Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study
We use a quantum Monte Carlo method to investigate various classes of two-dimensional spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U (1) symmetry that appears as a hard-core boson limit of an extended Hubbard model describing polarize...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2012-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/14/11/113006 |
| _version_ | 1797751641958514688 |
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| author | Michał Maik Philipp Hauke Omjyoti Dutta Jakub Zakrzewski Maciej Lewenstein |
| author_facet | Michał Maik Philipp Hauke Omjyoti Dutta Jakub Zakrzewski Maciej Lewenstein |
| author_sort | Michał Maik |
| collection | DOAJ |
| description | We use a quantum Monte Carlo method to investigate various classes of two-dimensional spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U (1) symmetry that appears as a hard-core boson limit of an extended Hubbard model describing polarized dipolar atoms or molecules in an optical lattice. Tunneling, in such a model, is short-range, whereas density–density couplings decay with distance following a cubic power law. We also investigate an XXZ model with long-range couplings of all three spin components—such a model describes a system of ultracold ions in a lattice of microtraps. We describe an approximate phase diagram for such systems at zero and at finite temperature, and compare their properties. In particular, we compare the extent of crystalline, superfluid and supersolid phases. Our predictions apply directly to current experiments with mesoscopic numbers of polar molecules and trapped ions. |
| first_indexed | 2024-03-12T16:51:31Z |
| format | Article |
| id | doaj.art-4571fe9928fe4d7eafdf70f4d016683b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:51:31Z |
| publishDate | 2012-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-4571fe9928fe4d7eafdf70f4d016683b2023-08-08T11:08:07ZengIOP PublishingNew Journal of Physics1367-26302012-01-01141111300610.1088/1367-2630/14/11/113006Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo studyMichał Maik0Philipp Hauke1Omjyoti Dutta2Jakub Zakrzewski3Maciej Lewenstein4Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński , ulica Reymonta 4, PL-30-059 Kraków, Poland; ICFO—Institut de Ciències Fotòniques , Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), SpainICFO—Institut de Ciències Fotòniques , Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), SpainICFO—Institut de Ciències Fotòniques , Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), SpainInstytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński , ulica Reymonta 4, PL-30-059 Kraków, Poland; Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński , Kraków, PolandICFO—Institut de Ciències Fotòniques , Mediterranean Technology Park, E-08860 Castelldefels (Barcelona), Spain; ICREA—Institució Catalana de Recerca i Estudis Avançats , E-08010 Barcelona, SpainWe use a quantum Monte Carlo method to investigate various classes of two-dimensional spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U (1) symmetry that appears as a hard-core boson limit of an extended Hubbard model describing polarized dipolar atoms or molecules in an optical lattice. Tunneling, in such a model, is short-range, whereas density–density couplings decay with distance following a cubic power law. We also investigate an XXZ model with long-range couplings of all three spin components—such a model describes a system of ultracold ions in a lattice of microtraps. We describe an approximate phase diagram for such systems at zero and at finite temperature, and compare their properties. In particular, we compare the extent of crystalline, superfluid and supersolid phases. Our predictions apply directly to current experiments with mesoscopic numbers of polar molecules and trapped ions.https://doi.org/10.1088/1367-2630/14/11/113006 |
| spellingShingle | Michał Maik Philipp Hauke Omjyoti Dutta Jakub Zakrzewski Maciej Lewenstein Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study New Journal of Physics |
| title | Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study |
| title_full | Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study |
| title_fullStr | Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study |
| title_full_unstemmed | Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study |
| title_short | Quantum spin models with long-range interactions and tunnelings: a quantum Monte Carlo study |
| title_sort | quantum spin models with long range interactions and tunnelings a quantum monte carlo study |
| url | https://doi.org/10.1088/1367-2630/14/11/113006 |
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