Bound states in the continuum for an array of quantum emitters

Abstract

We study the existence of bound states in the continuum for a system of n two-level quantum emitters, coupled with a one-dimensional boson field, in which a single excitation is shared among different components of the system. The emitters are fixed and equally spaced. We first consider the approximation of distant emitters, in which one can find degenerate eigenspaces of bound states corresponding to resonant values of energy, parametrized by a positive integer. We then consider the full form of the eigenvalue equation, in which the effects of the finite spacing and the field dispersion relation become relevant, yielding also nonperturbative effects. We explicitly solve the cases n=3 and n=4.

arXiv comment16 pages, 12 figures

References in corpus (50)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Probing many-body dynamics on a 51-atom quantum simulator
• Chiral Quantum Optics
• Interfacing single photons and single quantum dots with photonic nanostructures
• Microwave photonics with superconducting quantum circuits
• Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
• Resonance Fluorescence of a Single Artificial Atom
• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Superradiance for atoms trapped along a photonic crystal waveguide
• Photon-mediated interactions between distant artificial atoms
• Quantum many-body models with cold atoms coupled to photonic crystals
• Efficient all-optical switching using slow light within a hollow fiber
• Strongly interacting photons in one-dimensional continuum
• Bright single-photon sources in bottom-up tailored nanowires
• Quantum Optics of Chiral Spin Networks
• Decoherence-free interaction between giant atoms in waveguide QED
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
• Photon scattering by a three-level emitter in a one-dimensional waveguide
• Unconventional quantum optics in topological waveguide QED
• Quantum Spin Dimers from Chiral Dissipation in Cold-Atom Chains
• Perfect Reflection of Light by an Oscillating Dipole
• Photonic Quantum Circuits with Time Delays
• Atom-field dressed states in slow-light waveguide QED
• Superradiance in a Large and Dilute Cloud of Cold Atoms in the Linear-Optics Regime
• Laser driven atoms in half-cavities
• Multi-photon Scattering Theory and Generalized Master Equations
• Efficient Photonic Crystal Cavity-Waveguide Couplers
• Exciting a Bound State in the Continuum through Multi-Photon Scattering plus Delayed Quantum Feedback
• Probing the quantum vacuum with an artificial atom in front of a mirror
• Dynamics of spontaneous emission in a single-end photonic waveguide
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Non-Markovian Dynamics in Chiral Quantum Networks with Spins and Photons
• Nonradiative interaction and entanglement between distant atoms
• Bound states in boson impurity models
• Universal Quantum Computation in Waveguide QED using Decoherence Free Subspaces
• Nonreciprocity realized with quantum nonlinearity
• Bound states and entanglement generation in waveguide quantum electrodynamics
• Reliable multiphoton generation in waveguide QED
• Scattering of two photons from two distant qubits: Exact solution
• Photon localization versus population trapping in a coupled-cavity array
• Non-Markovian effects in waveguide-mediated entanglement
• Dynamical signatures of bound states in waveguide QED
• One-Dimensional Waveguide Coupled to Multiple Qubits: Photon-Photon Correlations
• Chiral quantum optics with V-level atoms and coherent quantum feedback
• Intrinsic Cavity QED and Emergent Quasi-Normal Modes for Single Photon
• Heralded Bell State of Dissipative Qubits Using Classical Light in a Waveguide
• Correlated photon emission by two excited atoms in a waveguide
• Long-lived entanglement of two multilevel atoms in a waveguide
• Robust coherent transport of light in multi-level hot atomic vapors

Cited by in corpus (29)

• Non-Markovian collective emission from macroscopically separated emitters
• Nonreciprocal and chiral single-photon scattering for giant atoms
• Bound states in the continuum in symmetric and asymmetric photonic crystal slabs
• Controlling interactions between quantum emitters using atom arrays
• Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance
• Collective radiation from distant emitters
• Hidden non-Markovianity in open quantum systems
• Strongly entangled system-reservoir dynamics with multiphoton pulses beyond the two-excitation limit: Exciting the atom-photon bound state
• Generalized spin-boson models with non-normalizable form factors
• Multidimensional super- and subradiance in waveguide quantum electrodynamics
• Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences
• Directional emission and photon bunching from a qubit pair in waveguide
• Delay-induced spontaneous dark state generation from two distant excited atoms
• Intermittent decoherence blockade in a chiral ring environment
• The self-energy of Friedrichs-Lee models and its application to bound states and resonances
• Dimensional reduction of the Dirac theory
• Exact solution for the collective non-Markovian decay of two fully excited quantum emitters
• Two-particle States in One-dimensional Coupled Bose-Hubbard Models
• Non-Markovian dynamics of generation of bound states in the continuum via single-photon scattering
• Virtual Atom-Photon Bound States and Spontaneous Emission Control
• Stationary excitation waves and multimerization in arrays of quantum emitters
• Bound states in the continuum are universal under the effect of minimal length
• Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences
• Photon-emitter dressed states in a closed waveguide
• Optimal storage time for $N$ qubits coupled to a one-dimensional waveguide
• Dispersive bands of bound states in the continuum
• Pulsed Quantum Excitation
• Quasi-degenerate resonant eigenstate doublets of two quantum emitters in a closed waveguide
• Oscillating bound states in waveguide-QED system with two giant atoms