Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes

Nikhil Kotibhaskar, Chung-You Shih, Sainath Motlakunta +4

We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x\ddot{I}{ƒ}_x^i\ddot{I}{ƒ}_x^j$ + $J_{ij}^y\ddot{I}{ƒ}_y^i\ddot{I}{ƒ}_y^j$) Hamiltonians on trapped ion spins with…