2110 (2005). [CrossRef]
  6. H. Ito, F. Nakajima, T. Furuta, and T. Ishibashi, “Continuous THz-wave generation using antenna-integrated uni-travelling-carrier photodiodes,” Semicond. Sci. Technol.20(7), S191–S198 (2005). [CrossRef]
  7. K. Kawase, J. Shikata, and H. Ito, “Terahertz wave parametric source,” J. Phys. D34(1), R1–R14 (2001).
  8. X. Xie, J. Dai, and X.C. Zhang, “Coherent Control of THz Wave Generation in Ambient Air,” Phys. Rev. Lett.96(7), 075005 (2006). [CrossRef] [PubMed]
  9. T. J. Wang, J.F. Daigle, S. Yuan, F. Theberge, M. Chateauneuf, J. Dubois, G. Roy, H. Zeng, and S. L. Chin, “Remote generation of high-energy terahertz pulses from two-color femtosecond laser filamentation in air,” Phys. Rev. A83(5), 053801 (2011). [CrossRef]
  10. T. J. Wang, C. Marceau, Y. Chen, S. Yuan, F. Theberge, M. Chateauneuf, J. Dubois, and S. L. Chin, “Terahertz emission from a dc-biased two-color femtosecond laser-induced filament in air,” Appl. Phys. Lett.96(21), 211113 (2010). [CrossRef]
  11. J. Penano, P. Sprangle, B. Hafizi, D. Gordon, and P. Serafim, “Terahertz generation in plasmas using two-color laser pulses,” Phys. Rev. E81(2), 026407 (2010). [CrossRef]
  12. J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, “Quantum Cascade Laser,” Science264(5158), 553–556 (1994). [CrossRef] [PubMed]
  13. R. Kohler, A. Tredicucci, F. Beltram, H. E. Beere, E. H. Linfeld, A. G. Davies, D. A. Ritchie, R. C. Iotti, and F. Rossi, “Terahertz semiconductor heterostructure laser,” Nature417(6885), 156–159 (2002). [CrossRef] [PubMed]
  14. B. S. Williams, “Terahertz quantum-cascade lasers,” Nature Photonics1(9), 517–525 (2007). [CrossRef]
  15. B. S. Williams, S. Kumar, Q. Hu, and J. L. Reno, “Resonant-phonon terahertz quantum-cascade laser operating at 2.1 THz,” Electron. Lett.40(7), 431–432 (2004). [CrossRef]
  16. M. A. Belkin, F. Capasso, A. Belyanin, D. L. Sivco, A. Y. Cho, D. C. Oakley, C. J. Vineis, and G. W. Turner, “Terahertz quantum-cascade-laser source based on intracavity difference- frequency generation,” Nature Photon.1(5), 288–292 (2007). [CrossRef]
  17. G. P. Williams, “Far-IR/THz radiation from the Jefferson Laboratory, energy recovered linac, free electron laser,” Rev. Sci.Instr.73(3), 1461–1463 (2002). [CrossRef]
  18. K. Miyamoto, S. Ohno, M. Fujiwara, H. Minamide, H. Hashimoto, and H. Ito, “Optimized terahertz-wave generation using BNA-DFG,” Opt. Express17(17), 18832–14838 (2009). [CrossRef]
  19. Q. Y. Lu, N. Bandyopadhyay, S. Slivken, Y. Bai, and M. Razeghi, “High performance terahertz quantum cascade laser sources based on intracavity difference frequency generation,” Opt. Express21(1), 968–973 (2013). [CrossRef] [PubMed]
  20. K. J. Ahn, F. Milde, and A. Knorr, “Phonon-Wave-Induced Resonance Fluorescence in Semiconductor Nanostructures: Acoustoluminescence in the Terahertz Range,” Phys. Rev. Lett.98(2), 027401 (2007). [CrossRef] [PubMed]
  21. Y. Chassagneux, R. Colombelli, W. Maineult, S. Barbieri, H. E. Beere, D. A. Ritchie, S. P. Khanna, E. H. Linfield, and A. G. Davies, “Electrically pumped photonic-crystal terahertz lasers controlled by boundary conditions,” Nature (London)457(7226), 174–178 (2009). [CrossRef]
  22. S. Q. Duan, W. Zhang, Y. Xie, W. D. Chu, and X. G. Zhao, “Terahertz radiation in semiconductor quantum dots driven by gigahertz waves: The role of tailoring the quasienergy spectrum,” Phys. Rev. B80(16), 161304(R) (2009). [CrossRef]
  23. T. Millack and A. Maquet, “Hyper-Raman lines produced during high harmonic generation,” J. Mod. Opt.40(11), 2161–2171 (1993). [CrossRef]
  24. S. F. Guo, S. Q. Duan, Y. Xie, W. D. Chu, and W. Zhang, “Tailoring the photon emission patterns in nanostructures,” New J. Phys.13(5), 053005 (2011). [CrossRef]
  25. L. M. Narducci, M. O. Scully, G.-L. Oppo, P. Ru, and J. R. Tredicce, “Spontaneous emission and absorption properties of a driven three-level system,” Phys. Rev. A42(3), 1630–1649 (1990). [CrossRef] [PubMed]
