Skip to main content
Log in

Dissipation of Two-Mode Squeezed State in Two Independent Amplitude Dissipative Channels

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We examine the dissipative result of a pure two-mode squeezed state passing through two independent amplitude dissipative channels described by the direct product of two independent single-mode master equations. Although these two master equations do not mix the two modes (no coupling between them), but since the two-mode squeezed state is simultaneously an entangled state, the output state emerging from the two channels is a two-mode density operator (mixed state). The exact and compact expression of the outcoming state is obtained, which manifently shows that as time evolves the squeezing effect and photon number decreases.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Takahashi, Y., Umezawa, H.: Collect. Phenom. 2, 55 (1975)

    MathSciNet  Google Scholar 

  2. Umezawa, H.: Memorial issue and references therein. Int. J. Mod. Phys. B10 (1996)

  3. Meng, X.-G., Goan, H.-S., et al.: Nonclassical thermal-state superpositions: Analytical evolution law and decoherence behavior[J]. Opt. Commun. 411(7), 15–20 (2018)

    Article  ADS  Google Scholar 

  4. Meng, X.-G., Wang, Z., et al.: Wigner function, optical tomography of two-variable Hermite polynomial state, and its decoherence effects studied by the entangled-state representations[J]. J. Opt. Soc. Am. B 30(6), 1614–1622 (2013)

    Article  ADS  Google Scholar 

  5. Meng, X.-G., Wang, Z., et al.: Squeezed number state and squeezed thermal state: Decoherence analysis and nonclassical properties in the laser process[J]. J. Opt. Soc. Am. B 29(7), 1844–1853 (2012)

    Article  ADS  Google Scholar 

  6. Meng, X.-G., Wang, Z., et al.: Nonclassicality and decoherence of photon-subtracted squeezed vacuum states [J]. J. Opt. Soc. Am. B 29(11), 3141–3149 (2012)

    Article  ADS  Google Scholar 

  7. Gardiner, C.W., Zoller, P.: Quantum Noise (2ed). Springer, New York (2000)

    Book  MATH  Google Scholar 

  8. Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press (1998)

  9. Bergou, J., Orszag, M., Scully, M.O., et al.: Squeezing and quantum-noise quenching in phase-sensitive optical systems[J]. Phys. Rev. Gen. Phys. 39(10), 5136 (1989)

    Article  ADS  Google Scholar 

  10. Fan, H., Chen, J., Song, T.Q.: New parametrized entangled state representations and their applications[J]. Int. J. Theor. Phys. 42(8), 1773–1779 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  11. Fan, H.-y., Yu, G.-c.: Radon transformation of the Wigner operator for two-mode correlated system in generalized entangled state representation[J]. Modern Phys. Lett. 15(07), 499–507 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  12. Fan, H.Y., Lu, H.L.: New two-mode coherent-entangled state and its application[J]. J. Phys. Gen. Phys. 37(37), 10993 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  13. Song, J., Fan, H.Y.: Wigner function of a special type of squeezed coherent state[J]. Int. J. Theor. Phys. 51(1), 229–236 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  14. Hongyi, F., Zhihua, X.: Symplectic transformations in the n-mode coherent-state representation using integration within an ordered product of operators[J]. Phys. Rev. A 50(4), 2921 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  15. Fan, H.Y., Wang, Z.: New integration transformation connecting coherent state and entangled state[J]. Int. J. Theor. Phys. 53(3), 964–970 (2014)

    Article  MATH  Google Scholar 

Download references

Acknowledgements

This work is supported by the education scientific research project of young teachers of Fujian Province(Grant No.JK2014053)and the National Natural Science Foundation of China (Grant No.11775208)and the special research of Wuyi University Young Teachers(Grant No.XQ201303).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhan De-hui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

De-hui, Z., Hong-yi, F. Dissipation of Two-Mode Squeezed State in Two Independent Amplitude Dissipative Channels. Int J Theor Phys 57, 2687–2694 (2018). https://doi.org/10.1007/s10773-018-3790-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-018-3790-7

Keywords

Navigation