耗散量子隧道系统的变分法研究

VARIATIONAL STUDY OF A DISSIPATIVE QUANTUMTUNNELING SYSTEM

本文用变分法研究了耗散量子系统中的声子基态及其对局域-退局域相变条件的影响。发现:1.声子基态不仅存在通常的位移效应,而且还有形变效应。本文提出的位移-压缩态可同时描述这两种效应;2.声子基态的选择对相变条件有很大影响。随着声子基态能量下降,相变曲线将向强耦合方向移动。

The ground states of phonons in a dissipative quantum tunneling system and their influences on the localiza ion-delocalization transtion are investigated by a variational approach. We find that: 1. There are two kind of influences, displacement and deformation, on phonon states due to coupling with a tunneling particle, and displaced -squeezed states are proposed ^-O describe both these influences. 2. The localization-delocahzation transition depends on the choice of phonon ground state. The transition will occur at strong coupling as the energy of the ground state decreases.