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本頁翻譯進度

燈號說明

審定:無
翻譯:林華觀(簡介並寄信)
編輯:翁唯城(簡介並寄信)

課程目的

本課程的目的有二。第一,我們將會討論凝聚物理及原子物理中感興趣的主題,重點討論多體系統中的量子統計效應、相互作用和關連性。其次,我們將會對場的量子化方法及其在多體系統中的應用作簡單的介紹。我們將著重於本課的物理及具象化方面。然而本課程主要是為有廣泛興趣的學生而設計,將從凝態物理學提供許多實例。


先修課程

統計力學及量子力學的導論課程。例如8.044(統計物理I)、8.08(統計物理II)及8.04(量子物理I)


課程綱要

  • 玻色凝結 (準粒子、集體模式、超流及渦流)
  • 費米氣體及液體、集體激發
  • 庫柏對(BCS理論、非對角長距階、超導)
  • 原子與光場的相互作用
  • 蘭姆位移、卡西米爾效應
  • 狄克超輻射
  • 局部無序介質中的量子傳輸及波散射
  • 隧道效應和瞬子
  • 宏觀量子系統,與熱源的耦合
  • 自旋玻色模型、隧道效應與局部化
  • 康多效應
  • 氣體和固體中的自旋力學與傳輸
  • 光學晶格中的冷原子
  • 光探測和電子干擾的量子理論


推薦讀物

Stone, Michael. 《量子場物理》(The Physics of Quantum Fields) Springer, 2000.


習題

每週共13道習題。作業於每週的第一節課課前提交。


學期研究報告

學期研究報告題目列表將於課上討論和提出。


評分標準

活動 百分比
作業 60%
學期研究報告 40%



Aim of the Course

The aim of the course is two-fold. First, we shall discuss topics of interest for both condensed matter and atomic physics, focussing on the effects of quantum statistics, interactions, and correlations in many-particle systems. Our second goal will be to provide a gentle introduction to the methods of quantized fields and their applications in many-body physics. We shall try to emphasize the physical and visualizable aspects of the subject. While the course is intended for students with a wide range of interests, many examples will be drawn from condensed matter physics.


Prerequisites

Statistical Mechanics and Quantum Mechanics, introductory level courses, such as 8.044 (Statistical Physics I), 8.08 (Statistical Physics II), and 8.04 (Quantum Physics I).


Course Topics

  • Bose Condensates (Quasiparticles, Collective Modes, Superfluidity, Vortices)
  • Fermi Gases and Liquids, Collective Excitations
  • Cooper Pairing (BCS Theory, Off-diagonal Long-range Order, Superconductivity)
  • Atom Interacting with an Optical Field
  • Lamb Shift, Casimir Effect
  • Dicke Superradiance
  • Quantum Transport and Wave Scattering in Disordered Media, Localization
  • Tunneling and Instantons
  • Macroscopic Quantum Systems, Coupling to a Thermal Bath
  • Spin-boson Model, Tunneling and Localization
  • Kondo Effect
  • Spin Dynamics and Transport in Gases and Solids
  • Cold Atoms in Optical Lattices
  • Quantum Theory of Photodetection and Electric Noise


Recommended Text

Stone, Michael. The Physics of Quantum Fields. Springer, 2000.


Problem Sets

Weekly, 13 problem sets in total, due the first session of the week, in class (at the beginning of the lecture).


Term Paper

A list of term paper topics will be provided and discussed in class.


Grade

ACTIVITY PERCENTAGE
Problem Sets 60%
Term Paper 40%



 
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