Evidence of spin liquid with hard-core bosons in a square lattice

Abstract

We show that laser assisted hopping of hard core bosons in a square optical lattice can be described by an antiferromagnetic $J_1$-$J_2$ XY model with tunable ratio of $J_2/J_1$. We numerically investigate the phase diagram of the $J_1$-$J_2$ XY model using both the tensor network algorithm for infinite systems and the exact diagonalization for small clusters and find strong evidence that in the intermediate region around , there is a spin liquid phase with vanishing magnetization and valence bond orders, which interconnects the Neel state on the $J_2\ll J_1$ side and the stripe antiferromagnetic phase on the side. This finding opens up the possibility of studying the exotic spin liquid phase in a realistic experimental system using ultracold atoms in an optical lattice.

5 pages, 5 figures

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Cited by in corpus (6)

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• Tunneling frustration induced peculiar supersolid phases in the extended Bose-Hubbard model
• Valley-dependent gauge fields for ultracold atoms in square optical superlattices
• Quantum dimer models emerging from large-spin ultracold atoms
• Plaquette valence bond state in spin-1/2 J1-J2 XY model on square lattice
• $XY$-VBS phase boundary for the square-lattice $J_1$-$J_2$ $XXZ$ model with the ring exchange