Multidimensional super- and subradiance in waveguide quantum electrodynamics

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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Cited by in corpus (5)

• Subradiant emission from regular atomic arrays: universal scaling of decay rates from the generalized Bloch theorem
• Bound photonic pairs in 2D waveguide quantum electrodynamics
• Two-dimensional chiral waveguide quantum electrodynamics: long range qubit correlations and flat-band dark polaritons
• Excitation transfer and many-body dark states in waveguide quantum electrodynamics
• Photon routing in disordered chiral waveguide QED ladders: Interplay between photonic localization and collective atomic effects