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Quantum Dissipative Systems 5th Edition By Ulrich Weiss

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The 5th edition of Quantum Dissipative Systems by Ulrich Weiss offers a comprehensive, updated analysis of open quantum systems interacting with dissipative environments. The text relies heavily on the microscopic system-plus-reservoir approach and functional path integral methods. [1, 2, 3, 4]
The primary thematic modules and topics covered in this edition include: [1, 2]
General Theory of Open Quantum Systems
  • Traditional Approaches: Diverse limited frameworks, Markovian and non-Markovian quantum master equations, and the evolution of the density matrix. [1, 2, 3, 4, 5]
  • System-Plus-Reservoir Models: Microscopic description of the environment using infinite sets of harmonic oscillators (e.g., Caldeira-Leggett model). [1, 2]
  • Path Integral Frameworks: Construction of both imaginary-time path integrals (for equilibrium thermodynamics) and real-time path integrals (for non-equilibrium dynamics). [1, 2]
Simple Dissipative Quantum Systems & Miscellaneous Applications
  • Damped Linear Systems: Analysis of the damped harmonic oscillator and quantum Brownian free motion.
  • Variational Methods: The thermodynamic variational approach to quantum dissipation.
  • Coherence Control: Phenomena involving the environmental suppression of quantum coherence. [1, 2]
Quantum Statistical Decay & Rate Theory
  • Transition Rate Principles: Brief survey of classical rate theory versus quantum rate theory basic methods.
  • Multidimensional Decay: Multidimensional quantum rate theory and the interplay between thermal and quantum fluctuations.
  • Macroscopic Quantum Tunneling (MQT): Quantum statistical decay out of metastable states. [1, 2, 3, 4]
The Dissipative Two-State System
  • Thermodynamics & Dynamics: Foundational methods, sundry dynamical topics, and the behavior of the driven two-state system (Spin-Boson model).
  • Particle Transfer: Electron transfer processes and incoherent quantum tunneling mechanisms. [1, 2, 3]
The Dissipative Multi-State System & Advanced Transport
  • Periodic Systems: Dynamics of a quantum particle in a periodic or washboard potential, with an emphasis on Ohmic friction.
  • Transport & Dynamics: Coverage includes quantum transport, current noise, and the application of duality symmetries.
  • Advanced Topics: Advanced discussions on full counting statistics, nonlinear mobility, and charge transport. [1, 3, 4]

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