中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2701-2706.doi: 10.1088/1674-1056/17/7/057
陈芝得, 侯志兰
Chen Zhi-De(陈芝得)† and Hou Zhi-Lan(侯志兰)
摘要: We present mathematical analyses of the evolution of solutions of
the self-consistent equation derived from variational calculations
based on the displaced-oscillator-state and the
displaced-squeezed-state in spin-boson model at a zero temperature
and a finite temperature. It is shown that, for a given spectral
function defined as $J(\omega)=\pi\sum_k c_k^2=\ddfrac{\pi}{2}\alpha
\omega^{ s}\omega_{\rm c}^{ 1-s}$, there exists a universal $s_{\rm
c}$ for both kinds of variational schemes, the localized transition
happens only for $s\le s_{\rm c}$, moreover, the localized
transition is discontinuous for $s
中图分类号:
(Boson systems)
02.30.Xx (Calculus of variations)