Theory Seminar: Entanglement and Complexity of Thermal States

Sam Garratt
Princeton University
Quantum Many Body Seminar at the Theory Seminar Room
Thursday December 18th, 11:30 (MEZ)

Studies of entanglement in the ground states have provided insights into the relation between spatial correlations, low-energy spectral properties, and the computational resources required to describe a system. We know much less about entanglement in thermal equilibrium. This is because, at finite temperature, spatial correlations can be classical. In this talk I will show how entanglement in equilibrium is related to linear response. This relation allows for conventional experiments to detect how entanglement emerges on different length scales. I will then show how techniques from quantum statistical mechanics and field theory can be used to lower bound the resources necessary to prepare equilibrium states.