Quantum Brownian Motion of Solitons in the Sine-Gordon Model

抄録

The effect of quantum random force on the damped motion of a soliton in the one dimensional sine-Gordon model is investigated by the numerical simulation using quantum Langevin equation. It is found that the mean square displacement of the center of the soliton depends on time t as At^α (0<α<1) where A and α depend on the strength of dissipation. The qualitative feature of the result is also applicable to other more realistic soliton bearing systems such as spin chains or polymers.