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所在平台: Udemy |
课程主页: https://www.udemy.com/course/quantum-decoherence-gravity-from-quantum-entropy/
课程评论：没有评论
**课程名称：** 量子退相干与熵致引力 **课程概述：** 本课程是一门先进的理论物理课程，探索熵、量子力学与引力之间的联系。课程分为两部分。 **第一部分：量子退相干与量子熵** * 深入理解量子退相干在量子世界向经典世界过渡过程中的核心作用。 * 学习如何使用密度矩阵和冯·诺依曼方程来描述退相干。 * 介绍量子熵的概念，并演示其计算方法，重点关注冯·诺依曼熵。 * 分析维格纳函数的作用，探讨它如何连接量子动力学与经典相空间。 **第二部分：熵致引力** * 研究引力如何从熵原理中涌现。 * 将已学的工具应用于现代研究课题，包括拓扑度量、余微分算子以及熵作用量的变分。 * 重点讲解 Ginestra Bianconi 的最新研究成果，该成果利用熵作为基本物理量推导出修正的爱因斯坦场方程。 * 探讨宇宙常数如何从熵作用量中涌现。 * 通过分析 Ginestra Bianconi 的另一篇论文，学习如何计算黑洞的（量子）熵。 **课程特色：** 本课程整合了量子物理、广义相对论、场论、微分形式和信息论的深刻见解，适合对量子引力、量子理论基础、数学物理或复杂系统感兴趣的物理学家、数学家和工程师。也适合对信息和熵作为空间、时间及引力基本构成要素感到好奇的学习者。 **你将学到：** * 用密度矩阵和冯·诺依曼方程描述退相干。 * 维格纳函数在连接经典与量子动力学中的作用。 * 量子熵的概念和计算方法。 * 熵如何为物质场和规范场生成熵作用量。 * 拓扑和几何作用量的结构及其变分。 * Ginestra Bianconi 的“熵致引力”一篇文献的详细解析。 * 从熵的考虑推导出修正的爱因斯坦方程。 * 宇宙常数从熵作用量中涌现的机制。 * 通过分析一篇 Ginestra Bianconi 的论文，计算黑洞的（量子）熵。
In this course we explore the connection between entropy, quantum mechanics, and gravity.In this advanced theoretical physics course, we examine the fundamental role of quantum decoherence in the transition from quantum to classical behavior, and we intrpduce the concept of quantum entropy (this will be the first part of the course). After that, we take a step forward, investigating how gravity itself may emerge from entropic principles.Starting from the density matrix formalism, we develop a clear understanding of decoherence and how it explains the classical appearance of a fundamentally quantum world. We also analyze the important concept of Wigner function, which serves as a tool for connecting quantum dynamics with classical phase space. Then, we rigorously define quantum entropy, using the Von Neumann formulation.In the second half of the course, we apply these tools to modern research topics. We explore topological metrics, codifferential operators, and the variation of entropic actions. Special emphasis is placed on a recent and influential work by Ginestra Bianconi, which derives modified Einstein field equations using entropy as a fundamental physical quantity.This course integrates insights from quantum physics, general relativity, field theory, differential forms, and information theory, making it suitable for physicists, mathematicians, and engineers interested in the cutting-edge theoretical landscape.What You'll LearnHow to describe decoherence using the density matrix and von Neumann equationThe role of the Wigner function in bridging classical and quantum dynamicsThe concept and computation of quantum entropyHow entropy can lead to entropic actions for matter and gauge fieldsThe structure and variation of topological and geometrical actionsA detailed walkthrough of Ginestra Bianconi's paper "Gravity from Entropy"Derivation of modified Einstein equations from entropic considerationsThe emergence of a cosmological constant from an entropic actionHow to calculate the (quantum) entropy of a blackhole (by analyzing another article written by Ginestra Bianconi)Who Is This Course For?Physicists and mathematicians interested in quantum gravity or foundations of quantum theoryResearchers or students in theoretical physics, mathematical physics, or complex systemsAnyone curious about how information and entropy may be fundamental to space, time, and gravity
