Communications in Theoretical Physics

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Solving Master Equation for Two-Mode Density Matrices by Virtue of Thermal Entangled State Representation

FAN Hong-Yi1 and LI Chao2   


  1. 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
  • Received: 2003-04-03 Revised: 1900-01-01 Published: 2004-01-15

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.

Key words: thermal entangled state, master equation

PACS numbers: 

  • 03.65.Ca