New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation

We analyze the time evolution of mixed state rho(0) in a dissipative channel, characteristic of a decay constant K, by virtue of the elegant properties of entangled state representation <eta vertical bar. We find that the matrix element of the mixed state rho(t) at time t in <eta vertical bar representation is proportional to that of the initial rho(0) in the decayed entangled state <eta e(-kt)vertical bar representation, accompanying with a Gaussian damping factor e(-1-e-2xt/2 vertical bar eta vertical bar 2). Thus we have a new insight about the nature of the dissipative process. Crown Copyright (c) 2008 Published by Elsevier B.V. All rights reserved.