Multidimensional super- and subradiance in waveguide quantum electrodynamics

• Published in: arXiv.org
• Main Authors: Dinc, Fatih, Hayward, Lauren E, Brańczyk, Agata M
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 14.11.2020
• Subjects: Chains; Decay rate; Networks; Physics - Quantum Physics; Quantum electrodynamics; Qubits (quantum computing); Topology; Waveguides
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2003.04906

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.