Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms

Abstract

We study the two-photon scattering processes in a one-dimensional waveguide coupled to a two- or three-level giant atom, respectively. The accumulated phase shift between the two coupling points can be utilized to alter the scattering processes. We obtain the exact interacting two-photon scattering wavefunction of these two systems following the Lippmann-Schwinger formalism, from which the analytical expressions of incoherent power spectra and second-order correlations are also derived. The incoherent spectrum, defined by the correlation of the bound state, serves as a useful indication of photon-photon correlation. The second-order correlation function gives a direct measure of photon-photon correlation. For photons scattered by the two-level giant atom, the accumulated phase shift can be used to improve photon-photon correlation,and adjust the evolution of the second-order correlation. In the system of the three-level giant atom, the photon-photon correlation can be substantially increased. Moreover, the photon-photon interactions and correlation distance of scattered photons can be further enhanced by tuning the accumulated phase shift.

References in corpus (47)

• Microwave photonics with superconducting quantum circuits
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Strongly interacting photons in one-dimensional continuum
• Decoherence-free interaction between giant atoms in waveguide QED
• Waveguide Quantum Electrodynamics with Giant Superconducting Artificial Atoms
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Designing frequency-dependent relaxation rates and Lamb shift for a giant artificial atom
• Nonexponential decay of a giant artificial atom
• Few-photon transport in low-dimensional systems: Interaction-induced radiation trapping
• Two-photon scattering by a driven three-level emitter in a one-dimensional waveguide and electromagnetically induced transparency
• Oscillating bound states for a giant atom
• Engineering the Level Structure of a Giant Artificial Atom in Waveguide Quantum Electrodynamics
• Correlated two-photon transport in a one-dimensional waveguide side-coupled to a nonlinear cavity
• Generation of nonclassical microwave states using an artificial atom in 1D open space
• Two-Photon Transport in a Waveguide Coupled to a Cavity with a Two-level System
• Single-photon scattering and bound states in an atom-waveguide system with two or multiple coupling points
• Lehmann-Symanzik-Zimmermann Reduction Approach to Multi-Photon Scattering in Coupled-Resonator Arrays
• On-Demand Directional Microwave Photon Emission Using Waveguide Quantum Electrodynamics
• Few-photon optical diode
• 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
• Correlated two-photon scattering in cavity optomechanics
• Mechanism of decoherence-free coupling between giant atoms
• Nonreciprocal and chiral single-photon scattering for giant atoms
• Scattering of two photons from two distant qubits: Exact solution
• Strongly correlated photons generated by coupling a three- or four-level system to a waveguide
• Generation of maximally-entangled long-lived states with giant atoms in a waveguide
• Beyond Spontaneous Emission: Giant Atom Bounded in Continuum
• Photonic simulation of giant atom decay
• Coherent single-photon scattering spectra for a giant-atom waveguide-QED system beyond dipole approximation
• Few photon transport in a waveguide coupled to a pair of collocated two-level atoms
• Many-body localization in waveguide QED
• Collective Radiance of Giant Atoms in Non-Markovian Regime
• Topology and retardation effect of a giant atom in a topological waveguide
• One-Dimensional Waveguide Coupled to Multiple Qubits: Photon-Photon Correlations
• Correlated few-photon transport in one-dimensional waveguides: linear and nonlinear dispersions
• Manipulating single-photon transport in a waveguide-QED structure containing two giant atoms
• On-demand microwave generator of shaped single photons
• Two-photon scattering of a tightly focused weak light beam from a small atomic ensemble : an optical probe to detect atomic level structures
• Effective many-body Hamiltonians of qubit-photon bound states
• Statistics of scattered photons from a driven three-level emitter in a one-dimensional open space
• Analytic Few Photon Scattering in Waveguide QED
• Tunable directional photon scattering from a pair of superconducting qubits
• Amplification and cross-Kerr nonlinearity in waveguide quantum electrodynamics
• Single photons versus coherent state input in waveguide quantum electrodynamics: light scattering, Kerr and cross-Kerr effect

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• Harnessing spontaneous emission of correlated photon pairs from ladder-type giant atoms
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