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arXiv · 2003.04906

Multidimensional super- and subradiance in waveguide quantum electrodynamics

Fatih Dinc·Lauren E. Hayward·Agata M. Brańczyk
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Abstract

We study the collective decay rates of multi-dimensional quantum networks in which one-dimensional waveguides form an intersecting hyper-rectangular lattice, with qubits located at the lattice points. We introduce and motivate the \emph{dimensional reduction of poles} (DRoP) conjecture, which identifies all collective decay rates of such networks via a connection to waveguides with a one-dimensional topology (e.g. a linear chain of qubits). Using DRoP, we consider many-body effects such as superradiance, subradiance, and bound-states in continuum in multi-dimensional quantum networks. We find that, unlike one-dimensional linear chains, multi-dimensional quantum networks have superradiance in distinct levels, which we call multi-dimensional superradiance. Furthermore, we generalize the $N^{-3}$ scaling of subradiance in a linear chain to $d$-dimensional networks.

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Fatih Dinc, Lauren E. Hayward, Agata M. Brańczyk. 2020-03-10. Multidimensional super- and subradiance in waveguide quantum electrodynamics. https://doi.org/10.1103/physrevresearch.2.043149

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