1:30 pm MCP 201
Dipole conservation in some classical and quantum systems.
Natural laws typically permit only the charge conservation but in some engineered systems, dipole conservation may arise as an additional constraint. Inspired by recent experimental realization in tilted optical lattice, we have been developing several models in which dipole and higher-order multipole conservations are imposed. In this talk, we focus on two examples of dipole-conserving systems. One is the CP(N-1) skyrmion fluid in two dimensions, where we show that its hydrodynamiccs obeys dipole conservation and GMP algebra. The other example I discuss is the one-dimensional quantum chain protected by modulated symmetries which includes the dipole symmetry as a special example. I discuss our recent findings on how to express the dipolar cluster states in the neural quantum state representations and also suggest an interpretation for the Kramers-Wannier duality operation as the dipolar version of the well-known discrete Fourier transformation.