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Dynamic Evolution of Squeezing Maintenance

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Abstract

By virtue of the coherent state representation and solving Riccati equation we derive dynamic evolution operator for maintaining squeezing, i.e., we demonstrate that the final state keeps squeezing when the initial state is a squeezed vacuum state. The number-phase squeezing maintenance mechanism is also studied.

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References

  1. Fan, H.Y., Fan, Y.: Representations of two-mode suqeezing transformations. Phys. Rev. A 54, 958–960 (1996)

    Article  Google Scholar 

  2. Fan, H.Y., Klauder, J.R.: Eigenvectors of two particles’ relative positon and total momentum. Phys. Rev. A 49(2), 704 (1994)

    Article  ADS  MATH  Google Scholar 

  3. Fan, H.Y., Zhan, D.H., Yu, W.J., Zhou, J.: New Hermite-polynomial-operator identities and their application in quantum suqeezing. Acta. Phys. Sin. 61(11), 110302 (2012)

    Google Scholar 

  4. Fan, H.Y., Lu, H.L., Fan, Y.: Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representions. Ann. Phys. 321 (2), 480–494 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Hu, L. Y., Fan, H. Y.: Infinite operator-sum representation of density operator for a dissipative cavity with Kerr medium derived by virtue of entangled state representation. Int. J. Theor. Phys. 48(12), 3396–3402 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Fan, H.Y., Lv, C.H., Xia, Y.J.: Preserving coherent of coherent state sudied via Weyl-Wigner correspondence. Commun. Theor. Phys. 54(2), 244–246 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Glauber, R.J.: The quantum theory of optical coherence. Phys. Rev. 130, 2529 (1963)

    Article  ADS  MathSciNet  Google Scholar 

  8. Glauber, R.J.: Coherent and incoherent states of the radiation field. Phys. Rev. 131, 2766 (1963)

    Article  ADS  MathSciNet  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China(Grant No.11574295).

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Authors and Affiliations

  1. School of Mathematical and Chemical Industry, Changzhou Institute of Technology, Changzhou, 213002, China

    Zhi-Long Wan

  2. Department of Material Science and Engineering, University of Science and Technology of China, Heifei, 230026, China

    Zhi-Long Wan & Hong-Yi Fan

Authors
  1. Zhi-Long Wan
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  2. Hong-Yi Fan
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Correspondence to Zhi-Long Wan.

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Wan, ZL., Fan, HY. Dynamic Evolution of Squeezing Maintenance. Int J Theor Phys 55, 3682–3688 (2016). https://doi.org/10.1007/s10773-016-2997-8

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  • DOI: https://doi.org/10.1007/s10773-016-2997-8

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