Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss

Journal of Lightwave Technology

Volumn 24, Issue 12, 2006, Pages 5054-5066

  Yurke, Bernard ^a   Buks, Eyal ^b  

^a LUCENT TECHNOLOGIES   (United States)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Kinetic inductance; Noise squeezing; Nonlinear; Parametric amplifier

Indexed keywords

ELECTRIC RESISTANCE; INDUCTANCE; INTERMODULATION; MIXER CIRCUITS; OPTICAL KERR EFFECT; PHOTONS; QUANTUM THEORY;

KERR NONLINEARITY; KINETIC INDUCTANCE; NOISE SQUEEZING;

PARAMETRIC AMPLIFIERS;

EID: 33845521272     PISSN: 07338724     EISSN: None     Source Type: Journal    
DOI: 10.1109/JLT.2006.884490     Document Type: Article

References (35)

1. J. R. Tucker, "Quantum limited detection in tunnel junction mixers," IEEE J. Quantum Electron., vol. QE-15, no. 11, pp. 1234-1258, Nov. 1979.
2. J. R. Tucker and M. J. Feldman, "Quantum detection at millimeter wavelengths," Rev. Mod. Phys., vol. 57, no. 4, pp. 1055-1113, 1985.
3. L. S. Kuzmin, K. K. Likharev, V. V. Migulin, and A. B. Zorin, "Quantum noise in Josephson-junction parametric amplifiers," IEEE Trans. Magn., vol. MAG-19, no. 3, pp. 618-621, May 1983.
4. B. Yurke, L. R. Corruccini, P. G. Kaminsky, L. W. Rupp, A. D. Smith, A. H. Silver, R. W. Simon, and E. A. Whittaker, "Observation of parametric amplification and deamplification in a Josephson parametric amplifier," Phys. Rev. A, Gen. Phys., vol. 39, no. 5, pp. 2519-2533, Mar. 1989.
5. R. Movshovich, B. Yurke, P. G. Kaminsky, A. D. Smith, A. H. Silver, R. W. Simon, and M. V. Schneider, "Observation of zero-point noise squeezing via a Josephson-parametric amplifier," Phys. Rev. Lett., vol. 65, no. 12, pp. 1419-1422, Sep. 1990.
6. T. Dahm and D. J. Scalapino, "Theory of intermodulation in a superconducting microstrip resonator," J. Appl. Phys., vol. 81, no. 4, pp. 2002-2009, Feb. 1997.
7. B. Abdo, E. Segev, O. Shtempluck, and E. Buks, "Observation of bifurcations and hysteresis in nonlinear NbN superconducting microwave resonators," IEEE Trans. Appl. Superconduc., no. 99, Jan. 10, 2005. Digital Object Identifier: 10.1109/TASC.2006.881823.
8. B. Abdo, E. Segev, O. Shtempluck, and E. Buks, "Nonlinear dynamics in the resonance lineshape of NbN superconducting resonators," Phys. Rev. B, Condens. Matter, vol. 73, no. 13, p. 134 513, Jan. 8, 2006.
9. B. Abdo, E. Segev, O. Shtempluck, and E. Buks, "Intermodulation gain in nonlinear NbN superconducting microwave resonators," Appl. Phys. Lett., vol. 88, no. 2, pp. 022508 1-022508 3, 2006.
10. B. Abdo, E. Segev, O. Shtempluck, and E. Buks, Nonlinear Coupling in Nb/ NbN Superconducting Microwave Resonators, Jan. 11, 2005. arXiv:cOnd-mat/ 0501236.
11. A. Villeneuve, C. C. Yang, G. I. Stegeman, C.-H. Lin, and H.-H. Lin, "Nonlinear refractive-index and two photon-absorption near half the band gap in AlGaAs," Appl. Phys. Lett., vol. 62, no. 20, pp. 2465-2467, May 1993.
12. A. M. Fox, J. J. Baumberg, M. Dabbicco, B. Huttner, and J. F. Ryan, "Squeezed light generation in semiconductors," Phys. Rev. Lett., vol. 74, no. 10, pp. 1728-1731, Mar. 1995.
13. (3) nonlinearity at below halfband gap," J. Opt. Soc. Amer. B, Opt. Phys., vol. 12, no. 9, pp. 1537-1549, Sep. 1995.
14. S. Zaitsev, R. Almog, O. Shtempluck, and E. Buks, Nonlinear Damping in Nanomechanical Beam Oscillator, Mar. 6, 2005. arXiv:cOndmat/053130v1.
