利用麦克斯韦关系测量拓扑纠缠熵
Measuring topological entanglement entropy using Maxwell relations
AI总结：
针对凝聚态系统中缺乏拓扑纠缠熵测量方案的问题，提出利用麦克斯韦关系、通过量子点电荷检测提取量子点接触夹断拓扑液体时的熵变以测量TEE的方法，并以阿贝尔Laughlin态验证，为拓扑态检测提供新途径。
摘要：
拓扑纠缠熵（TEE）是拓扑序的关键诊断指标，可用于检测阿贝尔或非阿贝尔任意子的存在。然而，目前尚无在凝聚态系统中测量TEE的方案。本文中，我们提出了一种测量TEE的方案，该方案基于拓扑液体被量子点接触（QPC）夹断为两部分时发生的热力学熵变与TEE之间的非平凡关联。我们展示了如何通过麦克斯韦关系，从附近量子点的电荷检测中提取该熵变。我们利用描述QPC中普适渡越的sine-Gordon模型的精确解，针对阿贝尔Laughlin态明确论证了这一点。我们的方法或许能开辟一种新的热力学检测方案，用于检测具有非阿贝尔统计的拓扑态。
英文摘要：
Topological entanglement entropy (TEE) is a key diagnostic of topological order, allowing to detect the presence of Abelian or non-Abelian anyons. However, there are currently no protocols to measure TEE in condensed matter systems. Here, we propose a scheme to measure the TEE, based on a nontrivial connection with the thermodynamic entropy change occurring in a quantum point contact (QPC) as it pinches off the topological liquid into two. We show how this entropy change can be extracted using Maxwell relations from charge detection of a nearby quantum dot. We demonstrate this explicitly for the Abelian Laughlin states, using an exact solution of the sine-Gordon model describing the universal crossover in the QPC. Our approach might open a new thermodynamic detection scheme of topological states also with non-Abelian statistics.
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