Dipolar Chiral Spin Liquids on stretched Kagome lattices

Modern AMO platforms enable us to directly prepare and investigate a new regime of complex quantum states, notably topological spin liquids. Usually arising as the ground states of highly frustrated systems, spin liquids offer an important landscape for studying how long-range entanglement leads to exotic emergent properties such as topologically protected degeneracy and fractionalized excitations. Recently, important landmark experiments studied the Z2 topological spin liquid; however, preparing other spin liquid phases remains challenging due to the difficulty of stabilizing these complex states. In this poster, we discuss how the combination of fine-tuned geometric control and long-range interactions in AMO systems can naturally stabilize a new type of spin liquid– the chiral spin liquid (CSL). Using large-scale tensor network calculations, we map out the phase diagram of dipolar interacting spins on a stretched (i.e. breathing) Kagome lattice. For intermediate breathings, spontaneous time-reversal symmetry breaking and chiral edge modes establish the presence of a robust CSL ground state. We complement our numerical study by developing a perturbative analysis starting from the large-breathing limit. The resulting effective model captures the qualitative features of the entire phase diagram and provides additional insights into the nature of the competing phases. We conclude by discussing paths to generating and probing the CSL state in the context of Rydberg atom and ultracold molecule tweezer array platforms.