Tunable photon-photon correlations in waveguide QED systems with giant atoms

Abstract

We investigate the scattering processes of two photons in a one-dimensional waveguide coupled to two giant atoms. By adjusting the accumulated phase shifts between the coupling points, we are able to effectively manipulate the characteristics of these scattering photons. Utilizing the Lippmann-Schwinger formalism, we derive analytical expressions for the wave functions describing two-photon interaction in separate, braided, and nested configurations. Based on these wave functions, we also obtain analytical expressions for the incoherent power spectra and second-order correlation functions. In contrast to small atoms, the incoherent spectrum, which is defined by the correlation of the bound state, can exhibit more tunability due to the phase shifts. Additionally, the second-order correlation functions in the transmission and reflection fields could be tuned to exhibit either bunching or antibunching upon resonant driving. These unique features offered by the giant atoms in waveguide QED could benefit the generation of nonclassical itinerant photons in quantum networks.

References in corpus (20)

• The Quantum Internet
• Silica-on-Silicon Waveguide Quantum Circuits
• Photon-mediated interactions between distant artificial atoms
• Propagating phonons coupled to an artificial atom
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• 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
• Waveguide QED: Power Spectra and Correlations of Two Photons Scattered Off Multiple Distant Qubits and a Mirror
• Two-photon gateway in one-atom cavity quantum electrodynamics
• Widely tunable on-chip microwave circulator for superconducting quantum circuits
• Photon-induced tunneling in optomechanical systems
• Photonic simulation of giant atom decay
• Manipulating single-photon transport in a waveguide-QED structure containing two giant atoms
• Chiral and nonreciprocal single-photon scattering in a chiral-giant-molecule waveguide-QED system
• Generation of two-giant-atom entanglement in waveguide-QED systems
• Single photon scattering from a chain of giant atoms coupled to a one-dimensional waveguide
• Correlated two-photon scattering in a one-dimensional waveguide coupled to two- or three-level giant atoms
• Single photons versus coherent state input in waveguide quantum electrodynamics: light scattering, Kerr and cross-Kerr effect
• Multiple electromagnetically induced transparency without a control field in an atomic array coupled to a waveguide

Cited by in corpus (4)

• Non-Markovian dynamics with a driven three-level giant atom in a semi-infinite photonic waveguide
• Simulating and probing many-body quantum states in waveguide-QED systems with giant atoms
• Harnessing spontaneous emission of correlated photon pairs from ladder-type giant atoms
• Giant atoms coupled to waveguide: Continuous coupling and multiple excitations