Towards Simulating a Dissipative Quantum Phase Transition using Trapped Ions*

Dynamics in open quantum systems is defined by the competition between unitary evolution and non-unitary operations, like measurements and/or interaction with the environment. Recent theoretical studies (Sierant,2022, Quantum,6,638) in the field have predicted the existence of a dissipative phase transition (DPT) in a periodically driven, long-range interacting quantum spin chain between a ferromagnetic ordered phase and a paramagnetic disordered phase as a function of resetting probabilities after coherent evolution. We can probe this driven-dissipative out-equilibrium dynamics using our trapped ion quantum simulator. To do so, we have developed a high optical access vacuum chamber which houses a linear, three-dimensional, blade trap to confine chains of Yb⁺ ions. Using our 0.3 NA and 0.6 NA re-entrant windows, we realize global, tunable Ising type interactions (coherent) to couple spins with counter-propagating Raman beams and localized dissipation (resetting) with site resolved optical pumping beams, respectively. We report on the latest developments in the calibration and minimization of the ion-ion crosstalk of the < 2μm individual beam waist/ion. We further discuss the local optical pumping scheme’s ability to prepare arbitrary product states and its versatility to achieve unexplored quantum many body physics beyond DPT using our simulator.