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Correspondence Between the Operational Element of an Amplitude Damping Harmonic Oscillator to the Kraus Operator of the Master Equation for Dissipation

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Abstract

We find the correspondence between the operational element of an amplitude damping harmonic oscillator and the Kraus operator solution to the master equation for dissipation. This reveals the equivalence between the two approaches to tackling the dissipation of oscillator-reservoir: one is solving the Kraus operator of the master equation, and the other is deriving the operational element of time evolution operator in the reservoir mode.

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Authors and Affiliations

  1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China

    Chen Feng, Chen Jun-hua & Hong-yi Fan

  2. Department of Mathematics and physics, Hefei University, Hefei, Anhui, 230022, China

    Chen Feng

Authors
  1. Chen Feng
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  2. Chen Jun-hua
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  3. Hong-yi Fan
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Correspondence to Chen Feng.

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Work supported by the National Natural Science Foundation of China under grant 11175113.

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Feng, C., Jun-hua, C. & Fan, Hy. Correspondence Between the Operational Element of an Amplitude Damping Harmonic Oscillator to the Kraus Operator of the Master Equation for Dissipation. Int J Theor Phys 52, 2407–2412 (2013). https://doi.org/10.1007/s10773-013-1526-2

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  • DOI: https://doi.org/10.1007/s10773-013-1526-2

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