Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet

0301 basic medicine Quantum Physics Atomic Physics (physics.atom-ph) Physics QC1-999 Condensed Matter - Superconductivity FOS: Physical sciences 01 natural sciences 7. Clean energy Physics - Atomic Physics Superconductivity (cond-mat.supr-con) QA76.75-76.765 03 medical and health sciences Quantum Gases (cond-mat.quant-gas) 0103 physical sciences Computer software Condensed Matter - Quantum Gases Quantum Physics (quant-ph)
DOI: 10.1103/prxquantum.3.040324 Publication Date: 2022-11-30T15:06:09Z
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 non-zero 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 $p+ip$ 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.<br/>Main: 9 pages, 4 figures, Appendix: 14 pages, 3 figures, Improved presentation<br/>
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