低密度极限的量子随机方程
Quantum stochastic equation for the low density limit
摘要:
给出了低密度极限下演化算符的量子随机微分方程的一种新的推导方法。利用分布方法,利用能量表示导出了低密度极限下二次主场的一个新代数。在低密度极限情形下,我们给出了通过二次相互作用与玻色场耦合的系统的随机黄金法则。特别地,计算了演化算子的真空期望值,并给出了它的指数衰减。
英文摘要:
A new derivation of quantum stochastic differential equation for the evolution operator in the low density limit is presented. We use the distribution approach and derive a new algebra for quadratic master fields in the low density limit by using the energy representation. We formulate the stochastic golden rule in the low density limit case for a system coupling with Bose field via quadratic interaction. In particular the vacuum expectation value of the evolution operator is computed and its exponential decay is shown.
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