Cavity-induced bifurcation in classical rate theory
We show how coupling an ensemble of bistable systems to a common cavity field affects the collective stochastic behavior of this ensemble. In particular, the cavity provides an effective interaction between the systems, and parametrically modifies the transition rates between the metastable states....
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| Format: | Article |
| Language: | English |
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SciPost
2024-01-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.16.1.025 |
| _version_ | 1797348239348858880 |
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| author | Kalle Sulo Ukko Kansanen, Tero Tapio Heikkilä |
| author_facet | Kalle Sulo Ukko Kansanen, Tero Tapio Heikkilä |
| author_sort | Kalle Sulo Ukko Kansanen, Tero Tapio Heikkilä |
| collection | DOAJ |
| description | We show how coupling an ensemble of bistable systems to a common cavity field affects the collective stochastic behavior of this ensemble. In particular, the cavity provides an effective interaction between the systems, and parametrically modifies the transition rates between the metastable states. We predict that the cavity induces a phase transition at a critical temperature which depends linearly on the number of systems. It shows up as a spontaneous symmetry breaking where the stationary states of the bistable system bifurcate. We observe that the transition rates slow down independently of the phase transition, but the rate modification vanishes for alternating signs of the system-cavity couplings, corresponding to a disordered ensemble of dipoles. Our results are of particular relevance in polaritonic chemistry where the presence of a cavity has been suggested to affect chemical reactions. |
| first_indexed | 2024-03-08T12:02:57Z |
| format | Article |
| id | doaj.art-b6ea8cc66f414fc589cc70407b34bc03 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-08T12:02:57Z |
| publishDate | 2024-01-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-b6ea8cc66f414fc589cc70407b34bc032024-01-23T16:00:44ZengSciPostSciPost Physics2542-46532024-01-0116102510.21468/SciPostPhys.16.1.025Cavity-induced bifurcation in classical rate theoryKalle Sulo Ukko Kansanen, Tero Tapio HeikkiläWe show how coupling an ensemble of bistable systems to a common cavity field affects the collective stochastic behavior of this ensemble. In particular, the cavity provides an effective interaction between the systems, and parametrically modifies the transition rates between the metastable states. We predict that the cavity induces a phase transition at a critical temperature which depends linearly on the number of systems. It shows up as a spontaneous symmetry breaking where the stationary states of the bistable system bifurcate. We observe that the transition rates slow down independently of the phase transition, but the rate modification vanishes for alternating signs of the system-cavity couplings, corresponding to a disordered ensemble of dipoles. Our results are of particular relevance in polaritonic chemistry where the presence of a cavity has been suggested to affect chemical reactions.https://scipost.org/SciPostPhys.16.1.025 |
| spellingShingle | Kalle Sulo Ukko Kansanen, Tero Tapio Heikkilä Cavity-induced bifurcation in classical rate theory SciPost Physics |
| title | Cavity-induced bifurcation in classical rate theory |
| title_full | Cavity-induced bifurcation in classical rate theory |
| title_fullStr | Cavity-induced bifurcation in classical rate theory |
| title_full_unstemmed | Cavity-induced bifurcation in classical rate theory |
| title_short | Cavity-induced bifurcation in classical rate theory |
| title_sort | cavity induced bifurcation in classical rate theory |
| url | https://scipost.org/SciPostPhys.16.1.025 |
| work_keys_str_mv | AT kallesuloukkokansanenterotapioheikkila cavityinducedbifurcationinclassicalratetheory |