Localization to delocalization crossover in a driven nonlinear cavity array
We study nonlinear cavity arrays where the particle relaxation rate in each cavity increases with the excitation number. We show that coherent parametric inputs can drive such arrays into states with commensurate filling that form non-equilibrium analogs of Mott insulating states. We explore the bou...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aac058 |
| _version_ | 1797750682321682432 |
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| author | Oliver T Brown Michael J Hartmann |
| author_facet | Oliver T Brown Michael J Hartmann |
| author_sort | Oliver T Brown |
| collection | DOAJ |
| description | We study nonlinear cavity arrays where the particle relaxation rate in each cavity increases with the excitation number. We show that coherent parametric inputs can drive such arrays into states with commensurate filling that form non-equilibrium analogs of Mott insulating states. We explore the boundaries of the Mott insulating phase and the crossover to a delocalized phase with spontaneous first order coherence. While sharing many similarities with the Mott insulator to superfluid transition in equilibrium, the phase diagrams we find also show marked differences. Particularly the off diagonal order does not become long range since the influence of dephasing processes increases with increasing tunneling rates. |
| first_indexed | 2024-03-12T16:36:21Z |
| format | Article |
| id | doaj.art-564d6f58c68546cf99d41133550a813e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:21Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-564d6f58c68546cf99d41133550a813e2023-08-08T14:50:53ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120505500410.1088/1367-2630/aac058Localization to delocalization crossover in a driven nonlinear cavity arrayOliver T Brown0Michael J Hartmann1https://orcid.org/0000-0002-8207-3806SUPA, Institute of Photonics and Quantum Physics, Heriot-Watt University , Edinburgh EH14 4AS, United KingdomSUPA, Institute of Photonics and Quantum Physics, Heriot-Watt University , Edinburgh EH14 4AS, United KingdomWe study nonlinear cavity arrays where the particle relaxation rate in each cavity increases with the excitation number. We show that coherent parametric inputs can drive such arrays into states with commensurate filling that form non-equilibrium analogs of Mott insulating states. We explore the boundaries of the Mott insulating phase and the crossover to a delocalized phase with spontaneous first order coherence. While sharing many similarities with the Mott insulator to superfluid transition in equilibrium, the phase diagrams we find also show marked differences. Particularly the off diagonal order does not become long range since the influence of dephasing processes increases with increasing tunneling rates.https://doi.org/10.1088/1367-2630/aac058strongly interacting photonsdriven dissipative systemsquantum many-body dynamicsMott insulator |
| spellingShingle | Oliver T Brown Michael J Hartmann Localization to delocalization crossover in a driven nonlinear cavity array New Journal of Physics strongly interacting photons driven dissipative systems quantum many-body dynamics Mott insulator |
| title | Localization to delocalization crossover in a driven nonlinear cavity array |
| title_full | Localization to delocalization crossover in a driven nonlinear cavity array |
| title_fullStr | Localization to delocalization crossover in a driven nonlinear cavity array |
| title_full_unstemmed | Localization to delocalization crossover in a driven nonlinear cavity array |
| title_short | Localization to delocalization crossover in a driven nonlinear cavity array |
| title_sort | localization to delocalization crossover in a driven nonlinear cavity array |
| topic | strongly interacting photons driven dissipative systems quantum many-body dynamics Mott insulator |
| url | https://doi.org/10.1088/1367-2630/aac058 |
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