Explicit solution of diffusion master equation under the action of linear resonance force via the thermal entangled state representation

Using the well-behaved features of the thermal entangled state representation, we solve the diffusion master equation under the action of a linear resonance force, and then obtain the infinitive operator-sum representation of the density operator. This approach may also be effective for treating oth...

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Bibliographic Details
Published in:Chinese physics B 2015-07, Vol.24 (7), p.70304-1-070304-4
Main Authors: Yao, Fei, Wang, Ji-Suo, Xu, Tian-Niu
Format: Article
Language:English
Subjects:
Coherence
Density
Diffusion
Entangled states
Mathematical analysis
Operators
Representations
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Summary:Using the well-behaved features of the thermal entangled state representation, we solve the diffusion master equation under the action of a linear resonance force, and then obtain the infinitive operator-sum representation of the density operator. This approach may also be effective for treating other master equations. Moreover, we find that the initial pure coherent state evolves into a mixed thermal state after passing through the diffusion process under the action of the linear resonance force.
ISSN:1674-1056
1741-4199
DOI:10.1088/1674-1056/24/7/070304