量子布朗演化的内极限及其与正定性之关联
量子物理
2007-05-23 v2
摘要
传统的量子布朗传播子描述了一个感兴趣系统双线性耦合于库且初始与库不相关的演化，它不能保持密度算符的正定性，这促使研究者通过在相应生成元上临时添加与时间无关的项来修正传播子。我们表明，只要考虑到感兴趣系统与库在远短于传统传播子有效时间尺度上的快速纠缠，就无需为保持正定性而向生成元添加此类项。
引用
@article{arxiv.quant-ph/0505017,
title = {The Inner Limit of Quantum Brownian Evolution and its Relevance to Positivity},
author = {Allan Tameshtit},
journal= {arXiv preprint arXiv:quant-ph/0505017},
year = {2007}
}
备注
11 pages v2: a generalization is provided in the form of an exact expression for the reduced density operator. In addition, the definitions of the operators M and N were changed to ensure that they yield the unit operator (instead of minus the unit operator) at t=0. Equations depending on M and N were also correspondingly changed. These changes do not affect any of the main conclusions relating to positivity