Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays
We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field model allows four different types of dynamics at late times:...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.013144 |
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| author | Victoria Zhang Stefan Ostermann Oriol Rubies-Bigorda Susanne F. Yelin |
| author_facet | Victoria Zhang Stefan Ostermann Oriol Rubies-Bigorda Susanne F. Yelin |
| author_sort | Victoria Zhang |
| collection | DOAJ |
| description | We analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field model allows four different types of dynamics at late times: a single monostable steady state solution, bistability (where two stable steady state solutions exist), limit cycles and chaotic dynamics. We provide conditions on the parameters required to realize the different solutions in the thermodynamic limit. In this limit, only the monostable or bistable regime can be accessed for the parameter values accessible via light-induced dipole-dipole interactions. For finite size periodic arrays, however, we find that the mean-field dynamics of the many-body system also exhibit limit cycles and chaotic behavior. Notably, the emergence of chaotic dynamics does not rely on the randomness of an external control parameter but arises solely due to the interplay of coherent drive and dissipation. |
| format | Article |
| id | doaj-art-c60d95d6ed514c2a9e9954ba5f831b9e |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-c60d95d6ed514c2a9e9954ba5f831b9e2025-02-10T16:39:16ZengAmerican Physical SocietyPhysical Review Research2643-15642025-02-017101314410.1103/PhysRevResearch.7.013144Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arraysVictoria ZhangStefan OstermannOriol Rubies-BigordaSusanne F. YelinWe analyze the driven-dissipative dynamics of subwavelength periodic atomic arrays in free space, where atoms interact via light-induced dipole-dipole interactions. We find that depending on the system parameters, the underlying mean-field model allows four different types of dynamics at late times: a single monostable steady state solution, bistability (where two stable steady state solutions exist), limit cycles and chaotic dynamics. We provide conditions on the parameters required to realize the different solutions in the thermodynamic limit. In this limit, only the monostable or bistable regime can be accessed for the parameter values accessible via light-induced dipole-dipole interactions. For finite size periodic arrays, however, we find that the mean-field dynamics of the many-body system also exhibit limit cycles and chaotic behavior. Notably, the emergence of chaotic dynamics does not rely on the randomness of an external control parameter but arises solely due to the interplay of coherent drive and dissipation.http://doi.org/10.1103/PhysRevResearch.7.013144 |
| spellingShingle | Victoria Zhang Stefan Ostermann Oriol Rubies-Bigorda Susanne F. Yelin Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays Physical Review Research |
| title | Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays |
| title_full | Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays |
| title_fullStr | Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays |
| title_full_unstemmed | Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays |
| title_short | Emergent limit cycles, chaos, and bistability in driven-dissipative atomic arrays |
| title_sort | emergent limit cycles chaos and bistability in driven dissipative atomic arrays |
| url | http://doi.org/10.1103/PhysRevResearch.7.013144 |
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