B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Nonlinear dynamics in the resonance lineshape of NbN superconducting resonators," Phys. Rev. B, Condens. Matter 73, 134 513 (2006) arXiv:cond-mat/0601146.

B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Intermodulation gain in nonlinear NbN superconducting microwave resonators," Appl. Phys. Lett. 88, 022508 1-022508 3 (2006).

R. Almog, S. Zaitsev, O. Shtempluck, E. Buks, "High intermodulation gain in a micromechanical duffing resonator," Appl. Phys. Lett. 88, 213 509 (2006).

E. Buks, B. Yurke, "Mass detection with nonlinear nanomechanical resonator," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 74, 046 619 (2006).

E. Buks, B. Yurke, "Dephasing due to intermode coupling in superconducting stripline resonators," Phys. Rev. A, Gen. Phys. 73, 023 815 (2006).

B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Observation of bifurcations and hysteresis in nonlinear NbN superconducting microwave resonators," IEEE Trans. Appl. Superconduc. (2005) Digital Object Identifier: 10.1109/TASC.2006.881823.

A. G. White, P. K. Lam, D. E. McClelland, H.-A. Bachor, J. Munro, "Kerr noise reduction and squeezing," J. Opt., B Quantum Semiclass. Opt. 2, 553-561 (2000).

H. Ezaki, "Photon number squeezing due to two-photon absorption in internal and external fields of a microcavity," J. Phys. Soc. Jpn. 68, 1562-1566 (1999).

M. Kitamura, T. Tokihiro, "Squeezed states of light in a cavity with a local two-photon absorber," J. Opt., B Quantum Semiclass. Opt. 1, 546-556 (1999).

T. Dahm, D. J. Scalapino, "Theory of intermodulation in a superconducting microstrip resonator," J. Appl. Phys. 81, 2002-2009 (1997).

G. X. Li, J. S. Peng, P. Zhou, "Squeezing of field in the system of a Kerr medium embedded in a nondegenerate two-photon absorption cavity," Chin. Phys. Lett. 12, 79-82 (1995).

A. M. Fox, J. J. Baumberg, M. Dabbicco, B. Huttner, J. F. Ryan, "Squeezed light generation in semiconductors," Phys. Rev. Lett. 74, 1728-1731 (1995).

S.-T. Ho, X. Zhang, M. K. Udo, "Single-beam squeezed-state generation in semiconductor waveguides with $\chi^{(3)}$ nonlinearity at below half-band gap," J. Opt. Soc. Amer. B, Opt. Phys. 12, 1537-1549 (1995).

B. Yurke, D. S. Greywall, A. N. Pargellis, P. A. Busch, "Theory of amplifier-noise evasion in an oscillator employing a nonlinear resonator," Phys. Rev. A, Gen. Phys. 51, 4211-4229 (1995).

L. Gilles, B. M. Garraway, P. L. Knight, "Generation of nonclassical light by dissipative two-photon processes," Phys. Rev. A, Gen. Phys. 49, 2785-2799 (1994).

C. C. Gerrry, E. E. Hach, III"Enhanced squeezing from a Kerr medium combined with two-photon absorption," Opt. Commun. 100, 211-214 (1993).

A. Villeneuve, C. C. Yang, G. I. Stegeman, C.-H. Lin, H.-H. Lin, "Nonlinear refractive-index and two photon-absorption near half the band gap in AlGaAs," Appl. Phys. Lett. 62, 2465-2467 (1993).

L. Gilles, P. L. Knight, "Two-photon absorption and nonclassical states of light," Phys. Rev. A, Gen. Phys. 48, 1582-1593 (1993).

J. Gea-Banacloche, N. Lu, L. M. Pedrotti, S. Prasad, M. O. Scully, 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. 41, 369-380 (1990).

R. Movshovich, B. Yurke, P. G. Kaminsky, A. D. Smith, A. H. Silver, R. W. Simon, M. V. Schneider, "Observation of zero-point noise squeezing via a Josephson-parametric amplifier," Phys. Rev. Lett. 65, 1419-1422 (1990).

