Contents

• Quantum Dissipation
  • Introduction
    • Motivation
    • Origin of Dissipation, System-Bath Theories
    • Overview
    • Literature
  • Master Equation I: Derivation
    • Interaction Picture
    • Perturbation Theory in the System-Bath Coupling
    • Explicit Form of Master Equation
  • Master Equation II: the Damped Harmonic Oscillator
    • Introduction
    • Master Equation (RWA)
    • Rates and Energy Shift (RWA)
    • Final Form of Master Equation
    • Expectation Values (RWA Model)
    • Master Equation (Non-RWA Model)
    • Thermal Bath Correlation Function (non-RWA)
    • Derivation of Master equation (non-RWA), secular approximation
  • Master Equation IV: Phase Space Solution Methods
    • -representation
    • -representation
    • Remarks
  • Correlation Functions and the Quantum Regression Theorem
    • Correlation Functions
  • The Two-Level System I
    • Generic Model: Two-Level System Interacting with Bosonic Modes
    • Atom + Electrical Field
    • Spontaneous Emission (Atom without Driving Field)
    • Expectation Values, Einstein Equations, Bloch Equations
  • The Quantum Jump (Quantum Trajectory) Approach
    • Introduction
    • Unravelling and Decomposition into Histories
  • Feynman-Vernon Influence Functional Theories
    • Introduction, Motivation
    • Single Path Integrals
    • Double Path Integrals
    • The Influence Functional
    • Influence Functional for Coupling to Harmonic Oscillators
    • Applications: Linear Coupling, Damped Harmonic Oscillator
    • Another Look at Influence Functionals for General Baths
    • `Semiclassical' Limit for Damped Single Particle Motion
  • The Spin-Boson Problem
  • Master Equations: Some Further Remarks and Examples
    • Lindblad Theory
    • Resonance Fluorescence (Driven Dissipative Few-Level Atom)
    • Non-Markoffian Master Equations
  • Operator Langevin Equations
  
  
• Index
• About this document ...

©T.Brandes 2003