Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet
Two-dimensional p+ip 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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-11-01
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| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/PRXQuantum.3.040324 |
| _version_ | 1811213964699238400 |
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| author | Athreya Shankar Emil A. Yuzbashyan Victor Gurarie Peter Zoller John J. Bollinger Ana Maria Rey |
| author_facet | Athreya Shankar Emil A. Yuzbashyan Victor Gurarie Peter Zoller John J. Bollinger Ana Maria Rey |
| author_sort | Athreya Shankar |
| collection | DOAJ |
| description | Two-dimensional p+ip 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+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. |
| first_indexed | 2024-04-12T05:55:02Z |
| format | Article |
| id | doaj.art-814de9d54f4c4c028e0873937d428c47 |
| institution | Directory Open Access Journal |
| issn | 2691-3399 |
| language | English |
| last_indexed | 2024-04-12T05:55:02Z |
| publishDate | 2022-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj.art-814de9d54f4c4c028e0873937d428c472022-12-22T03:45:11ZengAmerican Physical SocietyPRX Quantum2691-33992022-11-013404032410.1103/PRXQuantum.3.040324Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion MagnetAthreya ShankarEmil A. YuzbashyanVictor GurariePeter ZollerJohn J. BollingerAna Maria ReyTwo-dimensional p+ip 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+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.http://doi.org/10.1103/PRXQuantum.3.040324 |
| spellingShingle | Athreya Shankar Emil A. Yuzbashyan Victor Gurarie Peter Zoller John J. Bollinger Ana Maria Rey Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet PRX Quantum |
| title | Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet |
| title_full | Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet |
| title_fullStr | Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet |
| title_full_unstemmed | Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet |
| title_short | Simulating Dynamical Phases of Chiral p+ip Superconductors with a Trapped ion Magnet |
| title_sort | simulating dynamical phases of chiral p ip superconductors with a trapped ion magnet |
| url | http://doi.org/10.1103/PRXQuantum.3.040324 |
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