Dynamical signatures of bound states in waveguide QED

Abstract

We study the spontaneous decay of an impurity coupled to a linear array of bosonic cavities forming a single-band photonic waveguide. The average frequency of the emitted photon is different from the frequency for single-photon resonant scattering, which perfectly matches the bare frequency of the excited state of the impurity. We study how the energy of the excited state of the impurity influences the spatial profile of the emitted photon. The farther the energy is from the middle of the photonic band, the farther the wave packet is from the causal limit. In particular, if the energy lies in the middle of the band, the wave packet is localized around the causal limit. Besides, the occupation of the excited state of the impurity presents a rich dynamics: it shows an exponential decay up to intermediate times, this is followed by a power-law tail in the long-time regime, and it finally reaches an oscillatory stationary regime. Finally, we show that this phenomenology is robust under the presence of losses, both in the impurity and the cavities.

References in corpus (14)

• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Photon-mediated interactions between distant artificial atoms
• Strongly interacting photons in one-dimensional continuum
• Quantum Nonlinear Optics with a Germanium-Vacancy Color Center in a Nanoscale Diamond Waveguide
• Quantum electrodynamics near a photonic band-gap
• Atom-atom interactions around the band edge of a photonic crystal waveguide
• Non-exponential decay via tunneling in tight-binding lattices and the optical Zeno effect
• Preservation of quantum correlation between separated nitrogen-vacancy centers embedded in photonic crystal cavities
• Non-Markovian Decay and Lasing Condition in an Optical Microcavity Coupled to a Structured Reservoir
• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Nonanalytic enhancement of the charge transfer from adatom to one-dimensional semiconductor superlattice and optical absorption spectrum
• Amplification of non-Markovian decay due to bound state absorption into continuum
• Photon-mediated qubit interactions in 1D discrete and continous models

Cited by in corpus (53)

• Microwave photonics with superconducting quantum circuits
• Single-photon scattering and bound states in an atom-waveguide system with two or multiple coupling points
• Subradiant states of quantum bits coupled to a one-dimensional waveguide
• Markovian and Non-Markovian Dynamics of Quantum Emitters coupled to Two-dimensional Structured Reservoirs
• Engineering and harnessing giant atoms in high-dimensional baths: a cold atoms' implementation
• Interacting Qubit-Photon Bound States with Superconducting Circuits
• Atomic-waveguide quantum electrodynamics
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Coherent nonlinear optics of quantum emitters in nanophotonic waveguides
• Characterizing decoherence rates of a superconducting qubit by direct microwave scattering
• Tunable and robust long-range coherent interactions between quantum emitters mediated by Weyl bound states
• Non-Markovian Quantum Optics with Three-Dimensional State-Dependent Optical Lattices
• Non-Markovian dynamics revealed at the bound state in continuum
• Bound states in the continuum for an array of quantum emitters
• Chiral quantum optics in photonic sawtooth lattices
• Single photons by quenching the vacuum
• Bound states in ultrastrong waveguide QED
• Distant emitters in ultrastrong waveguide QED: Ground-state properties and non-Markovian dynamics
• Anomalous-order exceptional point and non-Markovian Purcell effect at threshold in one-dimensional continuum systems
• Chiral Light--Matter Interaction Beyond the Rotating-Wave Approximation
• Atom-photon dressed states in a waveguide-QED system with multiple giant atoms
• Single-photon scattering in giant-atom topological-waveguide-QED systems
• Correlated photon emission by two excited atoms in a waveguide
• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Universal Dissipationless Dynamics in Gaussian Continuous-variable Open Systems
• Two emitters coupled to a bath with Kerr-like non-linearity: Exponential decay, fractional populations, and Rabi oscillations
• Super- and subradiant dynamics of quantum emitters mediated by atomic matter waves
• Fermionic matter-wave quantum optics with cold-atom impurity models
• Coherent Control of Collective Spontaneous Emission through Self-interference
• Theory of waveguide-QED with moving emitters
• A semiclassical analysis of dark state transient dynamics in waveguide circuit QED
• Dynamics of multiple atoms in one-dimensional fields
• Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Directional emission and photon bunching from a qubit pair in waveguide
• Remote Individual Addressing of Quantum Emitters with Chirped Pulses
• Connecting steady-states of driven-dissipative photonic lattices with spontaneous collective emission phenomena
• Transmon in a semi-infinite high-impedance transmission line -- appearance of cavity modes and Rabi oscillations
• Bound polariton states in the Dicke-Ising model
• Current-induced forces in single-resonance systems
• Input-Output Hierarchical Equations Of Motion
• Two-particle States in One-dimensional Coupled Bose-Hubbard Models
• Photon-induced droplet-like bound states in one-dimensional qubit array
• Dressed bound states and non-Markovian dynamics with a whispering-gallery-mode microcavity coupled to a two-level atom and a semi-infinite photonic waveguide
• Stationary excitation waves and multimerization in arrays of quantum emitters
• Self-adjointness and domain of generalized spin-boson models with mild ultraviolet divergences
• Photon-emitter dressed states in a closed waveguide
• Weak-coupling bound states in semi-infinite topological waveguide QED
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Characteristic influence of exceptional points in quantum dynamics
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains
• Quasi-degenerate resonant eigenstate doublets of two quantum emitters in a closed waveguide
• Bound states and decay dynamics in $N$-level Friedrichs model with factorizable interactions