  26. R. A. Ganeev, H. Singhal, P. A. Naik, J. A. Chakera, H. S. Vora, R. A. Khan, and P. D. Gupta, “Systematic studies of two-color pump-induced high-order harmonic generation in plasma plumes,” Phys. Rev. A82(5), 053831 (2010). [CrossRef]
  27. R. A. Ganeev, H. Singhal, P. A. Naik, I. A. Kulagin, P. V. Redkin, J. A. Chakera, M. Tayyab, R. A. Khan, and P. D. Gupta, “Enhancement of high-order harmonic generation using a two-color pump in plasma plumes,” Phys. Rev. A80(3), 033845 (2009). [CrossRef]
  28. O. V. Kibis, G. Ya. Slepyan, S. A. Maksimenko, and A. Hoffmann, “Matter Coupling to Strong Electromagnetic Fields in Two-Level Quantum Systems with Broken Inversion Symmetry,” Phys. Rev. Lett.102(2), 023601 (2009). [CrossRef] [PubMed]
  29. I. J. Kim, C. M. Kim, H. T. Kim, G. H. Lee, Y. S. Lee, J. Y. Park, D. J. Cho, and C. H. Nam, “Highly efficient high-harmonic generation in an orthogonally polarized two-color laser field,” Phys. Rev. Lett.94(24), 243901 (2005). [CrossRef]
  30. I. J. Kim, G. H. Lee, S. B. Park, Y. S. Lee, T. K. Kim, C. H. Namb, T. Mocek, and K. Jakubczak, “Generation of submicrojoule high harmonics using a long gas jet in a two-color laser field,” Appl. Phys. Lett.92(2), 021125 (2008). [CrossRef]
  31. N. Ishii, A. Kosuge, T. Hayashi, T. Kanai, J. Itatani, S. Adachi, and S. Watanabe, “Quantum path selection in high-harmonic generation by a phase-locked two-color field,” Opt. express16(25), 20876–20883 (2008). [CrossRef] [PubMed]
  32. N. Moiseyev and M. Lein, “Non-Hermitian Quantum mechanics for high-order harmonic generation spectra,” J. Phys. Chem. A107(37), 7181–7188 (2003). [CrossRef]
  33. K. B. Nordstrom, K. Johnsen, S. J. Allen, A.-P. Jauho, B. Birnir, J. Kono, T. Noda, H. Akiyama, and H. Sakaki, “Excitonic dynamical Franz-Keldysh Effect,” Phys. Rev. Lett.81(2), 457–460 (1998). [CrossRef]
  34. L. Plaja and L. Roso, “High-order harmonic generation in a two-level atom: effect of the multiphoton resonances tuned by the light shift,” J. Mod. Opt.40(5), 793–807 (1993). [CrossRef]
  35. A. D. Piazza and E. Fiordilino, “Why hyper-Raman lines are absent in high-order harmonic generation,” Phys. Rev. A64(1), 013802 (2001). [CrossRef]
  36. Z. Y. Zhou and J. M. Yuan, “Fine structures of the harmonic and hyper-Raman spectrum of the hydrogen atom in an intense high-frequency laser pulse,” Phys. Rev. A77(6), 063411 (2008). [CrossRef]
  37. Y. Dakhnovskii and H. Metiu, “Conditions leading to intense low-frequency generation and strong localization in two-level systems,” Phys. Rev. A48(3), 2342–2345 (1993). [CrossRef] [PubMed]
  38. C. Liu, S. Gong, R. Li, and Z. Xu, “Coherent control in the generation of harmonics and hyper-Raman lines from a strongly driven two-level atom,” Phys. Rev. A69(2), 023406 (2004). [CrossRef]
  39. F. I. Gauthey, C. H. Keitel, P. L. Knight, and A. Maquet, “Role of initial coherence in the generation of harmonics and sidebands from a strongly driven two-level atom,” Phys. Rev. A52(1), 525–540 (1995). [CrossRef] [PubMed]
  40. M. Frasca, “Theory of dressed states in quantum optics,” Phys. Rev. A60(1), 573–581 (1999). [CrossRef]
  41. A. D. Piazza, E. Fiordilino, and M. H. Mittleman, “Analytical study of the spectrum emitted by a two-level atom driven by a strong laser pulse,” Phys. Rev. A64(1), 013414 (2001). [CrossRef]
  42. M. L. Pons, R. Taieb, and A. Maquet, “Importance of population transfers in high-order harmonic-generation spectra,” Phys. Rev. A54(4), 3634–3641 (1996). [CrossRef] [PubMed]
  43. H. Wang and X.G. Zhao, “Emission properties of electrons in two-level systems driven by DC - AC fields,” J. Phys.: Condens.Matter8(18), L285–L289 (1996). [CrossRef]
  44. P. Huang, X.-T. Xie, X. Lu, J. Li, and X. Yang, “Carrier-envelope-phase-dependent effects of high-order harmonic generation in a strongly driven two-level atom,” Phys. Rev. A79(4), 043806 (2009). [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.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited