Nonequilibrium Classical and Quantum Statistical Mechanics

  • Transport phenomena in low dimensional systems: integrable & non-integrable, classical & quantum

  • Open quantum systems
  • Phase transitions in open systems far from equilibrium
  • Canonical quantization in Fock space of operators ("Third quantization")

Quantum Information Theory

  • Quantum entanglement and critical phenomena
  • Simulability of quantum states and operators
  • Entanglement of random states
  • Quantum algorithms

Classical and Quantum Chaos

  • Hamiltonian dynamical systems: from integrability to chaos
  • Ergodicity and dynamical mixing
  • Loschmidt echoes and fidelity decay
  • Classical and quantum billiards
  • Semiclassics, Wigner functions

Mathematical methods in statistical and quantum physics

See List of Publications