Optimal storage time for $N$ qubits coupled to a one-dimensional waveguide

Abstract

Symmetry-protected subradiance is known to guarantee high qubit storage times in free space. We show that in one-dimensional waveguides, this is also true, but that even longer qubit storage times can be identified by considering the eigenspectrum of the qubit-qubit coupling matrix. In the process, we introduce three theorems about $N$ qubits coupled to a one-dimensional waveguide: i) the coupling matrix, which is otherwise non-singular over a continuum of qubit separation values, contains point-singularities; ii) the collective decay rates have symmetric properties, and iii) a linear chain of qubits coupled to a one-dimensional waveguide exhibits symmetry-protected subradiance. Our results will be beneficial for designing memory applications for future quantum technologies.

arXiv comment9 pages, 1 figure

References in corpus (23)

• The Quantum Internet
• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• Strongly interacting photons in one-dimensional continuum
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Photonic Quantum Circuits with Time Delays
• Single Photon Subradiance: Quantum control of spontaneous emission and ultrafast readout
• Photonic tensor networks produced by a single quantum emitter
• Theory of Subradiant States of a One-Dimensional Two-Level Atom Chain
• Exciting a Bound State in the Continuum through Multi-Photon Scattering plus Delayed Quantum Feedback
• Subradiant states of quantum bits coupled to a one-dimensional waveguide
• Time-delayed quantum feedback control
• Dynamics of spontaneous emission in a single-end photonic waveguide
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Bound states and entanglement generation in waveguide quantum electrodynamics
• Extremely subradiant states in a periodic one-dimensional atomic array
• Arrays of strongly-coupled atoms in a one-dimensional waveguide
• Photon transport mediated by an atomic chain trapped along a photonic crystal waveguide
• Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance
• Pronounced non-Markovian features in multiply-excited, multiple-emitter waveguide-QED: Retardation-induced anomalous population trappin
• Bound states in the continuum for an array of quantum emitters
• Photon Scattering from a System of Multi-Level Quantum Emitters. II. Application to Emitters Coupled to a 1D Waveguide
• Symmetry protected single photon subradiance
• Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics