Multipolar condensates and synthetic tensor gauge fields

I will describe a new type of condensates in which bosons need to form multipoles before condensation occurs. These multipolar condensates are closely related to the fractonic phase of matter and lead to multipolar Josephson effects, where supercurrents of multipoles arise in the absence of particle flows. Unlike conventional condensates that interact with vector gauge fields, multipolar condensates couple to higher rank tensor gauge fields. I will discuss schemes for creating synthetic tensor gauge fields and the resultant new macroscopic quantum phenomena both at and out of equilibrium.