International Journal of Theoretical Physics

, Volume 55, Issue 3, pp 1930–1935 | Cite as

Solution of the Master Equation in the Amplitude Damping Model Under the Action of Linear Resonance Force

  • Lu Dao-ming


The amplitude damping model master equations of density operators under the action of linear resonance force can be concisely solved by virtue of thermo entangled state representation and the technique of integration within an ordered product of operators. We obtain the infinitive operator-sum representation of density operators. This approach may also be effective to treat other master equations. Further, the evolution of the coherent state in this model is discussed. The results show that the coherent state maintains its original coherence character in the amplitude damping model under the action of linear resonance force.


Quantum optics Linear resonance force Amplitude damping model Solution of master equation 



This work is supported by the Natural Science Foundation of Fujian Provice of China Under Grant No.2015J01020.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.College of Mechanic and Electronic EngineeringWuyi UniversityWuyishanPeople’s Republic of China

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