Strongly correlated photon transport in nonlinear photonic lattice with disorder: Probing signatures of the localization transition

Abstract

We study the transport of few-photon states in an open disordered nonlinear photonic lattice. More specifically, we consider a waveguide quantum electrodynamics (QED) setup where photons are scattered from a chain of nonlinear resonators with onsite Bose-Hubbard interaction in the presence of an incommensurate potential. Applying our recently developed diagrammatic technique that represents scattering matrix (S-matrix) with scattering diagrams and associated propagators, we compute the two-photon transmission probability and show that it carries signatures of the underlying many-body localization transition of the system. We compare the calculated probability to the participation ratio of the eigenstates and find close agreement for a range of interaction strengths. We analyze the robustness of the transmission signatures against local dissipation and briefly discuss possible implementation using current superconducting circuit technology.

References in corpus (16)

• Chiral Quantum Optics
• Microwave photonics with superconducting quantum circuits
• Many-body localization edge in the random-field Heisenberg chain
• Phenomenology of fully many-body-localized systems
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
• Spectral signatures of many-body localization with interacting photons
• Many-Body Localization in a Quasiperiodic System
• Quantum optical circulator controlled by a single chirally coupled atom
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Cavity quantum acoustic device in the multimode strong coupling regime
• Input-Output Formalism for Few-Photon Transport: A Systematic Treatment Beyond Two Photons
• Scattering of massless particles in one-dimensional chiral channel
• Photon Scattering from a System of Multi-Level Quantum Emitters. II. Application to Emitters Coupled to a 1D Waveguide
• Photon Scattering from a System of Multi-Level Quantum Emitters. I. Formalism
• Light propagation through one-dimensional interacting open quantum systems

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• Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states
• A modified quasi-classical analysis to capture the effects of strong interaction in open QED lattices
• Controlling Excitation Localization in Waveguide QED Systems
• Coherent response of inhomogeneously broadened and spatially localized emitter ensembles in waveguide QED
• Equilibration of Non-interacting Photons and Quantum Signatures of Chaos