15. R. Almog, S. Zaitsev, O. Shtempluck, and E. Buks, "High intermodulation gain in a micromechanical duffing resonator," Appl. Phys. Lett., vol. 88, no. 21, p. 213 509, 2006.
16. R. Almog, S. Zaitsev, O. Shtempluck, and E. Buks, Noise Squeezing in a Nanomechanical Duffing Resonator, Jul. 6, 2006. arXiv:cOnd-mat/0607055.
17. E. Buks and B. Yurke, "Mass detection with nonlinear nanomechanical resonator," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 74, no. 4, p. 046619, Jul. 5, 2006.
18. C. C. Gerrry and E. E. Hach, III, "Enhanced squeezing from a Kerr medium combined with two-photon absorption," Opt. Commun., vol. 100, no. 1-4, pp. 211-214, Jul. 1993.
19. L. Gilles, B. M. Garraway, and P. L. Knight, "Generation of nonclassical light by dissipative two-photon processes," Phys. Rev. A, Gen. Phys., vol. 49, no. 4, pp. 2785-2799, Apr. 1994.
20. G. X. Li, J. S. Peng, and P. Zhou, "Squeezing of field in the system of a Kerr medium embedded in a nondegenerate two-photon absorption cavity," Chin. Phys. Lett., vol. 12, no. 2, pp. 79-82, 1995.
21. C. W. Gardiner and M. J. Collett, "Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation," Phys. Rev. A, Gen. Phys., vol. 31, no. 6, pp. 3761-3774, Jun. 1985.
22. J. Gea-Banacloche, N. Lu, L. M. Pedrotti, S. Prasad, M. O. Scully, and K. Wodkiewich, "Treatment of the spectrum of squeezing based on the modes of the Universe. I. Theory and a physical picture," Phys. Rev. A, Gen. Phys., vol. 41, no. 1, pp. 369-380, Jan. 1990.
23. N. Imoto, H. A. Haus, and Y. Yamamoto, "Quantum nondemolition measurement of the photon number via the optical Kerr effect," Phys. Rev. A, Gen. Phys., vol. 32, no. 4, pp. 2287-2292, Oct. 1985.
24. A. G. White, P. K. Lam, D. E. McClelland, H.-A. Bachor, and J. Munro, "Kerr noise reduction and squeezing," J. Opt., B Quantum Semiclass. Opt., vol. 2, no. 4, pp. 553-561, 2000.
25. B. Yurke and J. S. Denker, "Quantum network theory," Phys. Rev. A, Gen. Phys., vol. 29, no. 3, pp. 1419-1437, Mar. 1984.
26. N. Tornau and A. Bach, "Quantum statistics of two-photon absorption," Opt. Commun., vol. 11, no. 1, pp. 46-49, May 1974.
27. G. S. Agarwal and G. P. Hildred, "Time development of squeezing in two photon absorption," Opt. Commun., vol. 58, no. 4, pp. 287-289, Jun. 1986.
28. L. Gilles and P. L. Knight, "Two-photon absorption and nonclassical states of light," Phys. Rev. A, Gen. Phys., vol. 48, no. 2, pp. 1582-1593, Aug. 1993.
29. H. Ezaki, "Photon number squeezing due to two-photon absorption in internal and external fields of a microcavity," J. Phys. Soc. Jpn., vol. 68, no. 5, pp. 1562-1566, May 1999.
30. M. Kitamura and T. Tokihiro, "Squeezed states of light in a cavity with a local two-photon absorber," J. Opt., B Quantum Semiclass. Opt., vol. 1, no. 5, pp. 546-556, Oct. 1999.
31. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations. Hoboken, NJ: Wiley, 1979.
32. L. D. Landau, Mechanics, 3rd ed. New York: Pergamon, 1976.
33. B. Yurke, D. S. Greywall, A. N. Pargellis, and P. A. Busch, "Theory of amplifier-noise evasion in an oscillator employing a nonlinear resonator," Phys. Rev. A, Gen. Phys., vol. 51, no. 5, pp. 4211-4229, May 1995.
34. B. Yurke, "Squeezed-coherent-state generation via four-wave mixers and detection via homodyne detectors," Phys. Rev. A, Gen. Phys., vol. 32, no. 1, pp. 300-310, Jul. 1985.
35. E. Buks and B. Yurke, "Dephasing due to intermode coupling in superconducting stripline resonators," Phys. Rev. A, Gen. Phys., vol. 73, no. 2, p. 023 815, 2006.