Heating-Induced Long-Range η Pairing in the Hubbard Model
We show how, upon heating the spin degrees of freedom of the Hubbard model to infinite temperature, the symmetries of the system allow the creation of steady states with long-range correlations between η pairs. We induce this heating with either dissipation or periodic driving and evolve the system...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2019
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| _version_ | 1826306656116408320 |
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| author | Tindall, J Buča, B Coulthard, JR Jaksch, D |
| author_facet | Tindall, J Buča, B Coulthard, JR Jaksch, D |
| author_sort | Tindall, J |
| collection | OXFORD |
| description | We show how, upon heating the spin degrees of freedom of the Hubbard model to infinite temperature, the symmetries of the system allow the creation of steady states with long-range correlations between η pairs. We induce this heating with either dissipation or periodic driving and evolve the system towards a nonequilibrium steady state, a process which melts all spin order in the system. The steady state is identical in both cases and displays distance-invariant off-diagonal η correlations. These correlations were first recognized in the superconducting eigenstates described in Yang’s seminal Letter [Phys. Rev. Lett. 63, 2144 (1989)], which are a subset of our steady states. We show that our results are a consequence of symmetry properties and entirely independent of the microscopic details of the model and the heating mechanism. |
| first_indexed | 2024-03-07T06:51:16Z |
| format | Journal article |
| id | oxford-uuid:fca281dc-9ae9-47ed-9dae-c74b2663b613 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:51:16Z |
| publishDate | 2019 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:fca281dc-9ae9-47ed-9dae-c74b2663b6132022-03-27T13:22:23ZHeating-Induced Long-Range η Pairing in the Hubbard ModelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:fca281dc-9ae9-47ed-9dae-c74b2663b613EnglishSymplectic Elements at OxfordAmerican Physical Society2019Tindall, JBuča, BCoulthard, JRJaksch, DWe show how, upon heating the spin degrees of freedom of the Hubbard model to infinite temperature, the symmetries of the system allow the creation of steady states with long-range correlations between η pairs. We induce this heating with either dissipation or periodic driving and evolve the system towards a nonequilibrium steady state, a process which melts all spin order in the system. The steady state is identical in both cases and displays distance-invariant off-diagonal η correlations. These correlations were first recognized in the superconducting eigenstates described in Yang’s seminal Letter [Phys. Rev. Lett. 63, 2144 (1989)], which are a subset of our steady states. We show that our results are a consequence of symmetry properties and entirely independent of the microscopic details of the model and the heating mechanism. |
| spellingShingle | Tindall, J Buča, B Coulthard, JR Jaksch, D Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title | Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title_full | Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title_fullStr | Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title_full_unstemmed | Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title_short | Heating-Induced Long-Range η Pairing in the Hubbard Model |
| title_sort | heating induced long range η pairing in the hubbard model |
| work_keys_str_mv | AT tindallj heatinginducedlongrangeēpairinginthehubbardmodel AT bucab heatinginducedlongrangeēpairinginthehubbardmodel AT coulthardjr heatinginducedlongrangeēpairinginthehubbardmodel AT jakschd heatinginducedlongrangeēpairinginthehubbardmodel |