Scaling of Superradiant Peak Emission in Spatially Extended Emitter Arrays
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915643664629760 |
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| author | Holzinger, Raphael Yelin, Susanne F. |
| author_facet | Holzinger, Raphael Yelin, Susanne F. |
| contents | In quantum optics, superradiance is a phenomenon in which a system of $N$ fully excited quantum emitters radiate intense flashes of light during collective decay. However, computing its peak intensity exactly for many spatially separated emitters remains challenging due to the exponential growth of the underlying Hilbert space with system size $N$. Based on third-order cumulant expansion methods, we present general scaling laws for the expononent of the peak emission rate as a function of the emitter number in free-space emitter arrays and arrays coupled to one-dimensional waveguide reservoirs. We find, that for 1D chains in free-space the peak emission rate scales linearly with $N$, while for 2D and 3D arrays with finite emitter spacing it scales superlinearly but sub-quadratically. For emitter chains coupled to waveguide reservoirs we find that the peak emission rate scales quadratically with $N$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_12649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scaling of Superradiant Peak Emission in Spatially Extended Emitter Arrays Holzinger, Raphael Yelin, Susanne F. Quantum Physics Strongly Correlated Electrons Atomic Physics In quantum optics, superradiance is a phenomenon in which a system of $N$ fully excited quantum emitters radiate intense flashes of light during collective decay. However, computing its peak intensity exactly for many spatially separated emitters remains challenging due to the exponential growth of the underlying Hilbert space with system size $N$. Based on third-order cumulant expansion methods, we present general scaling laws for the expononent of the peak emission rate as a function of the emitter number in free-space emitter arrays and arrays coupled to one-dimensional waveguide reservoirs. We find, that for 1D chains in free-space the peak emission rate scales linearly with $N$, while for 2D and 3D arrays with finite emitter spacing it scales superlinearly but sub-quadratically. For emitter chains coupled to waveguide reservoirs we find that the peak emission rate scales quadratically with $N$. |
| title | Scaling of Superradiant Peak Emission in Spatially Extended Emitter Arrays |
| topic | Quantum Physics Strongly Correlated Electrons Atomic Physics |
| url | https://arxiv.org/abs/2506.12649 |