Abstract

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

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    [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]
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    [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]

2013 (1)

2011 (2)

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]

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]

2010 (3)

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]

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]

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]

2009 (6)

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]

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]

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]

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]

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]

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]

2008 (3)

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]

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]

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]

2007 (4)

M. Tonouchi, “Cutting-edge terahertz technology,” Nature Photon.1(2), 97–105 (2007).
[CrossRef]

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]

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]

B. S. Williams, “Terahertz quantum-cascade lasers,” Nature Photonics1(9), 517–525 (2007).
[CrossRef]

2006 (2)

2005 (5)

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]

N. Orihashi, S. Suzuki, and M. Asada, “One THz harmonic oscillation of resonant tunneling diodes,” Appl. Phys. Lett.87(23), 233501 (2005).
[CrossRef]

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]

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]

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]

2004 (2)

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]

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]

2003 (1)

N. Moiseyev and M. Lein, “Non-Hermitian Quantum mechanics for high-order harmonic generation spectra,” J. Phys. Chem. A107(37), 7181–7188 (2003).
[CrossRef]

2002 (2)

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]

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]

2001 (3)

K. Kawase, J. Shikata, and H. Ito, “Terahertz wave parametric source,” J. Phys. D34(1), R1–R14 (2001).

A. D. Piazza and E. Fiordilino, “Why hyper-Raman lines are absent in high-order harmonic generation,” Phys. Rev. A64(1), 013802 (2001).
[CrossRef]

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]

1999 (1)

M. Frasca, “Theory of dressed states in quantum optics,” Phys. Rev. A60(1), 573–581 (1999).
[CrossRef]

1998 (1)

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]

1996 (2)

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]

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]

1995 (1)

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]

1994 (1)

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]

1993 (3)

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]

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]

T. Millack and A. Maquet, “Hyper-Raman lines produced during high harmonic generation,” J. Mod. Opt.40(11), 2161–2171 (1993).
[CrossRef]

1990 (1)

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]

Adachi, S.

Ahn, K. J.

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]

Akiyama, H.

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]

Allen, S. J.

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]

Asada, M.

N. Orihashi, S. Suzuki, and M. Asada, “One THz harmonic oscillation of resonant tunneling diodes,” Appl. Phys. Lett.87(23), 233501 (2005).
[CrossRef]

Bai, Y.

Bandyopadhyay, N.

Barbieri, S.

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]

Beere, H. E.

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]

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]

Belkin, M. A.

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]

Beltram, F.

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]

Belyanin, A.

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]

Birnir, B.

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]

Bishop, W. L.

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]

Capasso, F.

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]

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]

Chakera, J. A.

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]

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]

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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).
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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).
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J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, “Quantum Cascade Laser,” Science264(5158), 553–556 (1994).
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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).
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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).
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Hesler, J. L.

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J. Faist, F. Capasso, D. L. Sivco, C. Sirtori, A. L. Hutchinson, and A. Y. Cho, “Quantum Cascade Laser,” Science264(5158), 553–556 (1994).
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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).
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Itatani, J.

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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).
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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).
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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).
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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]

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).
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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).
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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).
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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).
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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).
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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]

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]

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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).
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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).
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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).
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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]

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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]

Kosuge, A.

Kulagin, I. A.

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]

Kumar, S.

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]

Lee, G. H.

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]

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]

Lee, Y. S.

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]

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).
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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]

Li, R.

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]

Linfeld, E. H.

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]

Linfield, E. H.

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).
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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).
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Lu, X.

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).
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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]

Maksimenko, S. A.

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).
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[CrossRef] [PubMed]

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]

T. Millack and A. Maquet, “Hyper-Raman lines produced during high harmonic generation,” J. Mod. Opt.40(11), 2161–2171 (1993).
[CrossRef]

Marceau, C.

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]

Metiu, H.

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]

Milde, F.

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]

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T. Millack and A. Maquet, “Hyper-Raman lines produced during high harmonic generation,” J. Mod. Opt.40(11), 2161–2171 (1993).
[CrossRef]

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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]

Mittleman, M. H.

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).
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N. Moiseyev and M. Lein, “Non-Hermitian Quantum mechanics for high-order harmonic generation spectra,” J. Phys. Chem. A107(37), 7181–7188 (2003).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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A. D. Piazza and E. Fiordilino, “Why hyper-Raman lines are absent in high-order harmonic generation,” Phys. Rev. A64(1), 013802 (2001).
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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).
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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).
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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).
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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).
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Scully, M. O.

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).
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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).
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K. Kawase, J. Shikata, and H. Ito, “Terahertz wave parametric source,” J. Phys. D34(1), R1–R14 (2001).

