Effective spin physics in two-dimensional cavity QED arrays
We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis–Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersiv...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2017-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/aa753c |
| _version_ | 1827873360830267392 |
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| author | Jiří Minář Şebnem Güneş Söyler Pietro Rotondo Igor Lesanovsky |
| author_facet | Jiří Minář Şebnem Güneş Söyler Pietro Rotondo Igor Lesanovsky |
| author_sort | Jiří Minář |
| collection | DOAJ |
| description | We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis–Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya’s enumeration theorem. |
| first_indexed | 2024-03-12T16:35:55Z |
| format | Article |
| id | doaj.art-d503773cc7464b488545578d9fe05d45 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:35:55Z |
| publishDate | 2017-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-d503773cc7464b488545578d9fe05d452023-08-08T14:54:20ZengIOP PublishingNew Journal of Physics1367-26302017-01-0119606303310.1088/1367-2630/aa753cEffective spin physics in two-dimensional cavity QED arraysJiří Minář0Şebnem Güneş Söyler1Pietro Rotondo2Igor Lesanovsky3School of Physics and Astronomy, The University of Nottingham , Nottingham, NG7 2RD, United Kingdom; Centre for the Theoretical Physics and Mathematics of Quantum Non-equilibrium Systems, The University of Nottingham , Nottingham, NG7 2RD, United KingdomSchool of Physics and Astronomy, The University of Nottingham , Nottingham, NG7 2RD, United Kingdom; Centre for the Theoretical Physics and Mathematics of Quantum Non-equilibrium Systems, The University of Nottingham , Nottingham, NG7 2RD, United KingdomSchool of Physics and Astronomy, The University of Nottingham , Nottingham, NG7 2RD, United Kingdom; Centre for the Theoretical Physics and Mathematics of Quantum Non-equilibrium Systems, The University of Nottingham , Nottingham, NG7 2RD, United KingdomSchool of Physics and Astronomy, The University of Nottingham , Nottingham, NG7 2RD, United Kingdom; Centre for the Theoretical Physics and Mathematics of Quantum Non-equilibrium Systems, The University of Nottingham , Nottingham, NG7 2RD, United KingdomWe investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis–Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya’s enumeration theorem.https://doi.org/10.1088/1367-2630/aa753ccavity arraysground states of spin systemsfrustrated spin modelsquantum Monte CarloDickeJaynes–Cummings |
| spellingShingle | Jiří Minář Şebnem Güneş Söyler Pietro Rotondo Igor Lesanovsky Effective spin physics in two-dimensional cavity QED arrays New Journal of Physics cavity arrays ground states of spin systems frustrated spin models quantum Monte Carlo Dicke Jaynes–Cummings |
| title | Effective spin physics in two-dimensional cavity QED arrays |
| title_full | Effective spin physics in two-dimensional cavity QED arrays |
| title_fullStr | Effective spin physics in two-dimensional cavity QED arrays |
| title_full_unstemmed | Effective spin physics in two-dimensional cavity QED arrays |
| title_short | Effective spin physics in two-dimensional cavity QED arrays |
| title_sort | effective spin physics in two dimensional cavity qed arrays |
| topic | cavity arrays ground states of spin systems frustrated spin models quantum Monte Carlo Dicke Jaynes–Cummings |
| url | https://doi.org/10.1088/1367-2630/aa753c |
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