TY - JOUR AU - Anjun Chu AU - Johannes Will AU - Jan Arlt AU - Carsten Klempt AU - Ana Maria Rey AB - We theoretically propose and experimentally demonstrate the use of motional sidebands in a trapped ensemble of 87Rb atoms to engineer tunable long-range XXZ spin models. We benchmark our simulator by probing a ferromagnetic to paramagnetic dynamical phase transition in the so called Lipkin-Meshkov-Glick (LMG) model, a collective XXZ model plus additional transverse and longitudinal fields, via Rabi spectroscopy. We experimentally reconstruct the boundary between the dynamical phases, which is in good agreement with mean-field theoretical predictions. In addition we analyze the achievable spin squeezing in our XXZ simulator theoretically, opening the possibilities of using motional sidebands as a tool to push the frontiers of metrology via quantum entanglement. BT - Physical Review Letters DA - 2020-12 DO - 10.1103/PhysRevLett.125.240504 IS - 24 N2 - We theoretically propose and experimentally demonstrate the use of motional sidebands in a trapped ensemble of 87Rb atoms to engineer tunable long-range XXZ spin models. We benchmark our simulator by probing a ferromagnetic to paramagnetic dynamical phase transition in the so called Lipkin-Meshkov-Glick (LMG) model, a collective XXZ model plus additional transverse and longitudinal fields, via Rabi spectroscopy. We experimentally reconstruct the boundary between the dynamical phases, which is in good agreement with mean-field theoretical predictions. In addition we analyze the achievable spin squeezing in our XXZ simulator theoretically, opening the possibilities of using motional sidebands as a tool to push the frontiers of metrology via quantum entanglement. PY - 2020 SE - 240504 EP - 240504 T2 - Physical Review Letters TI - Simulation of XXZ Spin Models using Sideband Transitions in Trapped Bosonic Gases VL - 125 ER -