88304am永利集团

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 time-dependent quantum systems under either Hermitian or non-Hermitian Hamiltonian. The idea 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 projection operators of ancillary bases. No transition exists among the ancillary basis states during the time evolution. For the non-Hermitian Hamiltonian, we prove that the Hamiltonian triangularization 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 establish a universal quantum-control framework with a clear motivation inspired by classical mechanics.

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).

[5] Z. Jin and J. Jing*, Universal quantum control over Majorana zero modes, Physical Review A, accepted (2025).

浙江大学物理学院教授、博士生导师、独立PI（2017~）。2007年于上海交通大学获理论物理博士学位。曾任上海大学物理系讲师、副教授（2007-2014）；吉林大学原子与分子物理研究所教授、博士生导师（2014-2017）。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状态调控、以及量子测量基本理论方面的研究。目前已在Physical Review Letters, Physical Review A等权威期刊发表百余篇论文，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。