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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).
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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).
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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).
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N. Orihashi, S. Suzuki, and M. Asada, “One THz harmonic oscillation of resonant tunneling diodes,” Appl. Phys. Lett.87(23), 233501 (2005).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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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).
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B. S. Williams, “Terahertz quantum-cascade lasers,” Nature Photonics1(9), 517–525 (2007).
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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).
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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).
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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).
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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).
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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).
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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]

Zeng, H.

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).
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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).
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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]

Zhang, X.C.

X. Xie, J. Dai, and X.C. Zhang, “Coherent Control of THz Wave Generation in Ambient Air,” Phys. Rev. Lett.96(7), 075005 (2006).
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Zhao, X. G.

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).
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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).
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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).
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Appl. Phys. Lett. (3)

N. Orihashi, S. Suzuki, and M. Asada, “One THz harmonic oscillation of resonant tunneling diodes,” Appl. Phys. Lett.87(23), 233501 (2005).
[CrossRef]

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]

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).
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Electron. Lett. (1)

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).
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IEEE J. Solid-State Circuits (1)

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).
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J. Mod. Opt. (2)

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J. Phys. Chem. A (1)

N. Moiseyev and M. Lein, “Non-Hermitian Quantum mechanics for high-order harmonic generation spectra,” J. Phys. Chem. A107(37), 7181–7188 (2003).
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J. Phys. D (1)

K. Kawase, J. Shikata, and H. Ito, “Terahertz wave parametric source,” J. Phys. D34(1), R1–R14 (2001).

J. Phys.: Condens.Matter (1)

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]

Nature (1)

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]

Nature (London) (1)

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]

Nature Photon. (2)

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]

M. Tonouchi, “Cutting-edge terahertz technology,” Nature Photon.1(2), 97–105 (2007).
[CrossRef]

Nature Photonics (1)

B. S. Williams, “Terahertz quantum-cascade lasers,” Nature Photonics1(9), 517–525 (2007).
[CrossRef]

New J. Phys. (1)

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]

Opt. express (1)

Phys. Rev. A (13)

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]

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Figures (4)

Fig. 1
Fig. 1

(a) The schematic diagram of our two-level system driven by an incident laser. The emission spectrum contains the higher-order harmonics and the accompanied hyper-Raman lines; (b)–(f) Emission spectra in the presence of various driving fields F(t). (b) F(t) = F1 cos(ω0t); (c) F(t) = F2 cos(2ω0t); (d) F(t) = F1 cos(ω0t) + F2 cos(2ω0t); (e) F(t) = F1 cos(ω0t) + F2 cos(3ω0t); (f) F(t) = F1 cos(ω0t) + F2 cos(4ω0t). F1 = 4.4 × 109V/m, F2 = 2.2 × 109V/m.

Fig. 2
Fig. 2

(a) The intensity of hyper-Raman line associated with 1th harmonic for F(t) = F1 cos(ω0t), F1 is related to ν, the frequency of the hyper-Raman line; (b) The intensities of hyper-Raman lines associated with 0th (peak 1) and 1th (peak 2) harmonics for F(t) = F1 cos(ω0t) + F2 cos(2ω0t), F1 = 4.4 × 109V/m, F2 is related to ν.

Fig. 3
Fig. 3

The quasienergy difference (solid line) between two quasi-eigenstates and the frequency (dots) of the 0th hyper-Raman line versus the magnitude of external field F1. F2 = 2.2 × 109V/m.

Fig. 4
Fig. 4

(a) The parameters of F1 and F2 for the 0th hyper-Raman line with frequency 2THz= 0.02ω0. The triangle indicates the optimal parameter for the maximal intensity of 0th hyper-Raman line. (b) The corresponding emission spectrum for the case with optimized external field.

Equations (3)

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H = i 2 E i | i i | + G ( t ) ( | 1 2 | + | 2 1 | ) ,
ρ t = i h ¯ [ H , ρ ] Γ ρ ,
ψ | P ^ | ψ = m , n e i ( n m ) ω 0 t [ | a 1 | 2 ϕ 1 m | P ^ | ϕ ^ 1 n + | a 2 | 2 ϕ 2 m | P ^ | ϕ 2 n ] + m , n e i [ ( ε 2 ε 1 ) + ( n m ) ω 0 ] t a 2 a 1 * ϕ 1 m | P ^ | ϕ 2 n + m , n e i [ ( ε 1 ε 2 ) + ( n m ) ω 0 ] t a 1 a 2 * ϕ 2 m | P ^ | ϕ 1 n .

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