Multiphoton pulses interacting with multiple emitters in a one-dimensional waveguide

Abstract

We derive a generalized master equation for multiphoton pulses interacting with multiple emitters in a waveguide-quantum electrodynamics system where the emitter frequency can be modulated and the effects of non-guided modes can also be considered. Based on this theory, we can calculate the real-time dynamics of an array of interacting emitters driven by an incident photon pulse which can be vacuum, a coherent state, a Fock state or their superpositions. Moreover, we also derive generalized input-output relations to calculate the reflectivity and transmissivity of this system. We can also calculate the output photon pulse shapes. Our theory can find important applications in the study of waveguide-based quantum systems.

arXiv comment17 pages, 6 figures

References in corpus (62)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• The Quantum Internet
• Chiral Quantum Optics
• Quantum Plasmonics
• Transverse and longitudinal angular momenta of light
• Chiral nanophotonic waveguide interface based on spin-orbit coupling of light
• Non-local propagation of correlations in long-range interacting quantum systems
• Near-unity coupling efficiency of a quantum emitter to a photonic-crystal waveguide
• Quantum many-body models with cold atoms coupled to photonic crystals
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• All-Optical Routing of Single Photons by a One-Atom Switch Controlled by a Single Photon
• Strongly interacting photons in one-dimensional continuum
• Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
• Quantum Optics of Chiral Spin Networks
• Entanglement of two quantum memories via fibers over dozens of kilometres
• Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
• Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
• Cavity QED with atomic mirrors
• Photon scattering by a three-level emitter in a one-dimensional waveguide
• Waveguide QED: Many-Body Bound State Effects on Coherent and Fock State Scattering from a Two-Level System
• Two-photon scattering by a driven three-level emitter in a one-dimensional waveguide and electromagnetically induced transparency
• Multi-photon Scattering Theory and Generalized Master Equations
• Quantum dynamics of propagating photons with strong interactions: a generalized input-output formalism
• Quantum super-cavity with atomic mirrors
• Waveguide-QED-Based Photonic Quantum Computation
• Two-Photon Transport in a Waveguide Coupled to a Cavity with a Two-level System
• Lehmann-Symanzik-Zimmermann Reduction Approach to Multi-Photon Scattering in Coupled-Resonator Arrays
• Scalable in operando strain tuning in nanophotonic waveguides enabling three-quantum dot superradiance
• A Waveguide-Coupled On-Chip Single Photon Source
• Exciting a Bound State in the Continuum through Multi-Photon Scattering plus Delayed Quantum Feedback
• N-Photon wave packets interacting with an arbitrary quantum system
• The SLH framework for modeling quantum input-output networks
• Long-distance distribution of atom-photon entanglement at telecom wavelength
• Waveguide integrated low noise NbTiN nanowire single-photon detectors with milli-Hz dark count rate
• Input-Output Theory with Quantum Pulses
• Quantum networks with chiral light--matter interaction in waveguides
• Quantum description of light pulse scattering on a single atom in waveguides
• Bound states in boson impurity models
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Bound states and entanglement generation in waveguide quantum electrodynamics
• Scattering of two photons from two distant qubits: Exact solution
• Waveguide transport mediated by strong coupling with atoms
• Controllable single-photon frequency converter via a one-dimensional waveguide
• Coherent single-photon absorption by single emitters coupled to 1D nanophotonic waveguides (Chen, et al.)
• Dynamical theory of single photon transport in a one-dimensional waveguide coupled to identical and non-identical emitters
• One-Dimensional Waveguide Coupled to Multiple Qubits: Photon-Photon Correlations
• Intrinsic Cavity QED and Emergent Quasi-Normal Modes for Single Photon
• 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
• Photon molecules in atomic gases trapped near photonic crystal waveguides
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Solving the scattering of N photons on a two-level atom without computation
• Multiple Emitters in a Waveguide: Non-Reciprocity and Correlated Photons at Perfect Elastic Transmission
• Waveguide quantum electrodynamics in squeezed vacuum
• One- and Two-Photon Scattering by Two Atoms in a Waveguide
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Phase-space distribution functions for photon propagation in waveguides coupled to a qubit
• Measurement of deep-subwavelength emitter separation in a waveguide-QED system
• Photon distribution function for propagation of two-photon pulses in waveguide-qubit systems
• Diagrammatic approach for analytical non-Markovian time-evolution: Fermi's two atom problem and causality in waveguide quantum electrodynamics
• Quantum state preparation by a shaped photon pulse in one-dimensional continuum

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• Diagrammatic Approach to Scattering of Multi-Photon States in Waveguide QED
• Photon-mediated dipole-dipole interactions as a resource for quantum science and technology in cold atoms
• Topologically protected subradiant cavity polaritons through linewidth narrowing enabled by dissipationless edge states
• Quantum refrigerator driven by nonclassical light
• Tunable ultrahigh reflection with broadband via collective atom-atom interaction in waveguide-QED system
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• Photon counting probabilities of the output field for a single-photon input