Correlated two-photon transport in a one-dimensional waveguide side-coupled to a nonlinear cavity

Abstract

We investigate the transport properties of two photons inside a one-dimensional waveguide side-coupled to a single-mode nonlinear cavity. The cavity is filled with a nonlinear Kerr medium. Based on the Laplace transform method, we present analytic solution of quantum states of the transmitted and reflected two photons, which are initially prepared in a Lorentzian wave packet. The solution reveals how quantum correlation between the two photons emerge after the scattering by the nonlinear cavity. In particular, we show that the output wave function of the two photons in position space can be localized in the relative coordinates, which is a feature that may be interpreted as a two-photon bound state in this waveguide-cavity system.

9 pages, 5 figures

References in corpus (14)

• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum phase transitions of light
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Single photons from coupled quantum modes
• Quantum Many-Body Phenomena in Coupled Cavity Arrays
• Theory of single-photon transport in a single-mode waveguide coupled to a cavity containing a two-level atom
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• The quantum optical Josephson interferometer
• Effective spin systems in coupled micro-cavities
• Few-photon optical diode
• Controlling Quasibound States in 1D Continuum Through Electromagnetic Induced Transparency Mechanism
• Photon correlations in a two-site non-linear cavity system under coherent drive and dissipation

Cited by in corpus (81)

• Microwave photonics with superconducting quantum circuits
• Strongly interacting photons in one-dimensional continuum
• Photon blockade in quadratically coupled optomechanical systems
• Input-Output Formalism For Few-Photon Transport in One-Dimensional Nanophotonic Waveguides Coupled to a Qubit
• Nonreciprocal unconventional photon blockade in a spinning optomechanical system
• Quantum Simulation with Interacting Photons
• Single-photon nonlinear optics with graphene plasmons
• Correlated two-photon scattering in cavity optomechanics
• Quantum optical diode with semiconductor microcavities
• Single-photon quantum router with multiple output ports
• Spectrum of single-photon emission and scattering in cavity optomechanics
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Strongly correlated photons generated by coupling a three- or four-level system to a waveguide
• Multiphoton blockade in the two-photon Jaynes-Cummings model
• Controlling single-photon transport in waveguides with finite cross-section
• Few photon transport in a waveguide coupled to a pair of collocated two-level atoms
• Non-Markovian disentanglement dynamics in double-giant-atom waveguide-QED systems
• Single-photon scattering in a giant-molecule waveguide-QED system
• Magnon blockade in a PT-symmetric-like cavity magnomechanical system
• Photon blockade induced by atoms with Rydberg coupling
• Multiphoton blockades in pulsed regimes beyond the stationary limits
• Enhancement of photon blockade effect via quantum interference
• Chiral and nonreciprocal single-photon scattering in a chiral-giant-molecule waveguide-QED system
• Generation of two-giant-atom entanglement in waveguide-QED systems
• Two-photon transport through a waveguide coupling to a whispering gallery resonator containing an atom and photon-blockade effect
• Two-photon scattering of a tightly focused weak light beam from a small atomic ensemble : an optical probe to detect atomic level structures
• Tunable single-photon frequency conversion in a Sagnac interferometer
• Strongly correlated two-photon transport in a one-dimensional waveguide coupled to a weakly nonlinear cavity
• Control of single-photon transport in a one-dimensional waveguide by another single photon
• An Efficient Quantum Jump Method for Coherent Energy Transfer Dynamics in Photosynthetic Systems under the Influence of Laser Fields
• Manipulation and improvement of multiphoton blockade in a two cascade three-level atoms cavity-QED system
• Two photons co- and counter-propagating through $N$ cross-Kerr sites
• Achieving Strong Magnon Blockade through Magnon Squeezing in a Cavity Magnetomechanical System
• Single-photon scattering on a strongly dressed atom
• Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• Nonlinear quantum optics in the (ultra)strong light-matter coupling
• Magnon blockade in magnon-qubit systems
• Quantum theory of light scattering in a one-dimensional channel: Interaction effect on photon statistics and entanglement entropy
• Kerr-nonlinearity Enhanced Conventional Photon Blockade in Second-order-nonlinear System
• Statistics of scattered photons from a driven three-level emitter in a one-dimensional open space
• Photon Scattering from a System of Multi-Level Quantum Emitters. II. Application to Emitters Coupled to a 1D Waveguide
• Few-photon transport in many-body photonic systems: A scattering approach
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Quantum state transmission in a cavity array via two-photon exchange
• General structure of two-photon S matrix in waveguide quantum electrodynamics systems containing a local quantum system with multiple ground states
• Fano Interference in Two-Photon Transport
• Deterministic generation of multi-photon bundles in a quantum Rabi model
• Retrieval of photon blockade effect in the dispersive Jaynes-Cummings model
• Single-photon scattering in giant-atom topological-waveguide-QED systems
• Strong non-linearity-induced correlations for counter-propagating photons scattering on a two-level emitter
• Multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model
• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Few-photon optical diode in a chiral waveguide
• A tunable, nonlinear Hong-Ou-Mandel interferometer
• Atomic-scale on-demand photon polarization manipulation with high-efficiency for integrated photonic chips
• Few-photon Transport in Fano-resonance waveguide geometries
• Nonclassical correlated deterministic single-photon pairs for a trapped atom in bimodal cavities
• Dynamical $N$-photon bundle emission
• The scattering coefficients of superconducting microwave resonators: II. System-bath approach
• Fast transfer and efficient coherent separation of bound cluster in the extended Hubbard model
• Few photon scattering on Bose-Hubbard lattices
• Optical normal-mode-induced phonon-sideband splitting in photon-blockade effect
• Long-Range Four-body Interactions in Structured Nonlinear Photonic Waveguides
• Two-photon scattering in mixed cavity optomechanics
• Implications of exceptional points for few-photon transport in waveguide quantum electrodynamics
• Few-photon transport via a multimode nonlinear cavity: theory and applications
• Stimulated photon emission and two-photon Raman scattering in a coupled-cavity QED system
• Scaling Enhancement of Photon Blockade in Output Fields
• Deterministic two-photon C-Z gate with the two-photon quantum Rabi model
• Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures
• Hong-Ou-Mandel Interference with a Single Atom
• Two-mode correlated multiphoton bundle emission
• A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices
• Super-Heisenberg-limited Sensing via Collective Subradiance in Waveguide Quantum Electrodynamics
• Fast and High Excitation Transport in Waveguide Quantum Electrodynamics
• Dissipation-assisted few-photon optical diode
• On the response of a two-level system to two-photon inputs
• Nonreciprocal routing induced by chirality in an atom-dimer waveguide-QED system
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models
• Passive and Deterministic Controlled-phase Gate for Single-photon Wavepackets Based on Time-reversal Symmetric Photon Transport