Nonequilibrium thermodynamics and many-body dynamics in open quantum systems

Quantum gas microscopy has revolutionarized our view on quantum many-body systems where atoms trapped in an optical lattice can be observed in real time at the single-particle level. At such extreme precision, the measurement backaction due to Heisenberg's uncertainty relation can no longer be ignored. One should naturally led to the question of whether or not nonequilibrium thermodynamics and statistical physics should be modified be modified and, if so, in what way and, in particular, how thermalization proceeds under continuous observation. A similar situation has emerged in a system of superconducting qubits under feedback control. I will address these issues and closely related problems of thermalization, heating and many-body localization in isolated and open quantum systems.