Chu Yaoming, Li Xiangbei, Cai Jianming
School of Physics, Hubei Key Laboratory of Gravitation and Quantum Physics, International Joint Laboratory on Quantum Sensing and Quantum Metrology, Institute for Quantum Science and Engineering, <a href="https://ror.org/00p991c53">Huazhong University of Science and Technology</a>, Wuhan 430074, China.
Phys Rev Lett. 2024 Sep 13;133(11):110201. doi: 10.1103/PhysRevLett.133.110201.
Entanglement, a hallmark of quantum mechanics, is a vital resource for quantum technologies. Generating highly entangled multipartite states is a key goal in current quantum experiments. We unveil a novel framework for understanding entanglement generation dynamics in Hamiltonian systems by quantum delocalization of an effective operator wave function on a correlation landscape. Our framework establishes a profound connection between the exponentially fast generation of multipartite entanglement, witnessed by the quantum Fisher information, and the linearly increasing asymptotics of hopping amplitudes governing the delocalization dynamics in Krylov space. We illustrate this connection using the paradigmatic Lipkin-Meshkov-Glick model and highlight potential signatures in chaotic Feingold-Peres tops. Our results provide a transformative tool for understanding and harnessing rapid entanglement production in complex quantum systems, providing a pathway for quantum enhanced technologies by large-scale entanglement.
量子纠缠作为量子力学的一个标志，是量子技术的重要资源。生成高度纠缠的多体状态是当前量子实验的一个关键目标。我们通过有效算符波函数在关联景观上的量子离域，揭示了一个理解哈密顿系统中纠缠生成动力学的新框架。我们的框架在由量子费舍尔信息见证的多体纠缠的指数快速生成与控制克里洛夫子空间中离域动力学的跳跃幅度的线性增长渐近性之间建立了深刻的联系。我们使用典型的李普金 - 梅什科夫 - 格利克模型来说明这种联系，并突出了混沌的费因戈尔德 - 佩雷斯陀螺中的潜在特征。我们的结果为理解和利用复杂量子系统中的快速纠缠产生提供了一个变革性工具，为通过大规模纠缠实现量子增强技术提供了一条途径。
