Single-photon scattering on a qubit. Space-time structure of the scattered field

Abstract

We study the space-time structure of the scattered field induced by the scattering of a narrow single-photon Gaussian pulse on a qubit embedded in 1D open waveguide. For a weak excitation power we obtain explicit analytical expressions for space and time dependence of reflected and transmitted fields which are, in general, are different from plain travelling waves. The scattered field consists of two parts: a damping part which represent a spontaneous decay of the excited qubit and a coherent, lossless part. We show that for large distance $x$ from qubit and at times $t$ long after the scattering event our theory provides the result which is well known from the stationary photon transport. However, the approach to the stationary limit is very slow. The scattered field decreases as the inverse powers of $x$ and $t$ as both the distance from the qubit and the time after the interaction increase.

arXiv comment14 pages, 10 figures. This is a deeply revised version of the previous paper

References in corpus (23)

• Microwave photonics with superconducting quantum circuits
• Resonance Fluorescence of a Single Artificial Atom
• The Single-Photon Router
• Strongly interacting photons in one-dimensional continuum
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• 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
• Input-Output Theory with Quantum Pulses
• Quantum description of light pulse scattering on a single atom in waveguides
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Waveguide transport mediated by strong coupling with atoms
• Microwave Quantum Optics with an Artificial Atom
• Controlling single-photon transport in waveguides with finite cross-section
• Coherent single-photon absorption by single emitters coupled to 1D nanophotonic waveguides (Chen, et al.)
• Non-exponential and oscillatory decays in quantum mechanics
• 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
• Correlated few-photon transport in one-dimensional waveguides: linear and nonlinear dispersions
• Non-Hermitian Hamiltonian approach to the microwave transmission through one- dimensional qubit chain
• Photon-mediated qubit interactions in 1D discrete and continous models
• Waveguide bandgap N-qubit array with a tunable transparency resonance
• Correlated Dephasing Noise in Single-photon Scattering

Cited by in corpus (2)

• Single-photon scattering on a two-qubit system. Spatio-temporal structure of the scattered field
• Spontaneous emission of a three-level artificial atom in a one-dimensional open waveguide