Dipole-constrained many-body models
Progress in synthesizing many-body systems using cold atoms and quantum circuits has prompted a new thinking and attitude on quantum materials research going beyond the traditional solid-state paradigm. One noticeable development is the fabrication of highly tilted optical lattice where particle hopping is constrained by the emergent dipole conservation. Motivated by such experimental progress, a flurry of theoretical activities has taken place over the past several years inventing models with dipole constraints and examining their properties. In this talk, I outline our own attempts at such new science by discussing possible phase diagrams of one-dimensional dipolar boson Hubbard model [1], classical diffusive systems with dipolar constraint [2], and a one-dimensional SPT model protected by dipolar symmetry [3].
[1] Dipole condensates in Bose-Hubbard chains, Phys. Rev. B 107, 195132 (2023)
[2] Scaling and localization in kinetically constrained diffusion, arXiv:2304.03276 (2023)
[3] Topological spin chain protected by modulated symmetries, in preparation (2023)