Skip to main content
SpringerLink
Log in

Kraus Operator-Sum Solution to the Master Equation Describing the Single-Mode Cavity Driven by an Oscillating External Field in the Heat Reservoir

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

Abstract

Exploiting the thermo entangled state approach, we successfully solve the master equation for describing the single-mode cavity driven by an oscillating external field in the heat reservoir and then get the analytical time-evolution rule for the density operator in the infinitive Kraus operator-sum representation. It is worth noting that the Kraus operator M l, m is proved to be a trace-preserving quantum operation. As an application, the time-evolution for an initial coherent state ρ |β〉 = |β〉〈β| in such an environment is investigated, which shows that the initial coherent state decays to a new mixed state as a result of thermal noise, however the coherence can still be reserved for amplitude damping.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Haake, F.: Z. Physik. 223, 353 (1969)

    Article  ADS  Google Scholar 

  2. Haake, F.: Springer Tracts in Modern Physics 66, 98 (1973)

    Article  Google Scholar 

  3. Risken, H.: The Fokker-Planck Equation: Methods of Solutions and Applications. Springer, Berlin (1984)

    Book  MATH  Google Scholar 

  4. Fan, H.Y., Hu, L.Y.: Mod. Phys. Lett. B 22, 2435 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  5. Restrepo, J., Ciuti, C., Favero, I.: Phys. Rev. Lett. 112, 013601 (2014)

    Article  ADS  Google Scholar 

  6. Kraus, K.: State, Effects, and Operations: Fundamental Notions of Quantum Theory. Springer, Berlin (1983)

    Book  Google Scholar 

  7. Peixoto de Faria, J.G.: Eur. Phys. J. D 42, 153 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  8. Gong, Z.R., Ian, H., Liu, Y.X., Sun, C.P., Nori, F.: Phys. Rev. A 80, 065801 (2009)

    Article  ADS  Google Scholar 

  9. Hu, L.Y., Fan, H.Y.: Chin. Phys. B 18, 4657 (2009)

    Article  ADS  Google Scholar 

  10. Fan, H.Y., Klauder, J.: Phys. Rev. A 49, 704 (1994)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Physical Science and Information Engineering, Liaocheng University, Liaocheng, 252059, China

    Xiang-Guo Meng & Ji-Suo Wang

  2. Shandong Provincial Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng, 252059, China

    Xiang-Guo Meng & Ji-Suo Wang

  3. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu, 273165, China

    Ji-Suo Wang

  4. School of Information and Electronic Engineering, Shandong Technology and Business University, Yantai, 264005, China

    Hua-Chao Gao

Authors
  1. Xiang-Guo Meng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ji-Suo Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hua-Chao Gao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xiang-Guo Meng.

Additional information

Project supported by the National Natural Science Foundation of China (Grant No.11347026), the Natural Science Foundation of Shandong Province, China (Grant Nos.ZR2013AM012 and ZR2012AM004), Research Fund for the Doctoral Program and Scientific Research Project of Liaocheng University.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Meng, XG., Wang, JS. & Gao, HC. Kraus Operator-Sum Solution to the Master Equation Describing the Single-Mode Cavity Driven by an Oscillating External Field in the Heat Reservoir. Int J Theor Phys 55, 3630–3636 (2016). https://doi.org/10.1007/s10773-016-2992-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-2992-0

Keywords

Search

Navigation