期刊
PHYSICAL REVIEW RESEARCH
卷 3, 期 3, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.3.033145
关键词
-
资金
- U.S. National Science Foundation [PHY-1820679, PHY-1630114]
- U.S. Department of Energy, Office of Science, National Quantum Information Science Research Centers, Quantum Systems Accelerator
The research found that estimates of certain quantities in the simulation of a quantum system are more robust to chaotic perturbations than others.
We study how chaos, introduced by a weak perturbation, affects the reliability of the output of analog quantum simulation. As a toy model, we consider the Lipkin-Meshkov-Glick model. Inspired by the semiclassical behavior of the order parameter in the thermodynamic limit, we propose a protocol to measure the quantum phase transition in the ground state and the dynamical quantum phase transition associated with quench dynamics. We show that the presence of a small time-dependent perturbation can render the dynamics of the system chaotic. We then show that the estimates of the critical points of these quantum phase transitions, obtained from the quantum simulation of its dynamics, are robust to the presence of this chaotic perturbation, while other aspects of the system, such as the mean magnetization, are fragile and therefore cannot be reliably extracted from this simulator. This can be understood in terms of the simulated quantities that depend on the global structure of phase space vs those that depend on local trajectories.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据