دانلود کتاب Field Theory Of Non-equilibrium Systems

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Cover
Title
Copyright
Contents
Preface to the Second Edition
Preface to the First Edition
1 Introduction
1.1 Closed Time Contour
1.2 Brief Outline of the Book
Part I Systems with Few Degrees of Freedom
2 Bosons
2.1 Bosonic Coherent States
2.2 Partition Function
2.3 Bosonic Gaussian Integrals
2.4 Normalization and Continuum Notation
2.5 Green Functions
2.6 Keldysh Rotation
2.7 Keldysh Action and Its Structure
2.8 Nonlinear Interactions
2.9 External Sources
2.10 Problems
2.10.1 Uncertainty Principle
2.10.2 Bogoliubov Transformation
2.10.3 Keldysh Perturbation Theory
3 Single-Particle Quantum Mechanics
3.1 Harmonic Oscillator
3.2 Quantum Particle in Contact with an Environment
3.3 From Matsubara to Keldysh
3.4 Quantum Tunneling in a Time-Dependent Potential
3.5 Dissipative Quantum Tunneling
3.6 Problems
3.6.1 Feynman￢ﾀﾓKeldysh Action for Symmetric Potentials
3.6.2 Korshunov Instantons
4 Classical Stochastic Systems
4.1 Classical Dissipative Action
4.2 Langevin Equation
4.3 Multiplicative Noise and Martin￢ﾀﾓSiggia￢ﾀﾓRose Method
4.4 Optimal Path Approximation
4.5 Fokker￢ﾀﾓPlanck Equation
4.6 Ito versus Stratonovich
4.7 Noise with a Finite Correlation Time
4.8 Kramers Problem
4.9 Counting Statistics: Donsker￢ﾀﾓVaradhan Theory and Beyond
4.10 Fluctuation Relation
4.11 Reaction Models
4.12 Time-Dependent Problems
4.13 Large Deviations in Multivariable Systems
4.14 Problems
4.14.1 Noise-Induced Stabilization
4.14.2 Anomalous Counting Statistics
4.14.3 Lotka￢ﾀﾓVolterra Model
5 Driven-Dissipative Systems
5.1 Rotating-Wave Approximation
5.2 Lindblad Equation
5.3 From Keldysh to Lindblad
5.4 Linear Systems
5.5 Quantum Heating
5.6 Quantum Activation
5.7 Dark Space
5.8 Symmetries of Dissipative Evolution
5.9 Lindbladian Instantons
5.10 Optomechanical Cooling
5.11 Problems
5.11.1 Master Equation in the Number Basis
5.11.2 Husimi Function
5.11.3 Kinetic Equation
5.11.4 Bloch Equations
Part II Bosonic and Classical Fields
6 Bosonic Fields
6.1 Complex Bosonic Fields
6.2 Interactions
6.3 Dyson Equation
6.4 Real Bosonic Fields
6.5 Self-Energy
6.6 Wigner Transformation
6.7 Kinetic Term
6.8 Collision Integral
6.9 Problems
6.9.1 Diffusion in Energy Space
7 Dynamics of Collisionless Plasma
7.1 Plasma Action
7.2 Plasmons and Landau Damping
7.3 Acoustic Modes in Plasma
7.4 Random Phase Approximation
7.5 Beyond Linearized Dynamics
7.6 Nonlinear Landau Damping
7.7 Problems
7.7.1 Landau Damping of the Ion Acoustic Mode
8 Kinetics of Bose Condensates
8.1 Gross￢ﾀﾓPitaevskii Equation
8.2 Quasiparticles
8.3 Collisionless Relaxation of the Condensate Fluctuations
8.4 Condensate Growth and Collapse
8.5 Fluctuations
8.6 Semiclassical Dynamics of the Condensate
8.7 Quasiparticle Collision Integral
8.8 Dynamics of a Quantum Impurity in a Superfluid
8.9 Problems
8.9.1 Condensate in a Harmonic Trap
8.9.2 Collective Modes of the Condensate in the Harmonic Trap
8.9.3 Dark Solitons
8.9.4 Beliaev Damping
9 Dynamics of Phase Transitions
9.1 Dissipative Chains and Membranes
9.2 Equilibrium Statistical Mechanics
9.3 Critical Nucleation in First-Order Transitions
9.4 Dynamics Near a Classical Second-Order Transition
9.5 Hohenberg￢ﾀﾓHalperin Classification
9.6 Quantum Phase Transitions
9.7 Absorbing State Transitions
9.8 KPZ Dynamics of Growing Interfaces
9.9 Large Deviations in Stochastic Systems
9.10 Problems
