One- and Two-Photon Scattering by Two Atoms in a Waveguide

Abstract

We consider the interaction of one- and two-photon pulses in a waveguide with two two-level systems (TLS) that are also able to interact directly either through an exchange- or a dipole-type interaction. We focus on the system's transport properties and show how the presence of a second TLS increases the control options, especially when direct interactions are also allowed. We also obtain, within a Markov (long pulse) approximation, exact results for the nonlinear or entangled terms that arise in the two-photon case, and discuss both their potential applications and ways to minimize their effects.

References in corpus (37)

• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• Near-unity coupling efficiency of a quantum emitter to a photonic-crystal waveguide
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• 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
• Waveguide QED: Many-Body Bound State Effects on Coherent and Fock State Scattering from a Two-Level System
• Multi-photon Scattering Theory and Generalized Master Equations
• Optical Schemes for Quantum Computation in Quantum Dot Molecules
• Waveguide-QED-Based Photonic Quantum Computation
• 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
• Multi-qubit entanglement in bi-directional chiral waveguide QED
• Single Photon Transport through an Atomic Chain Coupled to a One-dimensional Nanophotonic Waveguide
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Entangling Dipole-Dipole Interactions and Quantum Logic in Optical Lattices
• Scattering of two photons from two distant qubits: Exact solution
• Generation, manipulation, and detection of two-qubit entanglement in waveguide QED
• Waveguide transport mediated by strong coupling with atoms
• Non-Markovian effects in waveguide-mediated entanglement
• A passive CPHASE gate via cross-Kerr nonlinearities
• Photon sorters and QND detectors using single photon emitters
• Coherent single-photon absorption by single emitters coupled to 1D nanophotonic waveguides (Chen, et al.)
• Two-photon entanglement in multi-qubit bi-directional waveguide QED
• 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
• Scattering of massless particles in one-dimensional chiral channel
• Arrays of strongly-coupled atoms in a one-dimensional waveguide
• Scattering of two photons on a quantum emitter in a one-dimensional waveguide: Exact dynamics and induced correlations
• Rabi oscillation in a quantum cavity: Markovian and non-Markovian dynamics
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Solving the scattering of N photons on a two-level atom without computation
• Fully quantum mechanical dynamic analysis of single-photon transport in a single-mode waveguide coupled to a traveling-wave resonator
• Proposal for Monitoring and Heralding Position States of Atoms in a One-Dimensional Waveguide

Cited by in corpus (11)

• 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
• Few-photon Fock-state wave packet interacting with a cavity-atom system in a waveguide: Exact quantum state dynamics
• Protection of a qubit with a subradiance effect: Josephson quantum filter
• Passive, deterministic photonic CPHASE gate via two-level systems
• Detecting two photons with one molecule
• Quantum Mechanical Treatment of Two-Level Atoms Coupled to Continuum with an Ultraviolet Cutoff
• Quantum coherent and measurement feedback control based on atoms coupled with a semi-infinite waveguide
• On the dynamics of two photons interacting with a two-qubit coherent feedback network}
• On the response of a two-level system to two-photon inputs