Optical precursors in waveguide quantum electrodynamics

Abstract

When a broadband signal propagates through a dispersive medium, some frequency components move faster than the center of the pulse. This leads to the appearance of precursors, transient signals that emerge from the medium earlier than the main part of the pulse and seem to propagate superluminally. Here, we investigate the microscopic origin of precursors in a minimal setup: an array of qubits coupled to a waveguide. The linear transmission function only converges to that of a continuous medium for large qubit numbers. Nevertheless, the dispersion produced by only two qubits is enough to produce oscillatory transients. Precursors are best observed under conditions of electromagnetically-induced transparency, as the center of the pulse is significantly delayed. Under these conditions, just a single qutrit is enough to generate a precursor. Our results pave the way towards dispersion engineering of light with just a few qubits, and can be realized with superconducting qubits coupled to transmission lines or atoms coupled to optical waveguides.

arXiv comment10 pages, 6 figures

References in corpus (32)

• 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
• Near-unity coupling efficiency of a quantum emitter to a photonic-crystal waveguide
• Superradiance for atoms trapped along a photonic crystal waveguide
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Demonstration of a state-insensitive, compensated nanofiber trap
• Experimental realization of highly-efficient broadband coupling of single quantum dots to a photonic crystal waveguide
• Input-output theory for waveguide QED with an ensemble of inhomogeneous atoms
• Cavity QED with atomic mirrors
• 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
• Quantum Spin Dimers from Chiral Dissipation in Cold-Atom Chains
• Two-photon scattering by a driven three-level emitter in a one-dimensional waveguide and electromagnetically induced transparency
• 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
• Atom-light interactions in quasi-1D nanostructures: a Green's function perspective
• Two-Photon Transport in a Waveguide Coupled to a Cavity with a Two-level System
• Subradiant states of quantum bits coupled to a one-dimensional waveguide
• Deterministic generation of arbitrary photonic states assisted by dissipation
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Dynamics of many-body photon bound states in chiral waveguide QED
• Universal Quantum Computation in Waveguide QED using Decoherence Free Subspaces
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Inelastic scattering of photon pairs in qubit arrays with subradiant states
• Many-body localization in waveguide QED
• Optical precursors in transparent media
• Observation of Sommerfeld precursors on a fluid surface
• Non-exponential decay of a collective excitation in an atomic ensemble coupled to a one-dimensional waveguide
• Simple asymptotic forms for Sommerfeld and Brillouin precursors
• From Sommerfeld and Brillouin forerunners to optical precursors
• Observation of coherent coupling between super- and subradiant states of an ensemble of cold atoms collectively coupled to a single propagating optical mode

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