报告人：景俊 教授（浙江大学）

题目：From Liouville equation to universal quantum control

时间：2026年5月30日（周六）上午10：00

地点：理工楼1226

联系人：安钧鸿、吴威

报告摘要：

We establish a universal quantum-control framework inspired by analytical mechanics. The seemingly disparate control approaches for classical and quantum continuous-variable systems are interconnected via differential manifolds of the ancillary representations. For classical systems, the ancillary representation is defined by the time-dependent ancillary canonical variables resulting from a symplectic transformation over the original canonical variables. Under the conditions of the Hamilton-Jacobi equation, the ancillary canonical variables act as dynamical invariants to guide the system nonadiabatically through the phase space. The second quantization of the Liouville equation for the canonical variables leads to the Heisenberg equation for the relevant ancillary operators, by which we can activate nonadiabatic passages superposed by initial and target modes. The Heisenberg equation or the equivalent commutation condition about the Hamiltonian’s coefficient matrix and projection operator in the stationary ancillary representation serves as both necessary and sufficient condition to exactly solve the time-dependent Schrödinger equation. Similar idea applies to the time-dependent quantum discrete-variable systems under either Hermitian or non-Hermitian Hamiltonian.

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*, Universal quantum control by non-Hermitian Hamiltonian, Physical Review A, 112, 032605 (2025).

[3] Z. Jin and J. Jing*, Universal quantum control over bosonic networks,Physical Review A 113, 012426 (2026).

[4] Z. Jin and J. Jing*, Universal quantum control over non-Hermitian continuous-variable systems,Physical Review A 113, 042452 (2026).

个人简介：

景俊，浙江大学教授，上海交通大学物理系本科（1998~2002）、硕博连读（2002~2007），2007年获理论物理博士学位。上海大学物理系讲师（2007~2009）、副教授（2009~2014）。吉林大学原子与分子物理研究所教授、博士生导师（2014~2017）。浙江大学物理学院教授、博士生导师、独立PI（2017~）。曾任美国史蒂文斯理工学院博士后级研究助理（2010~2012）；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（2013~2014）、北京计算科学中心（2015~2016）、香港理工大学应用物理系（2016）访问学者。曾获2009年度上海市教育委员会&上海市教育发展基金会“晨光”计划学者称号。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调控、以及量子测量基本理论方面的研究。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两项。