Upcoming Talk

Dmitry Abanin

Princeton University

Temporal entanglement and complexity of quantum many-body dynamics

Quantum entanglement characterizes the complexity of many-body states: its moderate scaling with the system size allows wave function compression, enabling classical tensor-network methods in equilibrium. In this talk, I will introduce a notion of temporal entanglement, which quantifies the non-Markovianity of a quantum bath and quantum dynamics. We will explore the scaling of temporal entanglement in integrable and chaotic systems and argue that for several relevant classes of problems, moderate temporal entanglement allows us to significantly compress a quantum bath, establishing some rigorous bounds along the way. Based on this insight, a whole new family of efficient methods out-of-equilibrium can be developed. These methods, in particular, are capable of capturing critical dynamics in multi-orbital impurity models out-of-equilibrium, and, more broadly, provide a new lens on the complexity of many-body phenomena. 

Host: Eugene Demler