9.10.1 Edwards￢ﾀﾓWilkinson Universality Class
9.10.2 Height Distribution in 1d Edwards￢ﾀﾓWilkinson Model
9.10.3 Soliton Solutions of Large Deviation Equations
Part III Fermions
10 Fermions
10.1 Grassmann Variables and Integrals
10.2 Partition Function
10.3 Green Functions and Keldysh Rotation
10.4 Free Fermionic Fields and Their Action
10.5 External Fields and Sources
10.6 Free Degenerate Fermi Gas
10.7 Interactions
10.8 Stoner Instability
10.9 Problems
10.9.1 Fermionic Bogoliubov Transformation
10.9.2 Random Matrices via Fermionic Replica
10.9.3 Fermionic Lindbladian Action
11 Kinetic Theory and Hydrodynamics
11.1 Kinetic Equation
11.2 Hydrodynamics of the Fermi Liquid
11.3 Hydrodynamic Modes
11.4 Magnetization Dynamics
11.5 Problems
11.5.1 H-Theorem
11.5.2 Hydrodynamics of Electron Flow
12 Aspects of Kinetic Theory
12.1 Kinetic Equation in Presence of the Berry Curvature
12.2 Floquet Kinetic Theory
12.3 Kinetic Equation as a Stationary Point of the O G- O6 Action
12.4 Boltzmann￢ﾀﾓLangevin Kinetic Equation
12.5 The Butterfly Effect and OTOC
12.6 Problems
12.6.1 Linearized Kinetic Equation
12.6.2 Near-Field Heat Transfer
13 Quantum Transport
13.1 Landauer Formula
13.2 Shot Noise
13.3 Counting Statistics
13.4 Fluctuation Relation
13.5 Adiabatic Pumping
13.6 Spin Torque
13.7 Problems
13.7.1 Meir￢ﾀﾓWingreen Formula
13.7.2 Levitons: Optimal Voltage Pulses
Part IV Disordered Metals and Superconductors
14 Disordered Fermionic Systems
14.1 Kinetic Equation Approach
14.2 Averaging over the Quenched Disorder
14.3 Nonlinear Sigma-Model
14.4 Stationary Point and Fluctuations
14.5 Sources and External Fields
14.6 Kubo Formula and Linear Response
14.7 Cooper Channel
14.8 Weak Localization and Scaling
14.9 Time-Dependent Perturbations
14.10 Problems
14.10.1 Temperature Profile in a Mesoscopic Wire
14.10.2 Electrodynamics of Disordered Metals
14.10.3Weak Localization Magneto-Conductance
15 Mesoscopic Effects
15.1 Spectral Statistics
15.2 Wigner￢ﾀﾓDyson Statistics
15.3 Universal Conductance Fluctuations
15.4 Full Counting Statistics in a Disordered Wire
15.5 Tunneling Action
15.6 Chaotic Cavity
15.7 Problems
15.7.1 Aharonov￢ﾀﾓBohm Conductance Oscillations
16 Electron￢ﾀﾓElectron Interactions in Disordered Metals
16.1 K-Gauge
16.2 Nonlinear Sigma-Model for Interacting Systems
16.3 Zero Bias Anomaly
16.4 Altshuler￢ﾀﾓAronov Effect
16.5 Kinetic Equation
16.6 Problems
16.6.1 Semiclassical Treatment of the Zero Bias Anomaly
16.6.2 Near-Field Heat Transfer in Disordered Metals
17 Dynamics of Disordered Superconductors
17.1 Cooper Channel Interactions
17.2 Usadel Equation
17.3 Stationary Superconductivity
17.4 SNS System
17.5 Collective Modes of Disordered Superconductors
17.6 Time-Dependent Ginzburg￢ﾀﾓLandau Theory
17.7 Fluctuating Superconductivity
17.8 Problems
17.8.1 Gapless Superconductivity
17.8.2 Microwave Absorption in Superconductors
17.8.3 Stimulated Superconductivity
18 Electron￢ﾀﾓPhonon Interactions
18.1 Phonon Action and Propagators
18.2 Frￃﾶhlich and Pippard Electron￢ﾀﾓPhonon Interactions
18.3 Nonlinear Sigma￢ﾀﾓModel for Electron￢ﾀﾓPhonon Interactions
18.4 Electron Kinetics in Normal Metals
18.5 Kinetics of Quasiparticles in Superconductors
18.6 Phonon Kinetics
18.7 Ultrasound Attenuation
18.8 Problems
18.8.1 Temperature Profile in a Conductor
18.8.2 Phonon Diffusion
18.8.3 Quantum Correction to Electron￢ﾀﾓPhonon Vertex
18.8.4 Sigma-Model with Moving Impurities
References
Index