长聚合物链中低能量子非谐振动的精确解
无序系统与神经网络
2016-10-28 v6 量子物理
摘要
我们在共振方法框架内，针对由谐振与三阶非谐相互作用耦合的原子周期性线性链（Fermi-Ulam-Pasta 问题），提出了一种在长波长极限下确定其振动量子本征态的算法。这些本征态可以由决定其能量和波函数的整数序列来编码。利用这些本征态，我们描述了单声子态的时间演化，并展示了其相干振荡。讨论了该理论在振动能量输运和量子信息学中的应用。
引用
@article{arxiv.1508.07069,
title = {Exact solution for low energy quantum anharmonic vibrations in a long polymer chain},
author = {Alexander L. Burin},
journal= {arXiv preprint arXiv:1508.07069},
year = {2016}
}
备注
This manuscript need improvement because of the significant match of the results to the Luttinger liquid problem (Thanks to Dmitry Gutman for pointing that out). This match needs to be described and it can be used for the rigorous proof of the solutions found in the manuscript. The updated version will be posted as soon as the author will complete the revision