MEMORY EFFECTS IN THE RELAXATION OF QUANTUM OPEN SYSTEMS

MEMORY EFFECTS IN THE RELAXATION OF QUANTUM OPEN SYSTEMS
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DOI:
10.1063/1.463831
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发表时间:
1992-10-01
影响因子:
4.4
通讯作者:
OPPENHEIM, I
OPPENHEIM, I
中科院分区:
化学2区
文献类型:
--
作者:
SUAREZ, A;SILBEY, R;OPPENHEIM, I

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仔细检查的马尔可夫近似的松弛理论的背景下的有效性。特别是,我们研究的问题的积极性的各种近似的减少动态的开放系统与热库的相互作用。结果表明,只有在初始条件中补充了滑动,在弱耦合极限(Redfield方程)中获得的马尔科夫运动方程才是对实际约化动力学的一致逼近。这种滑移捕捉到了非马尔可夫演化的影响,这种演化发生在一个很短的瞬态时间内,其量级为孤立浴的弛豫时间。
A close examination of the validity of the Markovian approximation in the context of relaxation theory is presented. In particular, we examine the question of positivity of various approximations to the reduced dynamics of an open system in interaction with a heat reservoir. It is shown that the Markovian equations of motion obtained in the weak coupling limit (Redfield equations) are a consistent approximation to the actual reduced dynamics only if supplemented by a slippage in the initial conditions. This slippage captures the effects of the non-Markovian evolution that takes place in a short transient time, of the order of the relaxation time of the isolated bath.