Quantum matter is weakly entangled at low energiesConfirmed

by Samuel Garratt (Princeton University)

Tuesday Jan 20, 2026, 3:30 PM → 5:00 PM America/Toronto

PI/4-405 - Bob Room (Perimeter Institute for Theoretical Physics)

The study of entanglement in the ground states of locally interacting many-body quantum systems has provided connections between spectral properties and the computational resources required for tensor-network calculations. Generic quantum states have volume-law entanglement, but ground states are typically observed to satisfy an area law, with corrections in gapless systems. I will introduce a new framework that provides rigorous upper bounds on entanglement entropies of states with fixed energy. These results constrain (i) ground-state entanglement in both gapped and gapless systems in general spatial dimensions, (ii) the crossover from area-law to volume-law entanglement as the system energy is increased and (iii) the computational resources necessary for calculations of zero-temperature response functions.