Muñoz-Arias Manuel H, Poggi Pablo M, Jessen Poul S, Deutsch Ivan H
Center for Quantum Information and Control, CQuIC, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Center for Quantum Information and Control, CQuIC, College of Optical Sciences and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA.
Phys Rev Lett. 2020 Mar 20;124(11):110503. doi: 10.1103/PhysRevLett.124.110503.
We study a method to simulate quantum many-body dynamics of spin ensembles using measurement-based feedback. By performing a weak collective measurement on a large ensemble of two-level quantum systems and applying global rotations conditioned on the measurement outcome, one can simulate the dynamics of a mean-field quantum kicked top, a standard paradigm of quantum chaos. We analytically show that there exists a regime in which individual quantum trajectories adequately recover the classical limit, and show the transition between noisy quantum dynamics to full deterministic chaos described by classical Lyapunov exponents. We also analyze the effects of decoherence, and show that the proposed scheme represents a robust method to explore the emergence of chaos from complex quantum dynamics in a realistic experimental platform based on an atom-light interface.
我们研究了一种使用基于测量的反馈来模拟自旋系综量子多体动力学的方法。通过对大量两能级量子系统进行弱集体测量，并根据测量结果应用全局旋转，人们可以模拟平均场量子踢陀螺的动力学，这是量子混沌的一个标准范例。我们通过分析表明，存在一个区域，其中单个量子轨迹能够充分恢复经典极限，并展示了从有噪声的量子动力学到由经典李雅普诺夫指数描述的完全确定性混沌的转变。我们还分析了退相干的影响，并表明所提出的方案是一种在基于原子 - 光界面的现实实验平台上探索从复杂量子动力学中出现混沌的稳健方法。
