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Dipole Squeezing and Spin Squeezed States

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Quantum-Limit Spectroscopy

Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 200))

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Abstract

In the preceding chapters, we have demonstrated how squeezed light applied to optical systems may lead to the prediction of subnatural linewidths in the radiation spectra and the possibility to improve the precision of measurements beyond the standard quantum limit . The reason for this was that squeezed light is an example of a nonclassical state of the electromagnetic field with quantum fluctuations in one of the two field quadrature components reduced below the limit set by the vacuum or shot-noise fluctuations. The concept of squeezed states of light was introduced in the context of the field observables, the quadrature components of the electromagnetic field, which can be measured and which are represented by Hermitian operators given in terms of the boson creation and annihilation operators. As we have seen, two-photon correlations in the field modes or between modes are required in order to reduce quantum fluctuations in one of the quadrature components below the vacuum level.

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Notes

  1. 1.

    The dependence of the right-hand side of (10.3) on the state involved means that an equality in (10.3) can be achieved for two distinct states. The equality can be achieved with or without of both sides reaching a local or absolute minimum value. States for which an equality is achieved with both sides reaching a local or absolute minimum are called the minimum uncertainty states. States for which only an equality is achieved are called the intelligent states [1–3].

References

  1. C. Aragone, G. Guerri, S. Salamo, J.L. Tani: J. Phys. A 15, L149 (1974)

    Google Scholar 

  2. K. Wódkiewicz, J.H. Eberly: J. Opt. Soc. Am. B 2, 458 (1985)

    Google Scholar 

  3. M.A. Dupertuis, A.N. Kireev: Quantum Opt. 2, 119 (1990)

    Google Scholar 

  4. C.H.H. Schulte, J. Hansom, A.E. Jones, C. Matthiesen, C. Le Gall, M. Atatüre: Nature 525, 222 (2015)

    Google Scholar 

  5. S.M. Barnett: Optics Commun. 61, 432 (1987)

    Google Scholar 

  6. K. Wódkiewicz, P.L. Knight, S.J. Buckle, S.M. Barnett: Phys. Rev. A 35, 2567 (1987)

    Google Scholar 

  7. S.M. Barnett, P.L. Knight: Phys. Scr. 21, 5 (1988)

    Google Scholar 

  8. B.J. Dalton, Z. Ficek, P.L. Knight: Phys. Rev. A 50, 2646 (1994)

    Google Scholar 

  9. Z. Ficek, R. Tanaś, S. Kielich: Phys. Rev. A 29, 2004 (1984)

    Google Scholar 

  10. Z. Ficek, R. Tanaś, S. Kielich: Acta Phys. Pol. A67, 583 (1985)

    Google Scholar 

  11. Q.Y. He, S.G. Peng, P.D. Drummond, M.D. Reid: Phys. Rev. A 84, 022107 (2011)

    Google Scholar 

  12. Q.Y. He, T.G. Vaughan, P.D. Drummond, M.D. Reid: New J. Phys. 14, 093012 (2012)

    Google Scholar 

  13. J. Ma, X.-G. Wang, C.P. Sun, F. Nori: Physics Rep. 509, 89 (2011)

    Google Scholar 

  14. B. Dalton, J. Goold, B. Garraway, M. Reid: arXiv:1506.06892 (2015)

  15. M. Kitagawa, M. Ueda: Phys. Rev. A 47, 5138 (1993)

    Google Scholar 

  16. T. Holstein, H. Primakoff: Phys. Rev. 58, 1098 (1940)

    Google Scholar 

  17. A. Peres: Phys. Rev. Lett. 77, 1413 (1996)

    Google Scholar 

  18. P. Horodecki: Phys. Lett. A 232, 333 (1997)

    Google Scholar 

  19. A. Messikh, Z. Ficek, M.R.B. Wahiddin: Phys. Rev. A 68, 064301 (2003)

    Google Scholar 

  20. D.J. Wineland, J.J. Bollinger, W.M. Itano, D.J. Heinzen: Phys. Rev. A 46, R6797 (1992); 50, 67 (1994)

    Google Scholar 

  21. K. Hammerer, A.S. Sorensen, E.S. Polzik: Rev. Mod. Phys. 82 1041 (2010)

    Google Scholar 

  22. C.F. Ockeloen, R. Schmied, M.F. Riedel, P. Treutlein: Phys. Rev. Lett. 111, 143001 (2013)

    Google Scholar 

  23. C. Gross, T. Zibold, E. Nicklas, J. Estéve, M.K. Oberthaler: Nature 464, 1165 (2010)

    Google Scholar 

  24. M.F. Riedel, P. Boehi, Y. Li, T.W. Haensch, A. Sinatra, P. Treutlein: Nature 464, 1170 (2010)

    Google Scholar 

  25. W. Muessel, H. Strobel, D. Linnemann, D. B. Hume, M. K. Oberthaler: Phys. Rev. Lett. 113, 103004 (2014)

    Google Scholar 

  26. D. Leibfried, M. Barrett, T. Schaetz, J. Britton, J. Chiaverini, W. Itano, J. Jost, C. Langer, D. Wineland: Science 304,1476 (2004)

    Google Scholar 

  27. L. Pezze, L.A. Collins, A. Smerzi, G.P. Berman, A.R. Bishop: Phys Rev A 72, 043612 (2005)

    Google Scholar 

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Authors and Affiliations

  1. King Abdulaziz City for Science and Technology (KACST), National Centre for Applied Physics, Riyadh, Saudi Arabia

    Zbigniew Ficek

  2. Nonlinear Optics Division, Faculty of Physics, Adam Mickiewicz University, Poznan, Poland

    Ryszard Tanaś

Authors
  1. Zbigniew Ficek
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  2. Ryszard Tanaś
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Correspondence to Zbigniew Ficek .

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Ficek, Z., Tanaś, R. (2017). Dipole Squeezing and Spin Squeezed States. In: Quantum-Limit Spectroscopy. Springer Series in Optical Sciences, vol 200. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3740-0_10

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  • DOI: https://doi.org/10.1007/978-1-4939-3740-0_10

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  • Print ISBN: 978-1-4939-3738-7

  • Online ISBN: 978-1-4939-3740-0

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