Non-equilibrium 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 quantum and classical statistical physics

• Operator algebras and functional analysis
• Algebraic Bethe ansatz
• Quantum groups and their representations
• Random matrix theory

See List of Publications