@article{13141, author = {Athreya Shankar and Emil Yuzbashyan and Victor Gurarie and Peter Zoller and John Bollinger and Ana Maria Rey}, title = {Simulating Dynamical Phases of Chiral $p+ip$ Superconductors with a Trapped ion Magnet}, abstract = {

Two-dimensional $p + i p$ superconductors and superfluids are systems that feature chiral behavior emerging from the Cooper pairing of electrons or neutral fermionic atoms with nonzero angular momentum. Their realization has been a longstanding goal because they offer great potential utility for quantum computation and memory. However, they have so far eluded experimental observation both in solid-state systems as well as in ultracold quantum gases. Here, we propose to leverage the tremendous control offered by rotating two-dimensional trapped-ion crystals in a Penning trap to simulate the dynamical phases of two-dimensional $p + i p$ superfluids. This is accomplished by mapping the presence or absence of a Cooper pair into an effective spin-1/2 system encoded in the ions’ electronic levels. We show how to infer the topological properties of the dynamical phases, and discuss the role of beyond mean-field corrections. More broadly, our work opens the door to use trapped-ion systems to explore exotic models of topological superconductivity and also paves the way to generate and manipulate skyrmionic spin textures in these platforms.

}, year = {2022}, journal = {P R X Quantum}, volume = {3}, pages = {040324}, month = {2022-11}, publisher = {American Physical Society}, url = {https://link.aps.org/doi/10.1103/PRXQuantum.3.040324}, doi = {10.1103/PRXQuantum.3.040324}, }