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...
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| Format: | Article |
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IOP Publishing
2017
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| Online Access: | https://eprints.nottingham.ac.uk/44615/ |
| _version_ | 1848796958180769792 |
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| author | Minář, Jiří Söyler, Şebnem Güneş Rotondo, Pietro Lesanovsky, Igor |
| author_facet | Minář, Jiří Söyler, Şebnem Güneş Rotondo, Pietro Lesanovsky, Igor |
| author_sort | Minář, Jiří |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| 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 | 2025-11-14T19:56:15Z |
| format | Article |
| id | nottingham-44615 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:56:15Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-446152020-05-04T18:53:51Z https://eprints.nottingham.ac.uk/44615/ Effective spin physics in two-dimensional cavity QED arrays Minář, Jiří Söyler, Şebnem Güneş Rotondo, Pietro Lesanovsky, Igor 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. IOP Publishing 2017-07-03 Article PeerReviewed Minář, Jiří, Söyler, Şebnem Güneş, Rotondo, Pietro and Lesanovsky, Igor (2017) Effective spin physics in two-dimensional cavity QED arrays. New Journal of Physics, 19 . pp. 1-18. ISSN 1367-2630 cavity arrays ground states of spin systems frustrated spin models quantum Monte Carlo Dicke Jaynes–Cummings Tavis–Cummings models http://iopscience.iop.org/article/10.1088/1367-2630/aa753c/meta doi:10.1088/1367-2630/aa753c doi:10.1088/1367-2630/aa753c |
| spellingShingle | cavity arrays ground states of spin systems frustrated spin models quantum Monte Carlo Dicke Jaynes–Cummings Tavis–Cummings models Minář, Jiří Söyler, Şebnem Güneş Rotondo, Pietro Lesanovsky, Igor Effective spin physics in two-dimensional cavity QED arrays |
| 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 Tavis–Cummings models |
| url | https://eprints.nottingham.ac.uk/44615/ https://eprints.nottingham.ac.uk/44615/ https://eprints.nottingham.ac.uk/44615/ |