Tensor networks for quantum matter, quantum fields, and holography

用于量子物质、量子场和全息术的张量网络

• 批准号: RGPIN-2017-04209
• 负责人: VidalBonafont, Guifre
• 金额: $ 5.1万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=633115
• 关键词: Tensor; networks; quantum; matter; fields

Quantum Mechanics provides us with the basic rules of how microscopic objects behave at the atomic and subatomic scales. However, when we place many such quantum objects together, we are not capable of theoretically predicting how they will behave collectively. For instance, even though we know that the electrons in a class of high-temperature superconducting materials (called cuprates) obey the laws of Quantum Mechanics, and believe that we have an accurate microscopic model for how they interact with each other, we have not yet been able to derive the emergence of superconductivity from that microscopic model. Tensor networks are a new way of representing the collective state of quantum many-body systems, based on recent improvements in our understanding of quantum entanglement.

量子力学为我们提供了微观物体在原子和亚原子尺度上行为的基本规则。然而，当我们把许多这样的量子物体放在一起时，我们无法从理论上预测它们的共同行为。例如，尽管我们知道一类高温超导材料(称为铜酸盐)中的电子遵守量子力学定律，并相信我们有一个关于它们如何相互作用的准确微观模型，但我们还无法从这个微观模型推导出超导的出现。张量网络是一种新的描述量子多体系统集体态的方法，它建立在我们对量子纠缠理解的最新进展的基础上。