Multidimensional super- and subradiance in waveguide quantum electrodynamics

• URL: http://arxiv.org/abs/2003.04906v2
• Date: Sat, 14 Nov 2020 18:20:22 GMT
• Title: Multidimensional super- and subradiance in waveguide quantum electrodynamics
• Authors: Fatih Dinc, Lauren E. Hayward, Agata M. Bra\'nczyk
• Abstract summary: 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 find that unlike one-dimensional linear chains, multi-dimensional quantum networks have superradiance in distinct levels, which we call multi-dimensional superradiance.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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