Photon transport mediated by an atomic chain trapped along a photonic crystal waveguide

Abstract

We theoretically investigate the transport properties of a weak coherent input field scattered by an ensemble of $\Lambda$-type atoms coupled to a one-dimensional photonic crystal waveguide. In our model, the atoms are randomly located in the lattice along the crystal axis. We analyze the transmission spectrum mediated by the tunable long-range atomic interactions, and observe the highest-energy dip. The results show that the highest-energy dip location is associated with the number of the atoms, which provides an accurate measuring tool for the emitter-waveguide system. We also quantify the influence of a Gaussian inhomogeneous broadening and the dephasing on the transmission spectrum, concluding that the highest-energy dip is immune to both the inhomogeneous broadening and the dephasing. Furthermore, we study photon-photon correlations of the reflected field and observe quantum beats. With tremendous progress in coupling atoms to photonic crystal waveguides, our results may be experimentally realizable in the near future.

arXiv comment10 pages,7 figures, accepted by Physical Review A

References in corpus (61)

• The Quantum Internet
• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Long-distance quantum communication with atomic ensembles and linear optics
• Interfacing single photons and single quantum dots with photonic nanostructures
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Microwave photonics with superconducting quantum circuits
• A single-photon transistor using nano-scale surface plasmons
• Cavity-based quantum networks with single atoms and optical photons
• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• Optical interface created by laser-cooled atoms trapped in the evanescent field surrounding an optical nanofiber
• A Diamond Nanowire Single Photon Antenna
• Resonance Fluorescence of a Single Artificial Atom
• Deterministic photon-emitter coupling in chiral photonic circuits
• Near-unity coupling efficiency of a quantum emitter to a photonic-crystal waveguide
• Nanophotonic quantum phase switch with a single atom
• 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
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• The Single-Photon Router
• Strongly interacting photons in one-dimensional continuum
• Atom-Light Interactions in Photonic Crystals
• Electromagnetically induced transparency on a single artificial atom
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Experimental realization of highly-efficient broadband coupling of single quantum dots to a photonic crystal waveguide
• Quantum Nonlinear Optics with a Germanium-Vacancy Color Center in a Nanoscale Diamond Waveguide
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Slowing and stopping light using an optomechanical crystal array
• Single-photon nonlinear optics with a quantum dot in a waveguide
• Cavity QED with atomic mirrors
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Quantum electrodynamics near a photonic band-gap
• Super-radiance reveals infinite-range dipole interactions through a nanofiber
• Atom-atom interactions around the band edge of a photonic crystal waveguide
• Demonstration of a memory for tightly guided light in an optical nanofiber
• Quantum dynamics of propagating photons with strong interactions: a generalized input-output formalism
• Generation of nonclassical microwave states using an artificial atom in 1D open space
• Atom-light interactions in quasi-1D nanostructures: a Green's function perspective
• A Waveguide-Coupled On-Chip Single Photon Source
• Cavity QED on a nanofiber using a composite photonic crystal cavity
• Coherent backscattering of light off one-dimensional atomic strings
• Storage of fiber-guided light in a nanofiber-trapped ensemble of cold atoms
• Trapped Atoms in One-Dimensional Photonic Crystals
• Nanowire photonic crystal waveguides for single-atom trapping and strong light-matter interactions
• Position-squared coupling in a tunable photonic crystal optomechanical cavity
• Quantum memory and gates using a Lambda-type quantum emitter coupled to a chiral waveguide
• Coherence properties of nanofiber-trapped cesium atoms
• A state-insensitive, compensated nanofiber trap
• Dispersive Optical Interface Based on Nanofiber-Trapped Atoms
• Simulating spin-charge separation with light
• Photon molecules in atomic gases trapped near photonic crystal waveguides
• Propagation of nanofiber-guided light through an array of atoms
• Designing exotic many-body states of atomic spin and motion in photonic crystals
• Photon scattering by an atomic ensemble coupled to a one-dimensional nanophotonic waveguide
• Efficient single-photon frequency conversion in the microwave domain using superconducting quantum circuits
• Hybrid Quantum System of a Nanofiber Mode Coupled to Two Chains of Optically Trapped Atoms
• Mimicking interacting relativistic theories with stationary pulses of light
• Optical properties of an atomic ensemble coupled to a band edge of a photonic crystal waveguide
• Tunable one-dimensional microwave emissions from cyclic-transition three-level atoms
• Changing optical band structure with single photons
• Enhanced cooperativity for quantum-nondemolition-measurement--induced spin squeezing of atoms coupled to a nanophotonic waveguide

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• Microwave transmission through an artificial atomic chain coupled to a superconducting photonic crystal
• Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide
• Optical properties of a waveguide-mediated chain of randomly positioned atoms
• Selective transport of atomic excitations in a driven chiral-coupled atomic chain
• Quantum Networks for Single Photon Detection
• Time-reversed and coherently-enhanced memory: A single-mode quantum atom-optic memory without a cavity
• Atomic excitation delocalization at the clean to disordered interface in a chirally-coupled atomic array
• Tunable photon scattering by an atom dimer coupled to a band edge of a photonic crystal waveguide
• Sender-controlled measurement-device-independent multiparty quantum communication
• Dimer chains in waveguide quantum electrodynamics
• Collectively induced transparency and absorption in waveguide QED with Bragg atom arrays
• Fast and High Excitation Transport in Waveguide Quantum Electrodynamics
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