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学术报告之“Asymmetry Measure of Evolutions with respect to Lie Algebras”

2019年04月08日 19:59  点击:[]

报告题目:Asymmetry Measure of Evolutions with respect to Lie Algebras

报告人:秦慧慧

报告时间:2019410 星期三 15:30-16:30

报告地点:南四教学楼306会议室

报告人简介:

秦慧慧,北京计算科学研究中心博士后,合作导师孙昌璞院士,201612月获得华南理工大学数学博士学位,2014年至2016年于德国莱比锡马克普朗数学研究所接受联合博士培养。秦博士的主要研究课题包括量子纠缠,不确定性关系,非局域性研究等。博士后工作期间,她的主要课题是量子系统非对称度量研究以及量子热机的绝热非平衡态研究。秦博士从进入量子信息和量子计算领域至今已在国际知名杂志发表系列文章,其中包括[[Phys. Rev. A 92, (2015) 062309; Phys. Rev. A 99 (2019) 03210; Scientific Reports 6 (2016) 31192, Scientific Reports 7 (2017) 46505]. 秦博士目前主持国家自然科学基金两项,其中青年项目一项[基金号:11701128]; 理论物理专项博士后项目一项[11847244]

摘要

Symmetry plays a central role in a broad range of problems in both physics and mathematics. It is used, for instance, in Noethers theorem to find the consequence of symmetry of a dynamics. For many systems of interest, there are important phenomena caused by symmetry changing such as symmetry breaking, spontaneous symmetry breaking, and quantum phase transitions. For quantum systems whose evolutions are described by Hamiltonian H, we give a well defined asymmetry measure of H with respect to Lie algebras. We show that it implies the asymmetry measure of H with respect to Lie groups by assumption of the uniformness of the Haar measures and calculate examples to illustrate this conclucion. In addition, by using the asymmetry measure of H with respect to Lie algebras, we obtain the degree of deformation of quantum harmonic oscillators.



数学与统计科学学院

 2019年4月8日



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