Dynamical theory of single photon transport in a one-dimensional waveguide coupled to identical and non-identical emitters

Abstract

We develop a general dynamical theory for studying a single photon transport in a one-dimensional (1D) waveguide coupled to multiple emitters which can be either identical or non-identical. In this theory, both the effects of the waveguide and non-waveguide vacuum modes are included. This theory enables us to investigate the propagation of an emitter excitation or an arbitrary single photon pulse along an array of emitters coupled to a 1D waveguide. The dipole-dipole interaction induced by the non-waveguide modes, which is usually neglected in the literatures, can significantly modify the dynamics of the emitter system as well as the characteristics of output field if the emitter separation is much smaller than the resonance wavelength. Non-identical emitters can also strongly couple to each other if their energy difference is smaller than or of the order of the dipole-dipole energy shift. Interestingly, if their energy difference is close but non-zero, a very narrow transparency window around the resonance frequency can appear which does not occur for identical emitters. This phenomenon may find important applications in quantum waveguide devices such as optical switch and ultra narrow single photon frequency comb generator.

arXiv comment17 pages, 8 figures

References in corpus (45)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• A single-photon transistor using nano-scale surface plasmons
• Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
• Nanophotonic quantum phase switch with a single atom
• Photon-mediated interactions between distant artificial atoms
• 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
• The Single-Photon Router
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Electromagnetically induced transparency on a single artificial atom
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Single-photon nonlinear optics with a quantum dot in a waveguide
• 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 super-cavity with atomic mirrors
• Generation of nonclassical microwave states using an artificial atom in 1D open space
• Waveguide-QED-Based Photonic Quantum Computation
• Generation and transfer of single photons on a photonic crystal chip
• 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
• Inhibited spontaneous emission of quantum dots observed in a 3D photonic band gap
• N-Photon wave packets interacting with an arbitrary quantum system
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Cavity-free Photon Blockade Induced by Many-body Bound States
• Universal Quantum Computation in Waveguide QED using Decoherence Free Subspaces
• Single-photon quantum router with multiple output ports
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Trapped Atoms in One-Dimensional Photonic Crystals
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Controlling single-photon transport in waveguides with finite cross-section
• 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.)
• Scattering of massless particles in one-dimensional chiral channel
• Rabi oscillation in a quantum cavity: Markovian and non-Markovian dynamics
• Tunable single-photon frequency conversion in a Sagnac interferometer
• Quasideterministic realization of a universal quantum gate in a single scattering process
• Solving the scattering of N photons on a two-level atom without computation
• Waveguide QED: controllable channel from quantum interference
• Rectification of light in the quantum regime
• Dipole-Induced Electromagnetic Transparency

Cited by in corpus (32)

• Microwave photonics with superconducting quantum circuits
• Waveguide transport mediated by strong coupling with atoms
• Single-photon scattering in a giant-molecule waveguide-QED system
• Tunable single-photon diode by chiral quantum physics
• Non-Markovian Dynamics of a Qubit Due to Single-Photon Scattering in a Waveguide
• Exact Markovian and non-Markovian time dynamics in waveguide QED: collective interactions, bound states in continuum, superradiance and subradiance
• Multiple Fano interferences due to waveguide-mediated phase-coupling between atoms
• Transparency in a periodic chain of quantum emitters strongly coupled to a waveguide
• Multiphoton pulses interacting with multiple emitters in a one-dimensional waveguide
• 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
• Few-photon Fock-state wave packet interacting with a cavity-atom system in a waveguide: Exact quantum state dynamics
• Optical properties of a waveguide-mediated chain of randomly positioned atoms
• Measurement of deep-subwavelength emitter separation in a waveguide-QED system
• Single-photon scattering in giant-atom topological-waveguide-QED systems
• Long-lived entanglement of two multilevel atoms in a waveguide
• Entangling two giant atoms via a topological waveguide
• 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
• Deterministic generation of arbitrary n-photon states in an integrated photonic system
• Quantum search in many-body interacting system with long-range interaction
• Single-photon scattering on a qubit. Space-time structure of the scattered field
• Limits of single-photon storage in a single $\Lambda$-type atom
• Tunable ultrahigh reflection with broadband via collective atom-atom interaction in waveguide-QED system
• The field-induced interaction between non-resonant magnetic dipoles
• Collectively induced transparency and absorption in waveguide QED with Bragg atom arrays
• Controlling single-photon scattering in a rectangular waveguide by a V-type three-level emitter
• Single-photon scattering on a two-qubit system. Spatio-temporal structure of the scattered field
• The field induced magnetic dipolar interaction for general boundary conditions
• Super-Heisenberg-limited Sensing via Collective Subradiance in Waveguide Quantum Electrodynamics
• Magnetic dipole-dipole interaction induced by the electromagnetic field