Dicke superradiance requires interactions beyond nearest-neighbors
- URL: http://arxiv.org/abs/2211.00668v3
- Date: Sun, 25 Jun 2023 21:37:09 GMT
- Title: Dicke superradiance requires interactions beyond nearest-neighbors
- Authors: Wai-Keong Mok, Ana Asenjo-Garcia, Tze Chien Sum, Leong-Chuan Kwek
- Abstract summary: Superradiant burst is most commonly observed in systems with long-range interactions between the emitters.
We show that Dicke superradiance requires minimally the inclusion of next-nearest-neighbor interactions.
Our findings provide key physical insights to the understanding of collective decay in many-body quantum systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Photon-mediated interactions within an excited ensemble of emitters can
result in Dicke superradiance, where the emission rate is greatly enhanced,
manifesting as a high-intensity burst at short times. The superradiant burst is
most commonly observed in systems with long-range interactions between the
emitters, although the minimal interaction range remains unknown. Here, we put
forward a new theoretical method to bound the maximum emission rate by upper
bounding the spectral radius of an auxiliary Hamiltonian. We harness this tool
to prove that for an arbitrary ordered array with only nearest-neighbor
interactions in all dimensions, a superradiant burst is not physically
observable. We show that Dicke superradiance requires minimally the inclusion
of next-nearest-neighbor interactions. For exponentially decaying interactions,
the critical coupling is found to be asymptotically independent of the number
of emitters in all dimensions, thereby defining the threshold interaction range
where the collective enhancement balances out the decoherence effects. Our
findings provide key physical insights to the understanding of collective decay
in many-body quantum systems, and the designing of superradiant emission in
physical systems for applications such as energy harvesting and quantum
sensing.
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