Linked cluster expansions for open quantum systems on a lattice
We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property onto small connected clusters of a given size and topology....
| Main Authors: | , , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/114399 |
| _version_ | 1826203514767933440 |
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| author | Biella, Alberto Jin, Jiasen Ciuti, Cristiano Fazio, Rosario Rossini, Davide Viyuela Garcia, Oscar |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Biella, Alberto Jin, Jiasen Ciuti, Cristiano Fazio, Rosario Rossini, Davide Viyuela Garcia, Oscar |
| author_sort | Biella, Alberto |
| collection | MIT |
| description | We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property onto small connected clusters of a given size and topology. We first test this approach on the isotropic spin-1/2 Hamiltonian in two dimensions, where each spin is coupled to an independent environment that induces incoherent spin flips. Then we apply it to the study of an anisotropic model displaying a dissipative phase transition from a magnetically ordered to a disordered phase. By means of a Padé analysis on the series expansions for the average magnetization, we provide a viable route to locate the phase transition and to extrapolate the critical exponent for the magnetic susceptibility. |
| first_indexed | 2024-09-23T12:38:33Z |
| format | Article |
| id | mit-1721.1/114399 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T12:38:33Z |
| publishDate | 2018 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1143992022-09-28T09:10:22Z Linked cluster expansions for open quantum systems on a lattice Biella, Alberto Jin, Jiasen Ciuti, Cristiano Fazio, Rosario Rossini, Davide Viyuela Garcia, Oscar Massachusetts Institute of Technology. Department of Physics Viyuela Garcia, Oscar We propose a generalization of the linked-cluster expansions to study driven-dissipative quantum lattice models, directly accessing the thermodynamic limit of the system. Our method leads to the evaluation of the desired extensive property onto small connected clusters of a given size and topology. We first test this approach on the isotropic spin-1/2 Hamiltonian in two dimensions, where each spin is coupled to an independent environment that induces incoherent spin flips. Then we apply it to the study of an anisotropic model displaying a dissipative phase transition from a magnetically ordered to a disordered phase. By means of a Padé analysis on the series expansions for the average magnetization, we provide a viable route to locate the phase transition and to extrapolate the critical exponent for the magnetic susceptibility. 2018-03-27T17:03:58Z 2018-03-27T17:03:58Z 2018-01 2017-12 2018-02-07T20:55:38Z Article http://purl.org/eprint/type/JournalArticle 2469-9950 2469-9969 http://hdl.handle.net/1721.1/114399 Biella, Alberto et al. "Linked cluster expansions for open quantum systems on a lattice." Physical Review B 97, 3 (January 2018): 035103 © 2018 American Physical Society en http://dx.doi.org/10.1103/PhysRevB.97.035103 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Biella, Alberto Jin, Jiasen Ciuti, Cristiano Fazio, Rosario Rossini, Davide Viyuela Garcia, Oscar Linked cluster expansions for open quantum systems on a lattice |
| title | Linked cluster expansions for open quantum systems on a lattice |
| title_full | Linked cluster expansions for open quantum systems on a lattice |
| title_fullStr | Linked cluster expansions for open quantum systems on a lattice |
| title_full_unstemmed | Linked cluster expansions for open quantum systems on a lattice |
| title_short | Linked cluster expansions for open quantum systems on a lattice |
| title_sort | linked cluster expansions for open quantum systems on a lattice |
| url | http://hdl.handle.net/1721.1/114399 |
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