Quantum many-body systems have traditionally been studied in thermal equilibrium where the methodology of statistical mechanics has proven very successful in describing them, and research on quantum phase transitions, i.e. abrupt changes in their ground state, has developed into a very active field. More recently, experimental possibilities to prepare quantum many-body systems in excited states, e.g. via parameter quenches, have motivated more investigations of non-equilibrium scenarios.
Enabled by technological progress in the engineering of cooling hardware, laser sources, and micro- or nano-structures, an increasing number of experimental settings, including ultra-cold atoms, ion traps, exciton polaritons, Rydberg atoms, and superconducting circuits, now offer the possibility to generate well controlled many-particle systems and hence trigger substantial research activity on quantum simulation.
We explore non-equilibrium dynamics of quantum many-body systems using Matrix Product State techniques as well as the Consistent Mori Projector approach developed by ourselves.