物理学报2025，Vol.74Issue(10)：45-58,14.DOI:10.7498/aps.74.20250210
基于动力学量子几何张量的多能级系统布居转移的优化控制
Optimal control of population transfer in multi-level systems by dynamical quantum geometric tensor
李冠强 1张育琦 1郭浩 1董又娇 1蔺治宇 1彭娉1
作者信息
- 1. 陕西科技大学物理与信息科学学院,西安 710021
- 折叠
摘要
Abstract
The optimal control of population transfer for multi-level systems is investigated from the perspective of quantum geometry.Firstly,the general theoretical framework of optimizing the STIRAP scheme based on the dynamical quantum geometric tensor is given,and then the dynamical quantum geometric tensor and the nonadiabatic transition rate are calculated by taking the detuned Λ-type three-level system and tripod-type four-level system for example.Secondly,the transfer dynamics of the particle population of the system are investigated in detail.For a three-level system,the optimal STIRAP scheme has an efficiency of over 98％in transferring the population to the state|3>,while the transfer efficiency of traditional STIRAP is about 72％.The superposition states with arbitrary proportions can be efficiently prepared for a four-level system due to the decoupling of the degenerate dark states.Finally,the influences of system parameters,such as the operating time of the Rabi pulses,the amplitude fluctuation and the single-photon detuning,on the transfer process are discussed.Especially,the phenomena of the adiabatic resonance transfer are revealed.Choosing the pulse parameters in the resonance window can reduce the infidelity of the population transfer to below 10-3.It is found that the optimal STIRAP scheme by the dynamical quantum geometric tensor provides faster and more efficient transfer than the traditional STIRAP scheme.关键词
受激拉曼绝热通道/动力学量子几何张量/绝热布居转移/Λ型三能级系统/三脚架型四能级系统/暗态Key words
stimulated Raman adiabatic passage/dynamical quantum geometric tensor/adiabatic population transfer/Λ-type three-level system/tripod-type four-level system/dark states引用本文复制引用
李冠强,张育琦,郭浩,董又娇,蔺治宇,彭娉..基于动力学量子几何张量的多能级系统布居转移的优化控制[J].物理学报,2025,74(10):45-58,14.
