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Solving Master Equation for Two-Mode Density Matrices by Virtue of Thermal Entangled State Representation
Authors:FAN Hong-Yi and LI  Chao
Institution:1. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China ;2. Department of Special Class for the Gifted Young, University of Science and Technology of China, Hefei 230026, China
Abstract:We extend the approach of solving master equations for density matrices by projecting it onto the thermal entangled state representation (Hong-Yi Fan and Jun-Hua Chen, J. Phys. A35 (2002) 6873) to two-mode case. In this approach the two-photon master equations can be directly and conveniently converted into c-number partial differential equations. As an example, we solve the typical master equation for two-photon process in some limiting cases.
Keywords:thermal entangled state  master equation                                                                                                                                                                  
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