B. Yurke, L. R. Corruccini, P. G. Kaminsky, L. W. Rupp, A. D. Smith, A. H. Silver, R. W. Simon, E. A. Whittaker, "Observation of parametric amplification and deamplification in a Josephson parametric amplifier," Phys. Rev. A, Gen. Phys. 39, 2519-2533 (1989).

G. S. Agarwal, G. P. Hildred, "Time development of squeezing in two photon absorption," Opt. Commun. 58, 287-289 (1986).

N. Imoto, H. A. Haus, Y. Yamamoto, "Quantum nondemolition measurement of the photon number via the optical Kerr effect," Phys. Rev. A, Gen. Phys. 32, 2287-2292 (1985).

B. Yurke, "Squeezed-coherent-state generation via four-wave mixers and detection via homodyne detectors," Phys. Rev. A, Gen. Phys. 32, 300-310 (1985).

J. R. Tucker, M. J. Feldman, "Quantum detection at millimeter wavelengths," Rev. Mod. Phys. 57, 1055-1113 (1985).

C. W. Gardiner, M. J. Collett, "Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation," Phys. Rev. A, Gen. Phys. 31, 3761-3774 (1985).

B. Yurke, J. S. Denker, "Quantum network theory," Phys. Rev. A, Gen. Phys. 29, 1419-1437 (1984).

L. S. Kuzmin, K. K. Likharev, V. V. Migulin, A. B. Zorin, "Quantum noise in Josephson-junction parametric amplifiers," IEEE Trans. Magn. MAG-19, 618-621 (1983).

J. R. Tucker, "Quantum limited detection in tunnel junction mixers," IEEE J. Quantum Electron. QE-15, 1234-1258 (1979).

N. Tornau, A. Bach, "Quantum statistics of two-photon absorption," Opt. Commun. 11, 46-49 (1974).

B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Intermodulation gain in nonlinear NbN superconducting microwave resonators," Appl. Phys. Lett. 88, 022508 1-022508 3 (2006).

A. Villeneuve, C. C. Yang, G. I. Stegeman, C.-H. Lin, H.-H. Lin, "Nonlinear refractive-index and two photon-absorption near half the band gap in AlGaAs," Appl. Phys. Lett. 62, 2465-2467 (1993).

R. Almog, S. Zaitsev, O. Shtempluck, E. Buks, "High intermodulation gain in a micromechanical duffing resonator," Appl. Phys. Lett. 88, 213 509 (2006).

G. X. Li, J. S. Peng, P. Zhou, "Squeezing of field in the system of a Kerr medium embedded in a nondegenerate two-photon absorption cavity," Chin. Phys. Lett. 12, 79-82 (1995).

J. R. Tucker, "Quantum limited detection in tunnel junction mixers," IEEE J. Quantum Electron. QE-15, 1234-1258 (1979).

B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Observation of bifurcations and hysteresis in nonlinear NbN superconducting microwave resonators," IEEE Trans. Appl. Superconduc. (2005) Digital Object Identifier: 10.1109/TASC.2006.881823.

L. S. Kuzmin, K. K. Likharev, V. V. Migulin, A. B. Zorin, "Quantum noise in Josephson-junction parametric amplifiers," IEEE Trans. Magn. MAG-19, 618-621 (1983).

T. Dahm, D. J. Scalapino, "Theory of intermodulation in a superconducting microstrip resonator," J. Appl. Phys. 81, 2002-2009 (1997).

S.-T. Ho, X. Zhang, M. K. Udo, "Single-beam squeezed-state generation in semiconductor waveguides with $\chi^{(3)}$ nonlinearity at below half-band gap," J. Opt. Soc. Amer. B, Opt. Phys. 12, 1537-1549 (1995).

A. G. White, P. K. Lam, D. E. McClelland, H.-A. Bachor, J. Munro, "Kerr noise reduction and squeezing," J. Opt., B Quantum Semiclass. Opt. 2, 553-561 (2000).

M. Kitamura, T. Tokihiro, "Squeezed states of light in a cavity with a local two-photon absorber," J. Opt., B Quantum Semiclass. Opt. 1, 546-556 (1999).

H. Ezaki, "Photon number squeezing due to two-photon absorption in internal and external fields of a microcavity," J. Phys. Soc. Jpn. 68, 1562-1566 (1999).

