报告人:景俊教授
单位:浙江大学物理学院
报告时间:2025年10月15日 星期三 9:00
报告地点:知新楼C1111
邀请人:赵培茈
报告内容:Universal quantum control by time-dependent Hamiltonian: Hermitian and non-Hermitian
Abstract:
Conventional manipulations over quantum systems for such as coherent population trapping and unidirectional transfer, focus on Hamiltonian engineering while regarding the system’s manifold geometry and constraint as secondary causes. Here, we treat them on equal footing in controlling a time-dependent quantum system under either Hermitian or non-Hermitian Hamiltonian, which is inspired by the d’Alembert principle of regarding active force, constraint force, and inertial force in an unbiased way. For the Hermitian Hamiltonian, we prove that multiple nonadiabatic paths can be derived by the von Neumann equation for the parametric ancillary projection operators. No transition exists among the ancillary basis states during the time evolution. For the non-Hermitian Hamiltonian, we prove that the triangularization of Hamiltonian in the constraint picture is sufficient to construct at least one nonadiabatic passage in both bra and ket spaces. The passage ends up with a desired target state that is automatically normalized without artificial normalization. Our works demystify and unify the popular protocols on quantum state engineering, including stimulated Raman adiabatic passage, the Lewis-Riesenfeld theory for invariants, quantum transitionless driving, and holonomic transformation. We actually establish a universal quantum-control framework inspired by classical mechanics with a clear motivation and a convenient derivation.
References:
[1] Z. Jin and J. Jing*, Universal perspective on nonadiabatic quantum control, Physical Review A 111, 012406 (2025).
[2] Z. Jin and J. Jing*, Entangling distant systems via universal nonadiabatic passage, Physical Review A 111, 022628 (2025).
[3] Z. Jin and J. Jing*, Universal quantum control with dynamical correction, Physical Review A, 112, 022427 (2025).
[4] Z. Jin and J. Jing*, Universal quantum control by non-Hermitian Hamiltonian, Physical Review A, 112, 032605 (2025).
报告人简介:景俊,浙江大学物理学院教授、博士生导师,独立PI(2017至今)。上海交通大学物理系本科、硕博连读,2007年获理论物理博士学位。上海大学物理系讲师、副教授。吉林大学原子与分子物理研究所教授、博士生导师。曾任美国史蒂文斯理工学院博士后级研究助理;西班牙巴斯克大学理论物理系、美国纽约大学水牛城分校物理系、北京计算科学中心、香港理工大学应用物理系访问学者。主要致力于开放量子系统动力学、量子几何相、量子退相干、量子光学系统与固态量子系统的状态调控、以及量子测量理论方面的研究。目前主持国家自然科学基金面上基金三项、青年基金一项,参与国家自然科学基金联合基金一项。译著两本:《量子光学导论》(清华大学出版社2019)、《原子与光子相互作用:基本过程和应用》(清华大学出版社2021)。
原创性工作包括:
(1)解决了零温环境下任意三能级量子开放系统的精确动力学问题。
(2)在精确动力学基础上发现量子系统与环境之间动力学解耦的必要条件。
(3)在开放量子系统的理论框架下拓展了量子绝热定理。
(4)提出量子芝诺效应或反芝诺效应的简单物理判据。
(5)提出冷却量子谐振子的高效率迭代方案。
(6)建立过程相关的量子微扰论方法(推广高阶费米黄金律)。
(7)在统一量子绝热捷径与量子和乐计算基础上提出通用量子控制理论。