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Master equation for a quantum system driven by a strong periodic field in the quasienergy representation

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  • Antoniou, I.
  • Melnikov, Yu.
  • Qiao, Bi

Abstract

The evolution of a quantum system weakly coupled with a thermal reservoir and influenced by an external periodic field is formulated in the quasienergy representation where the strong external periodic field disappears and the original model is transformed to a time-dependent system weakly coupled with thermal reservoir. Based on this time-dependent subdynamics, we derive a master equation of the reduced density operator for the driven quantum system. This equation is valid in the weak-coupling limit. Our method can be useful for obtaining the master equation of any system coupled with a thermal reservoir and driven by strong external periodic fields.

Suggested Citation

  • Antoniou, I. & Melnikov, Yu. & Qiao, Bi, 1997. "Master equation for a quantum system driven by a strong periodic field in the quasienergy representation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 246(1), pages 97-114.
    • Handle: RePEc:eee:phsmap:v:246:y:1997:i:1:p:97-114
    DOI: 10.1016/S0378-4371(97)00343-9
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    References listed on IDEAS

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    1. Hovey, Allan, 1955. "Britain and the Unification of Europe," International Organization, Cambridge University Press, vol. 9(3), pages 323-337, August.
    2. Jing-Yee, Lee & Tasaki, S., 1992. "Poincaré's theorem and subdynamics for driven systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(1), pages 59-99.
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    Cited by:

    1. Qiao, Bi & Xing, X.S. & Ruda, H.E., 2005. "Kinetic equations for quantum information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 319-332.
    2. Qiao, Bi & Ruda, Harry E. & Xianghua, Zeng & Hu, Bambi, 2003. "Extended space for quantum cryptography using mixed states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 357-370.

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