Quantum Many-Body Dynamics
Lecture
Thomas Gasenzer
Wednesday, 9:15-10:45, SR Pw 19
[
LSF]
Practice group:
Tuesday, 17:00 hrs, A.-Ueb. Str. 3-5 SR I
(Please
register by email if you require a Schein.)
Content -
Prerequisites -
Literature -
Additional material
Content:
-
1. Introduction
- From nonequilibrium statistical mechanics to many-body quantum dynamics
-
2. Basics of nonequilibrium quantum field theory
- Basics of quantum field theory
- Correlation functions
- KMS boundary condition
- Fluctuation-dissipation theorem
- Physical information in 2-point function
-
3. Functional-integral approach to Quantum Dynamics
- Feynman's path integral
- Functional derivatives and integrals
- Saddle-point expansion
- Perturbation theory
- Generating functional
- Schwinger-Keldysh contour
- Quantum vs classical path integral
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4. Quantum effective action approach
- Variational determination of the effective action
- Spontaneous Symmetry Breaking
- The effective action in real-time formulation
- 1PI and 2PI effective actions
- Dynamic equations
- Kadanoff-Baym equations
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5. Dynamic equations: Mean-field and beyond
- Mean-field approximation
- Time-dependent Hartree-Fock-Bogoliubov equations
- Mean-field dynamics of Bose-Einstein condensates
- Gross-Pitaevskii equation
- Linearized HFB equations
- Conservation laws
- Scattering effects and kinetic theory
- Derivation of Quantum Boltzmann equation
Prerequisites:
-
Quantum Mechanics (Theoretical Physics III), Statistical Mechanics (Theor. Phys. IV), Quantum Field Theory I or Quantum Optics
Literature:
-
M. Bonitz,
Quantum kinetic theory.
Teubner, Stuttgart, 1998.
[ Contents
| HEIDI
]
-
E. Calzetta and B.-L. Hu,
Nonequilibrium quantum field theory.
CUP, Cambridge, 2008.
[ Online fulltext
| HEIDI
]
-
L.P. Kadanoff and G. Baym,
Quantum statistical mechanics.
Addison-Wesley, Redwood City, 1989.
[ HEIDI
]
-
Jørgen Rammer,
Quantum field theory of non-equilibrium states.
CUP, Cambridge, 2007.
[ Online edition
| HEIDI
]
Additional material:
