Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets
We present a route towards the quantum simulation of exotic quantum magnetism in ion traps by exploiting dual relations between different spin models. Our strategy allows one to start from Hamiltonians that can be realized with current technology, while properties of an exotic dual model are inferre...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/3/033011 |
| _version_ | 1797751017700327424 |
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| author | Tobias Graß Maciej Lewenstein Alejandro Bermudez |
| author_facet | Tobias Graß Maciej Lewenstein Alejandro Bermudez |
| author_sort | Tobias Graß |
| collection | DOAJ |
| description | We present a route towards the quantum simulation of exotic quantum magnetism in ion traps by exploiting dual relations between different spin models. Our strategy allows one to start from Hamiltonians that can be realized with current technology, while properties of an exotic dual model are inferred from measurements of non-local, string-order-like, operators. The latter can be achieved from fluorescence, or from certain spectroscopic measurements, both of which can be combined with finite-size scaling by controlling the number of ions in the dual quantum simulator. We apply this concept to propose quantum simulators of frustrated quantum magnets, and Ising models with multi-spin interactions. We test the validity of the idea by showing numerically that the predictions of an ideal dual quantum simulator are not qualitatively modified by relevant perturbations that occur naturally in the trapped-ion scenario. |
| first_indexed | 2024-03-12T16:41:14Z |
| format | Article |
| id | doaj.art-2b547b7e1f9a49eb8df2924f73e77d0d |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:41:14Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-2b547b7e1f9a49eb8df2924f73e77d0d2023-08-08T14:28:09ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118303301110.1088/1367-2630/18/3/033011Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnetsTobias Graß0Maciej Lewenstein1Alejandro Bermudez2ICFO—Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology , Av. C. F. Gauss 3, E-08860 Castelldefels (Barcelona), SpainICFO—Institut de Ciències Fotòniques, The Barcelona Institute of Science and Technology , Av. C. F. Gauss 3, E-08860 Castelldefels (Barcelona), Spain; ICREA—Institució Catalana de Recerca i Estudis Avançats , Lluis Companys 23, E-08010 Barcelona, SpainInstituto de Física Fundamental , IFF-CSIC, Calle Serrano 113b, Madrid E-28006, SpainWe present a route towards the quantum simulation of exotic quantum magnetism in ion traps by exploiting dual relations between different spin models. Our strategy allows one to start from Hamiltonians that can be realized with current technology, while properties of an exotic dual model are inferred from measurements of non-local, string-order-like, operators. The latter can be achieved from fluorescence, or from certain spectroscopic measurements, both of which can be combined with finite-size scaling by controlling the number of ions in the dual quantum simulator. We apply this concept to propose quantum simulators of frustrated quantum magnets, and Ising models with multi-spin interactions. We test the validity of the idea by showing numerically that the predictions of an ideal dual quantum simulator are not qualitatively modified by relevant perturbations that occur naturally in the trapped-ion scenario.https://doi.org/10.1088/1367-2630/18/3/033011quantum magnetismtrapped ionsquantum simulation |
| spellingShingle | Tobias Graß Maciej Lewenstein Alejandro Bermudez Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets New Journal of Physics quantum magnetism trapped ions quantum simulation |
| title | Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets |
| title_full | Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets |
| title_fullStr | Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets |
| title_full_unstemmed | Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets |
| title_short | Dual trapped-ion quantum simulators: an alternative route towards exotic quantum magnets |
| title_sort | dual trapped ion quantum simulators an alternative route towards exotic quantum magnets |
| topic | quantum magnetism trapped ions quantum simulation |
| url | https://doi.org/10.1088/1367-2630/18/3/033011 |
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