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The Phase Sensitivity of the Coincidence Detection in one Output Port of a Mach-Zehnder Interferometer

  • Shin Harim (Department of physics, University of Ulsan) ;
  • Kim Henoh (Department of physics, University of Ulsan) ;
  • Park Goodong (Department of physics, University of Ulsan) ;
  • Kim Taesoo (Department of physics, University of Ulsan)
  • 투고 : 2005.04.15
  • 발행 : 2005.12.01

초록

The phase sensitivity of the coincidence detection in one output port of a Mach-Zehnder interferometer is analysed for twin Fock state inputs. Firstly, the ideal detectors with quantum efficiency of unity are assumed for the detection of the output photons. The sensitivity is found out to be independent of the photon number of input light, which means that the Heisenberg limit cannot be reached in the coincidence detection even with ideal detectors. Secondly, the practical detectors with quantum efficiencies less than unity are discussed.

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참고문헌

  1. C. M. Caves, 'Quantum-mechanical noise in a interferometer,' Phys. Rev., vol. D23 1693-1708 (1981) https://doi.org/10.1103/PhysRevD.23.1693
  2. M. J.Holland and K. Burnett. 'Interferometic detection of optical Phase shifts at the Heisenberg limit,' Phys. Rev. Lett., vol. 71, 1355-1358 (1993) https://doi.org/10.1103/PhysRevLett.71.1355
  3. B. C. Sanders and G.J. Milburn, 'Optical Qunatum Measurement for Phase Estimation,' Phys. Rev. Lett. 75, 2944-2947 (1995) https://doi.org/10.1103/PhysRevLett.75.2944
  4. C. Brif and A. Mann, 'Nonclassical interferometery with intelligent light,' Phys. Rev. A 54, 4505-4518 (1996) https://doi.org/10.1103/PhysRevA.54.4505
  5. M. G. A. Pairs, 'Quantum interference effects in spontaneous atomic emission: Dependence of the resonance fluorescence spectrum on the phase of the driving field.' Phys. Lett, vol. A 55, 4483-4491 (1997) https://doi.org/10.1103/PhysRevA.55.4483
  6. T. Kim, O. Pfister, M. J. Holland, J. Noh,and J. L. Hall, 'Influence of decorrelation on Heisenberg-limited interferometry with quantum correlated photons,' Phys. Rev., vol. A 57, 4004-4013 (1998) https://doi.org/10.1103/PhysRevA.57.4004
  7. J. P.Dowling, 'Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope,' Phys. Rev., vol. A 57, 4736-4746 (1998) https://doi.org/10.1103/PhysRevA.57.4736
  8. T. Kim, J. Shin, y. Ha, H. Kim, G. Park, T. G. Noh, and C. K. Hong, 'The phase-sensitivity of a Mach-Zehnder interferometer for Fock state inputs,' Opt. Comm., vol. 156, 37-42 (1998) https://doi.org/10.1016/S0030-4018(98)00428-3
  9. T. Kim, J. Shin, y. Ha, H. Kim, G.Park, K. Kim, T. Noh and C. K. Hong, 'Effect of the detector efficiency on the phase sensitivity in a Mach-Zehnder interferometer,' Phys. Rev., vol. A 60, 708 (1999) https://doi.org/10.1103/PhysRevA.60.708
  10. R. A. Campos, C. C. Gerry, and A. Benmoussa, 'Optical interferometry at the Heisenberg limit with twin Fock states and parity measurements,' Phys. Rev., vol. A 68, 023810-023814 (2003) https://doi.org/10.1103/PhysRevA.68.023810
  11. R. Pooser, and O. Pfister, 'Particle-number scaling of the phase sensitivity in realistic Bayesian twin-mode Heisenberg-limited interferometry,' Phys. Rev., vol. A 69, 043616-043621 (2004) https://doi.org/10.1103/PhysRevA.69.043616
  12. A. Luis, 'Optimum quantum states for interferometers with fixed and moving mirrors,' Phys. Rev., vol. A69, 045801-045804 (2004) https://doi.org/10.1103/PhysRevA.69.045801
  13. J. A. Dunningham, K. Burnett, and S. M. Barnett, 'Interferometry below the Standard Quantum Limit with BoseEinstein Condensates,' Phys. Rev. Lett., vol. 89, 150401 (2002) https://doi.org/10.1103/PhysRevLett.89.150401
  14. P. Bouyer and M. A. Kasevich, 'Heisenberglimited spectroscopy with degenerate Bose-Einstein gases,' Phys. Rev. A 56, R1083-R1086 (1997) https://doi.org/10.1103/PhysRevA.56.R1083
  15. J. J. Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, 'Optimal frequency measurements with maximally correlated states,' Phys. Rev., vol. A 54, R4649-R4652 (1996) https://doi.org/10.1103/PhysRevA.54.R4649
  16. A.N. Boto, P. Kok, D.S. Abrams, S. L. Braunstein, C. P. Williams, and J. P. Dowling, 'Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit,' Phys. Rev. Lett., vol. 85, 2733-2736 (2000) https://doi.org/10.1103/PhysRevLett.85.2733
  17. G. Giorgi, P. Mataloni, and F. De Martini, 'Frequency Hopping in Quantum Interferometry: Efficient Up-Down Conversion for Qubits and Ebits,' Phys. Rev. Lett., vol. 90, 027902-027904 (2003) https://doi.org/10.1103/PhysRevLett.90.027902
  18. K. Edamatsu, R.Shimizu, and T. Itoh, 'Measurement of the Photonic de Broglie Wavelength of Entangled Photon Pairs Generated by Spontaneous Parametric Down-Conversion,' Phys. Rev. Lett., vol. 89, 213601-213604 (2002) https://doi.org/10.1103/PhysRevLett.89.213601
  19. B. Yurke, S. L. McCall, and J. R. Klauder, 'SU(2) and SU(1,1) interferometers,' Phys. Rev., vol. A 33, 4033-4054 (1986) https://doi.org/10.1103/PhysRevA.33.4033
  20. H. P. Yuen and J. H. Shapiro, IEEE Trans. Int. Theory 26, 78 (1980) https://doi.org/10.1109/TIT.1980.1056132
  21. B. Yurke, 'Wideband photon counting and homodyne detection,' Phys. Rev., vol. A 32, 311-323 (1985) https://doi.org/10.1103/PhysRevA.32.311

피인용 문헌

  1. Error Analysis for Optical Security by means of 4-Step Phase-Shifting Digital Holography vol.10, pp.3, 2006, https://doi.org/10.3807/JOSK.2006.10.3.118