量子混沌系统中的自旋压缩性质

宋立军; 严冬; 李永大

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量子混沌系统中的自旋压缩性质

论文 | 更新时间：2020-08-11

- 量子混沌系统中的自旋压缩性质
- Properties of Spin Squeezing in the Quantum Chaotic System
- 发光学报 2007年28卷第3期页码：336-340
- 作者机构：
  
  1. 长春理工大学, 理学院,吉林长春,130022
  2. 长春大学, 应用物理研究所,吉林长春,130022
  3. 浙江大学, 近代物理中心, 浙江, 杭州, 310027
  4. 兰州理工大学, 理学院, 甘肃, 兰州, 730050
- 作者简介：
- 基金信息：
  
  吉林省教育厅科技计划基金资助项目(2006095)()
- DOI：
  中图分类号： O422
- 收稿日期：2006-08-25，
  
  修回日期：2006-11-24，
  
  纸质出版日期：2007-05-20
- 稿件说明：
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宋立军, 严冬, 李永大. 量子混沌系统中的自旋压缩性质[J]. 发光学报, 2007,28(3): 336-340

SONG Li-jun, YAN Dong, LI Yong-da. Properties of Spin Squeezing in the Quantum Chaotic System[J]. Chinese Journal of Luminescence, 2007,28(3): 336-340
宋立军, 严冬, 李永大. 量子混沌系统中的自旋压缩性质[J]. 发光学报, 2007,28(3): 336-340 DOI：

SONG Li-jun, YAN Dong, LI Yong-da. Properties of Spin Squeezing in the Quantum Chaotic System[J]. Chinese Journal of Luminescence, 2007,28(3): 336-340 DOI：

摘要

量子信息是21世纪的一门新兴交叉学科

现已经成为世界关注的热门研究领域.近年来

量子计算机的研究正成为大家十分感兴趣的课题.在寻找量子计算的实现方案过程中

量子混沌引起了研究人员的极大关注

因为在量子计算机执行一些量子运算法则的过程中可能产生量子混沌

并可能破坏量子计算机的运算操作条件.近期有关量子纠缠与量子混沌之间的关系已经有所报道

而自旋压缩作为另外一种典型的纯量子效应

是否也与量子混沌之间存在一定关系呢?讨论了量子混沌研究中一个非常典型的QKT模型

研究了量子混沌系统中自旋压缩的性质.通过数值模拟计算

给出了两种不同定义的自旋压缩系数与混沌系数κ之间的变化关系

结果发现在经典相空间中

如果在规则区域占优势的情况下

当初始自旋相干态波包位于椭圆形中心时

随着时间的演化

系统压缩行为表现得非常强;而对于经典相空间中混沌区域占优势的情况下

初始自旋相干态波包同样位于椭圆形中心

则系统的压缩行为表现得非常弱

说明自旋压缩对相应的经典混沌非常敏感.通过比较还发现

采用Wineland等定义的自旋压缩系数比采用Kitagawa和Ueda等定义的自旋压缩系数对经典混沌更敏感一些

从而得出用自旋压缩可以刻画量子混沌的结论.

Abstract

The quantum information is a new interdisciplinary science in the 21st century

and it has become a research field which attracts strongly much attention in the world. Recently

the study of the quantum computer is in the ascendant. In the process of finding a scheme for quantum computation

quantum chaos aroused much attention. It has been shown that it is possible to induce quantum chaos when running quantum computer and consequently it may destroy the operational condition of the quantum computer. The relationship between quantum entanglement and quantum chaos has already been investigated

and the spin squeezing is regarded as another classical quantum property indeed

then is there a natural relationship between quantum chaos and spin squeezing? In this paper a very typical QKT model in the quantum chaos has been discussed

and the properties of spin squeezing in the quantum chaotic system has been studied. The relation between spin squeezing parameters and chaotic parameter in the two different definitions is worked out by numerical calculation. The stronger that the regular regions are than chaotic ones

which are chosen firstly

in the classical phase space

the stronger the spin system which the initial states locate at the centre of elliptical regions as a result. If the initial states are chosen another condition

the contrary result is obtained naturally. It indicates the spin squeezing is very sensitive to the classical chaos and the classical chaos suppresses the spin squeezing. It is interesting that the definition by Wineland is more sensitive than the one by Kitagawa and Ueda

consequently a conclusion

which the quantum chaos can be described by spin squeezing

is acquired.

关键词

Keywords

references

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