Waveguide QED toolboxes for synthetic quantum matter with neutral atoms
Y. Dong, Y. S. Lee, Kyung Soo Choi · arXiv (Cornell University) · 2017
An exciting frontier in quantum information science is the realization of complex many-body systems whose interactions are designed quanta by quanta. Hybrid nanophotonic system with cold atoms has emerged as the paradigmatic platform for engineering long-range spin models from the bottom up with unprecedented complexities. Here, we develop a toolbox for realizing a fully programmable complex spin-network with neutral atoms in the vicinity of 1D photonic crystal waveguides. The enabling platform synthesizes strongly interacting quantum materials mediated by phonons from the underlying collective external motion of the atoms. We generalize our approach of universal 2-local Hamiltonians to long-range lattice models for interacting SU(n)-magnons mediated by local dynamical gauge fields.