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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Authors: | Chen Feng Chen Jun-hua Hong-yi Fan |
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Institution: | 1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei, Anhui, 230026, P.R. China 2. Department of Mathematics and physics, Hefei University, Hefei, Anhui, 230022, China
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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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