Prethermalization from a low-density Holstein-Primakoff expansion
We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped onto a fully-connected model of hard-core bosons, after a su...
| Main Authors: | , , , |
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| Format: | Article |
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American Physical Society
2016
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| Online Access: | https://eprints.nottingham.ac.uk/42060/ |
| _version_ | 1848796408661934080 |
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| author | Marcuzzi, Matteo Marino, Jamir Gambassi, Andrea Silva, Alessandro |
| author_facet | Marcuzzi, Matteo Marino, Jamir Gambassi, Andrea Silva, Alessandro |
| author_sort | Marcuzzi, Matteo |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped onto a fully-connected model of hard-core bosons, after a suitable combination of a Holstein-Primakoff transformation and of a low-density expansion in the quasi-particles injected by the quench. This mapping holds for a broad class of initial states and for quenches which do not cross the critical point of the transverse field Ising model. We then study the algebraic relaxation in time of a number of observables towards a metastable, pre-thermal state, which becomes the asymptotic steady state in the thermodynamic limit. |
| first_indexed | 2025-11-14T19:47:31Z |
| format | Article |
| id | nottingham-42060 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:31Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-420602020-05-04T18:25:24Z https://eprints.nottingham.ac.uk/42060/ Prethermalization from a low-density Holstein-Primakoff expansion Marcuzzi, Matteo Marino, Jamir Gambassi, Andrea Silva, Alessandro We consider the non-equilibrium dynamics arising after a quench of the transverse magnetic field of a quantum Ising chain, together with the sudden switch-on of a long-range interaction term. The dynamics after the quantum quench is mapped onto a fully-connected model of hard-core bosons, after a suitable combination of a Holstein-Primakoff transformation and of a low-density expansion in the quasi-particles injected by the quench. This mapping holds for a broad class of initial states and for quenches which do not cross the critical point of the transverse field Ising model. We then study the algebraic relaxation in time of a number of observables towards a metastable, pre-thermal state, which becomes the asymptotic steady state in the thermodynamic limit. American Physical Society 2016-12-16 Article PeerReviewed Marcuzzi, Matteo, Marino, Jamir, Gambassi, Andrea and Silva, Alessandro (2016) Prethermalization from a low-density Holstein-Primakoff expansion. Physical Review B, 94 . 214304/1-214304/15. ISSN 2469-9969 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.94.214304 doi:10.1103/PhysRevB.94.214304 doi:10.1103/PhysRevB.94.214304 |
| spellingShingle | Marcuzzi, Matteo Marino, Jamir Gambassi, Andrea Silva, Alessandro Prethermalization from a low-density Holstein-Primakoff expansion |
| title | Prethermalization from a low-density Holstein-Primakoff expansion |
| title_full | Prethermalization from a low-density Holstein-Primakoff expansion |
| title_fullStr | Prethermalization from a low-density Holstein-Primakoff expansion |
| title_full_unstemmed | Prethermalization from a low-density Holstein-Primakoff expansion |
| title_short | Prethermalization from a low-density Holstein-Primakoff expansion |
| title_sort | prethermalization from a low-density holstein-primakoff expansion |
| url | https://eprints.nottingham.ac.uk/42060/ https://eprints.nottingham.ac.uk/42060/ https://eprints.nottingham.ac.uk/42060/ |