The quest for nonequilibrium quantum phase transitions is often hampered by the tendency
of driving and dissipation to give rise to an effective temperature, resulting in classical …

We generalize the ensemble geometric phase, recently introduced to classify the topology of
density matrices, to finite-temperature states of interacting systems in one spatial dimension …

The Berry phase is a geometric phase of a pure state when the system is adiabatically
transported along a loop in its parameter space. The concept of geometric phase has been …

Quantized particle or spin transport upon cyclic parameter variations, determined by
topological invariants, is a key signature of Chern insulators in the ground state. While …

This dissertation brings together ideas from quantum information theory and condensed
matter physics to study many-particle systems of fermions. We revisit the structure of the …