Ethan Lake, MIT

Multipole Symmetries in Many-Body Physics

I will discuss recent work on the many body physics of systems with multipolar conservation laws, in which a total charge and various multipole moments thereof are conserved. Particular focus will be placed on Hubbard models with dipole moment conservation, which enjoy a natural experimental realization in strongly tilted optical lattices. The bosonic versions of these models possess unusual insulating Bose-Einstein condensates and unconventional patterns of spontaneous symmetry breaking, while the fermionic versions host exotic non-Fermi liquids. I will also discuss the ramifications that multipole conservation has for diffusive dynamics, where it leads to unusually large dynamical exponents and exponentially localized steady states.