N. Tornau, A. Bach, "Quantum statistics of two-photon absorption," Opt. Commun. 11, 46-49 (1974).

G. S. Agarwal, G. P. Hildred, "Time development of squeezing in two photon absorption," Opt. Commun. 58, 287-289 (1986).

C. C. Gerrry, E. E. Hach, III"Enhanced squeezing from a Kerr medium combined with two-photon absorption," Opt. Commun. 100, 211-214 (1993).

L. Gilles, B. M. Garraway, P. L. Knight, "Generation of nonclassical light by dissipative two-photon processes," Phys. Rev. A, Gen. Phys. 49, 2785-2799 (1994).

B. Yurke, J. S. Denker, "Quantum network theory," Phys. Rev. A, Gen. Phys. 29, 1419-1437 (1984).

C. W. Gardiner, M. J. Collett, "Input and output in damped quantum systems: Quantum stochastic differential equations and the master equation," Phys. Rev. A, Gen. Phys. 31, 3761-3774 (1985).

J. Gea-Banacloche, N. Lu, L. M. Pedrotti, S. Prasad, M. O. Scully, 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. 41, 369-380 (1990).

N. Imoto, H. A. Haus, Y. Yamamoto, "Quantum nondemolition measurement of the photon number via the optical Kerr effect," Phys. Rev. A, Gen. Phys. 32, 2287-2292 (1985).

L. Gilles, P. L. Knight, "Two-photon absorption and nonclassical states of light," Phys. Rev. A, Gen. Phys. 48, 1582-1593 (1993).

B. Yurke, D. S. Greywall, A. N. Pargellis, P. A. Busch, "Theory of amplifier-noise evasion in an oscillator employing a nonlinear resonator," Phys. Rev. A, Gen. Phys. 51, 4211-4229 (1995).

B. Yurke, "Squeezed-coherent-state generation via four-wave mixers and detection via homodyne detectors," Phys. Rev. A, Gen. Phys. 32, 300-310 (1985).

E. Buks, B. Yurke, "Dephasing due to intermode coupling in superconducting stripline resonators," Phys. Rev. A, Gen. Phys. 73, 023 815 (2006).

B. Yurke, L. R. Corruccini, P. G. Kaminsky, L. W. Rupp, A. D. Smith, A. H. Silver, R. W. Simon, E. A. Whittaker, "Observation of parametric amplification and deamplification in a Josephson parametric amplifier," Phys. Rev. A, Gen. Phys. 39, 2519-2533 (1989).

B. Abdo, E. Segev, O. Shtempluck, E. Buks, "Nonlinear dynamics in the resonance lineshape of NbN superconducting resonators," Phys. Rev. B, Condens. Matter 73, 134 513 (2006) arXiv:cond-mat/0601146.

E. Buks, B. Yurke, "Mass detection with nonlinear nanomechanical resonator," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top. 74, 046 619 (2006).

A. M. Fox, J. J. Baumberg, M. Dabbicco, B. Huttner, J. F. Ryan, "Squeezed light generation in semiconductors," Phys. Rev. Lett. 74, 1728-1731 (1995).

R. Movshovich, B. Yurke, P. G. Kaminsky, A. D. Smith, A. H. Silver, R. W. Simon, M. V. Schneider, "Observation of zero-point noise squeezing via a Josephson-parametric amplifier," Phys. Rev. Lett. 65, 1419-1422 (1990).

J. R. Tucker, M. J. Feldman, "Quantum detection at millimeter wavelengths," Rev. Mod. Phys. 57, 1055-1113 (1985).

B. Abdo, E. Segev, O. Shtempluck, E. Buks, Nonlinear Coupling in Nb/NbN Superconducting Microwave Resonators (2005) arXiv:cond-mat/0501236.

S. Zaitsev, R. Almog, O. Shtempluck, E. Buks, Nonlinear Damping in Nanomechanical Beam Oscillator (2005) arXiv:cond-mat/053130v1.

R. Almog, S. Zaitsev, O. Shtempluck, E. Buks, Noise Squeezing in a Nanomechanical Duffing Resonator (2006) arXiv:cond-mat/0607055.

A. H. Nayfeh, D. T. Mook, Nonlinear Oscillations (Wiley, 1979).

L. D. Landau, Mechanics (Pergamon, 1976).