Chaotic state as an output of vacuum state evolving in diffusion channel and generation of displaced chaotic state for quantum controlling*

Abstract

We show that chaotic state can be produced as an output of vacuum state evolving in diffusion channel, while displaced chaotic state is output of a coherent state evolving in diffusion channel. We also introduce the thermo vaccum state for the displaced chaotic state and evaluate the average photon number. The displaced chaotic state may be used exhibiting quantum controlling.