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Infinite-Dimensional Kraus Operators for Describing a Thermal Channel with Self-Kerr Interaction

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Abstract

According to operator-sum representation theory, we have identified infinite-dimensional Kraus operators for describing a thermal channel with self-Kerr interaction after directly solving the corresponding master equation by virtue of thermo entangled state. Then we also prove in detail that Kraus operators hold the normalization. As an example, we exactly calculate the evolving result of a chaotic field in the thermal environment with the Kerr medium and find that the chaotic field evolves into a new chaotic field unaffected by the coupling factor with the Kerr medium.

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References

  1. Gardiner, C., Zoller, P.: Quantum Noise. Springer, Berlin (2000)

    Book  MATH  Google Scholar 

  2. Walls, D.F., Milburn, G.J.: Quantum Optics. Springer, Berlin (1994)

    Book  MATH  Google Scholar 

  3. Preskill, J.: Quantum Information and Computation. Lecture Notes for Physics, vol. 229. Springer, Berlin (1998)

    Google Scholar 

  4. Fan, H.Y., Hu, L.Y.: Opt. Commun. 281, 5571 (2008)

    Article  ADS  Google Scholar 

  5. Hu, L.Y., Fan, H.Y.: Chin. Phys. Lett. 26, 060307 (2009)

    Article  ADS  Google Scholar 

  6. Fan, H.Y., Ren, G.: Chin. Phys. Lett. 27, 050302 (2010)

    Article  ADS  Google Scholar 

  7. Jiang, N.Q., Fan, H.Y., Hu, L.Y.: J. Phys. A, Math. Theor. 44, 195302 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  8. Chaturvedi, S., Srinivasan, V.: Phys. Rev. A 43, 4054 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  9. Chaturvedi, S., Srinivasan, V., Agarwal, G.S.: J. Phys. A, Math. Theor. 32, 1909 (1999)

    ADS  MATH  MathSciNet  Google Scholar 

  10. Stobińska, M., Milburn, G.J., Wódkiewicz, K.: Phys. Rev. A 78, 013810 (2008)

    Article  ADS  Google Scholar 

  11. Hu, L.Y., Duan, Z.L., Xu, X.X., Wang, Z.S.: J. Phys. A, Math. Theor. 44, 1909 (2008)

    Google Scholar 

  12. Wang, C.C., Fan, H.Y.: Int. J. Theor. Phys. 51, 193 (2012)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  13. Fan, H.Y., Hu, L.Y.: Commun. Theor. Phys. 51, 506 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  14. Li, H.M., Yuan, H.C.: Int. J. Theor. Phys. 49, 2121 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  15. Fan, H.Y., Hu, L.Y.: Opt. Lett. 33, 443 (2008)

    Article  ADS  Google Scholar 

  16. Yuan, H.C., Fan, H.Y., Hu, L.Y.: Chin. Phys. B 20, 114204 (2010)

    Article  ADS  Google Scholar 

  17. Schleich, W.P.: Quantum Optics in Phase Space. Wiley-VCH, Berlin (2001)

    Book  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Science, Changzhou Institute of Technology, Changzhou, 213002, China

    Heng-Mei Li & Zhen Wang

  2. School of Mathematics and Physics, Changzhou University, Changzhou, 213164, China

    Shuai Wang

  3. Department of Basic Course, Wuxi Institute of Technology, Wuxi, 214121, China

    Xue-Fen Xu

Authors
  1. Heng-Mei Li
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  2. Shuai Wang
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  3. Zhen Wang
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  4. Xue-Fen Xu
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Corresponding author

Correspondence to Heng-Mei Li.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 11174114), the National Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 12KJD140001, as well as the Special Fund for Theoretical Physics from the National Natural Science Foundation of China (Grant No. 11247301).

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Li, HM., Wang, S., Wang, Z. et al. Infinite-Dimensional Kraus Operators for Describing a Thermal Channel with Self-Kerr Interaction. Int J Theor Phys 53, 830–836 (2014). https://doi.org/10.1007/s10773-013-1871-1

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  • DOI: https://doi.org/10.1007/s10773-013-1871-1

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