Table of Contents
Advances in Optics
Volume 2014, Article ID 141076, 6 pages
http://dx.doi.org/10.1155/2014/141076
Research Article

Analyzing Density Operator in Thermal State for Complicated Time-Dependent Optical Systems

1Department of Radiologic Technology, Daegu Health College, Yeongsong-ro 15, Buk-gu, Daegu 702-722, Republic of Korea
2Division of Mathematical Modeling, National Institute for Mathematical Sciences, KT Daeduk 2 Research Center, 463-1 Jeonmin-dong, Yuseong-gu, Daejeon 305-390, Republic of Korea

Received 18 April 2014; Accepted 9 July 2014; Published 24 July 2014

Academic Editor: Kim Fook Lee

Copyright © 2014 Jeong Ryeol Choi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. J. R. Choi and S. Lyagushyn, “Nonclassical properties of superpositions of coherent and squeezed states for electromagnetic fields in time-varying media,” in Quantum Optics and Laser Experiments, S. Lyagushyn, Ed., chapter 2, pp. 25–48, InTech, Rijeka, Croatia, 2012. View at Google Scholar
  2. J. R. Choi and A. Jamiolkowski, “Information theory and entropies for quantized optical waves in complex time-varying media,” in Open Systems, Entanglement and Quantum Optics, chapter 6, pp. 121–138, InTech, Rijeka, Croatia, 2013. View at Google Scholar
  3. J. R. Choi, “Dissipative blackbody radiation: radiation in a lossy cavity,” International Journal of Modern Physics B, vol. 18, no. 3, pp. 317–324, 2004. View at Publisher · View at Google Scholar · View at Scopus
  4. N. Ünal, “Quasi-coherent states for a photon in time varying dielectric media,” Annals of Physics, vol. 327, no. 9, pp. 2177–2183, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. M. R. Bazrafkan and V. I. Man'ko, “Tomography of photon-added and photon-subtracted states,” Journal of Optics B: Quantum and Semiclassical Optics, vol. 5, no. 4, pp. 357–363, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. A. B. Nassar, “New quantum squeezed states for the time-dependent harmonic oscillator,” Journal of Optics B: Quantum and Semiclassical Optics, vol. 4, no. 3, pp. S226–S228, 2002. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. S. K. Singh and S. Mandal, “The solutions of the generalized classical and quantum harmonic oscillators with time dependent mass, frequency, two-photon parameter and external force: the squeezing effects,” Optics Communications, vol. 283, no. 23, pp. 4685–4695, 2010. View at Publisher · View at Google Scholar
  8. A. G. Nerukh, T. M. Benson, and P. Sewell, “Influence on electromagnetic field of both time-varying medium in waveguide and its boundaries,” in Proceedings of 6th International Conference on Transparent Optical Networks, pp. 156–160, July 2004.
  9. F. V. Fedotov, A. G. Nerukh, T. M. Benson, and P. Sewell, “Investigation of electromagnetic field in a layer with time-varying medium by Volterra integral equation method,” Journal of Lightwave Technology, vol. 21, no. 1, pp. 305–314, 2003. View at Publisher · View at Google Scholar · View at Scopus
  10. B.-K. Chen, Y. Zhang, and B.-Q. Gao, “Solution of electromagnetic wave in time-varying media in two-dimensional space,” Chinese Physics Letters, vol. 23, no. 3, pp. 595–598, 2006. View at Publisher · View at Google Scholar · View at Scopus
  11. N. V. Budko, “Electromagnetic radiation in a time-varying background medium,” Physical Review A, vol. 80, no. 5, Article ID 053817, pp. 1–8, 2009. View at Publisher · View at Google Scholar · View at Scopus
  12. H. R. Lewis Jr. and W. B. Riesenfeld, “An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field,” Journal of Mathematical Physics, vol. 10, no. 8, pp. 1458–1473, 1969. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. J. H. Gweon and J. R. Choi, “Propagator and geometric phase of a general time-dependent harmonic oscillator,” Journal of the Korean Physical Society, vol. 42, no. 3, pp. 325–330, 2003. View at Google Scholar · View at Scopus
  14. J. R. Choi, B. J. Choi, and H. D. Kim, “Displacing, squeezing, and time evolution of quantum states for nanoelectronic circuits,” Nanoscale Research Letters, vol. 8, article 30, pp. 1–13, 2013. View at Publisher · View at Google Scholar
  15. J. R. Choi, M.-S. Kim, D. Kim, S. Menouar, and I. H. Nahm, “Information theories for time-dependent harmonic oscillator,” Annals of Physics, vol. 326, no. 6, pp. 1381–1393, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. J. R. Choi, “Wigner distribution function for the time-dependent quadratic-Hamiltonian quantum system using the Lewis-Riesenfeld invariant operator,” International Journal of Theoretical Physics, vol. 44, no. 3, pp. 327–348, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  17. J.-Y. Ji and J. K. Kim, “Temperature changes and squeezing properties of the system of time-dependent harmonic oscillators,” Physical Review A, vol. 53, no. 2, pp. 703–708, 1996. View at Publisher · View at Google Scholar
  18. K. H. Cho, J. Y. Ji, S. P. Kim, C. H. Lee, and J. Y. Ryu, “Heisenberg-picture approach to the evolution of the scalar fields in an expanding universe,” Physical Review D, vol. 56, no. 8, pp. 4916–4921, 1997. View at Publisher · View at Google Scholar · View at Scopus
  19. J. R. Choi, “Quantum and thermal state for exponentially damped harmonic oscillator with and without inverse quadratic potential,” International Journal of Modern Physics B, vol. 16, no. 9, pp. 1341–1351, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  20. J. R. Choi and J. Y. Oh, “Thermal state for the capacitance coupled mesoscopic circuit with a power source,” International Journal of Theoretical Physics, vol. 46, no. 7, pp. 1836–1852, 2007. View at Publisher · View at Google Scholar · View at Scopus
  21. C. J. Eliezer and A. Gray, “A note on the time-dependent harmonic oscillator,” SIAM Journal on Applied Mathematics, vol. 30, no. 3, pp. 463–468, 1976. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. H. J. Korsch, “On Milne's quantum number function,” Physics Letters A, vol. 109, no. 7, pp. 313–316, 1985. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. A. Angelow, “Frequency switching of quantum harmonic oscillator with time-dependent frequency,” http://arxiv.org/pdf/quant-ph/9803004.