AI 中文总结
本研究构建含位点跳跃粒子的一维晶格多体模型，解决不可区分性问题，发现粒子统计影响量子达尔文主义性质，为量子测量动力学实验测试提供支撑。
AI 中文摘要
近年来，通过对孤立量子系统中多体动力学的研究，人们获得了关于退相干和量子测量的新理论见解。目前已明确，系统-环境相互作用中的参数和能量尺度，在退相干事件中对量子系统的信息向周围环境扩散的难易程度具有决定性影响。量子达尔文主义（QD）是研究这些效应的常用框架，但迄今为止，很少有研究将其应用于现实的多体模型。受实验可实现装置的启发，本研究引入了一个简单、灵活、数值精确的多体模型，用于描述系统向环境广播信息的过程：该模型为含跳跃粒子的一维位点晶格。我们表明，不同的参数选择会重现具有不同退相干和QD效应的已知场景，如平衡、相干性复兴和冗余性。在构建该模型时，我们解决了关键的不可区分性问题：解释了当环境由不可区分的费米子或玻色子（或包含它们的位点）组成时，如何计算环境一部分的熵。随后我们证明，粒子统计特性会对装置的QD性质产生显著影响，费米子环境有时比玻色子环境或基于位点的环境更容易实现冗余性。我们的工作为理论模型与量子测量动力学及量子-经典转变的实验测试更紧密地对齐打开了大门。
英文摘要
In recent years, new theoretical insights into decoherence and quantum measurements have emerged through the study of many-body dynamics in isolated quantum systems. It is now understood that the parameters and energy scales in system-environment interactions decisively affect how readily information spreads from a quantum system into its surroundings during a decoherence event. A popular choice for studying these effects is the framework of quantum Darwinism (QD), but so far few works have applied this to realistic many-body models. Inspired by experimentally-accessible setups, in this work we introduce a simple, flexible, numerically exact many-body model of a system broadcasting information into an environment: a 1D lattice of sites with hopping particles. We show that different choices of parameters lead to the recovery of known scenarios featuring different decoherence and QD effects, such as equilibration, revivals of coherence, and redundancy. In constructing this model we resolve the crucial issue of indistinguishability: we explain how to calculate the entropy of a fraction of the environment when said environment is composed of indistinguishable fermions or bosons (or lattice sites containing them). We then show that particle statistics can make a notable difference to the QD properties of the setup, with fermionic environments sometimes achieving redundancy much more readily than bosonic or site-based ones. Our work opens the door to much closer alignment between theoretical models and experimental tests of the dynamics of quantum measurements and the quantum-to-classical transition.
Comments14 pages main text, comments welcome
