Quantum physics for complex systems



Part I – Formalism and closed systems

  1. Statistics and quantum mechanics: second quantization formalism.
  2. Nonlinearity in Hartree and Hartree-Fock static models. Fermions and bosons. Symmetry breaking.
  3. Symmetries and collective modes. Dynamic self-consistent fields.
  4. Applications ("tight-binding"lattice models, Bose-Einstein condensates, ...).


Part II – Open quantum systems

  1. Motivation and system-bath theories.
  2. Derivation of the master equation in weak coupling.
  3. Examples: damped harmonic oscillator; rotating wave approximation (RWA).
  4. Decoherence.
  5. "Spin-boson" model.