Intensity Correlation Measurement to Simulate Two-body BICs and Probe Nonlinear Discrete Breathers

Abstract

We study Hanbury Brown-Twiss spatial intensity correlations in femtosecond laser-fabricated photonic Su-Schrieffer-Heeger lattices using coherent input states with tunable phases. By mapping intensity correlations to the two-body quantum walk, we experimentally simulate edge bound states in the continuum (BICs) of two indistinguishable bosons. These two-body edge BICs show remarkable robustness in the presence of disorder. We then discuss how intensity correlations can capture the dynamics of two identical fermions for which BICs do not exist on the same edge of the lattice. The localization of intensity correlation, observed in the linear regime, persists at weak nonlinearity due to the formation of long-lived edge breathers -- spatially localized nonlinear states with oscillating intensity along the propagation distance. For stronger nonlinearities, localized edge states are not formed for a range of phases, destroying the localization of the intensity correlation. Our results highlight the interplay of band structure, initial state, and nonlinearity influencing transport and intensity correlations.

6 pages, 6 figures, and supplementary material. Comments are welcome

References in corpus (25)

• Topological Photonics
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Discrete Breathers
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Quantum walks of correlated particles
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Nonlinear topological photonics
• Realization of quantum walks with negligible decoherence in waveguide lattices
• Strongly Correlated Quantum Walks in Optical Lattices
• Discrete breathers in nonlinear lattices: Experimental detection in a Josephson array
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Nonlinear switching and solitons in PT-symmetric photonic systems
• Observation of Topological Band Gap Solitons
• Quantum and classical correlations in waveguide lattices
• Observation of a higher-order topological bound state in the continuum
• Fractional Bloch oscillations in photonic lattices
• Observation and control of nonlinear electromagnetic topological edge states
• Observation of surface states with algebraic localization
• Nontrivial coupling of light into a defect: the interplay of nonlinearity and topology
• Two-body physics in the Su-Schrieffer-Heeger model
• Topological edge states of bound photon pairs
• Bound States in the Continuum Realized in the One-Dimensional Two-Particle Hubbard Model with an Impurity
• Weakly nonlinear topological gap solitons in Su-Schrieffer-Heeger photonic lattices
• Topological supermodes in photonic crystal fiber
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides

Cited by in corpus (4)

• Probing the Topological Anderson Transition in Quasiperiodic Photonic Lattices via Chiral Displacement and Wavelength Tuning
• Nonlinearity-induced Band Gap Transmission in Dispersive and Flat Band Photonic Lattices
• Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
• Phase and Photon Number Dependent NOON State Localization in Flat Band Lattices