Superradiant Peak Emission Rate and Time in Quantum Emitter Arrays
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917076411613184 |
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| author | Holzinger, Raphael Yelin, Susanne F. |
| author_facet | Holzinger, Raphael Yelin, Susanne F. |
| contents | Determining the peak photon emission time and rate for an ensemble of $N$ quantum systems undergoing collective superradiant decay typically requires tracking the time evolution of the density operator. Generally, the dimension of the density operator grows exponentially ($\sim \! 2^N$) with the number of emitters, in the absence of any symmetries such as in Dicke superradiance with full or partial permutational symmetry. We present a detailed study of the superradiant peak emission rate and time for initially fully excited quantum emitter ensembles, for one-, two- and three-dimensional arrays in free-space and emitter chains coupled to waveguide reservoirs. For few emitters ($N\lesssim 14$) we utilize the full quantum master equation, and for mesoscopic emitter numbers ($N\lesssim 400$) we use a second- and third-order cumulant expansion of the operator averages to track the time evolution of the system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09985 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Superradiant Peak Emission Rate and Time in Quantum Emitter Arrays Holzinger, Raphael Yelin, Susanne F. Quantum Physics Quantum Gases Atomic Physics Determining the peak photon emission time and rate for an ensemble of $N$ quantum systems undergoing collective superradiant decay typically requires tracking the time evolution of the density operator. Generally, the dimension of the density operator grows exponentially ($\sim \! 2^N$) with the number of emitters, in the absence of any symmetries such as in Dicke superradiance with full or partial permutational symmetry. We present a detailed study of the superradiant peak emission rate and time for initially fully excited quantum emitter ensembles, for one-, two- and three-dimensional arrays in free-space and emitter chains coupled to waveguide reservoirs. For few emitters ($N\lesssim 14$) we utilize the full quantum master equation, and for mesoscopic emitter numbers ($N\lesssim 400$) we use a second- and third-order cumulant expansion of the operator averages to track the time evolution of the system. |
| title | Superradiant Peak Emission Rate and Time in Quantum Emitter Arrays |
| topic | Quantum Physics Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2504.09985 |