自旋-玻色系统中纠缠态的量子Fisher信息量演化

J4 ›› 2018, Vol. 35 ›› Issue (1): 42-48.

自旋-玻色系统中纠缠态的量子Fisher信息量演化

苏州科技大学数理学院物理系

收稿日期:2016-10-08 修回日期:2016-11-25 出版日期:2018-01-28 发布日期:2018-04-04

Quantum Fisher Information of Entangled States in Spin-Boson System

Received:2016-10-08 Revised:2016-11-25 Published:2018-01-28 Online:2018-04-04

摘要/Abstract

摘要： 通过典型的自旋-玻色模型，研究了具有类欧姆频谱的玻色场环境对量子参数估计精度的影响。在原子受外场驱动的条件下，采用二阶含时量子主方程和超算符方法得到了N个独立原子系统的量子Fisher 信息量的演化结果。利用数值计算，我们发现随着纠缠的原子数目增多，量子Fisher信息量会增大；同时，量子Fisher 信息量的衰减也会大大加快。在一些特征时间内，可以获得比标准量子极限更好的测量结果。当频谱的幂指数s越大，超欧姆玻色环境在一定程度上可以抑制量子纠缠态的Fisher信息量衰减。

关键词: 自旋-玻色模型、量子纠缠态、量子参数估计、量子Fisher信息量

Abstract: We investigate the effects of the Ohmic-like bosonic environment on the precision of quantum parameter estimation in the typical spin-boson model. When atoms are driven by external fields, the dynamics of quantm Fisher information of N independent atoms by means of time-dependent quantum master equation and superoperators. According to the numerical results, it is found out that the values of quantum Fisher information can be enhanced with the increase of the number of entangled atom. However, the quantum Fisher information also decays quickly when N is large. During the characteristic period, the quantum metrology based on maximally entangled state is superior to that based on product state. When the spectral parameter s is large, the decay of the quantum Fisher information can be suppressed to a certain extent in the super-Ohmic bosonic environment.

Key words: spin-boson model, quantum entanglement, quantum parameter estimation, quantum Fisher information

中图分类号:

0431

严凯谢燕青黄雨梦郝翔 . 自旋-玻色系统中纠缠态的量子Fisher信息量演化[J]. J4, 2018, 35(1): 42-48.

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