Topological edge states of bound photon pairs

Abstract

We predict the existence of interaction-driven edge states of bound two-photon quasiparticles in a dimer periodic array of nonlinear optical cavities. Energy spectrum of photon pairs is dramatically richer than in the noninteracting case or in a simple lattice, featuring collapse and revival of multiple edge and bulk modes as well as edge states in continuum. Despite the unexpected breakdown of the Zak phase technique and the edge mixing of internal and center-of-mass motion we link the edge state existence to the two-photon quantum walk graph connectivity, thus uncovering the topological nature of the many-body problem in complex lattices.

5 pages, 4 figures+ Supplementary

References in corpus (20)

• Topological Photonics
• Quantum fluids of light
• Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
• Topological nature of bound states in the radiation continuum
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Quantum walks of correlated particles
• Quantum phase transitions of light
• Repulsively bound atom pairs in an optical lattice
• Exploring Topological Phases With Quantum Walks
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• Edge Solitons in Nonlinear Photonic Topological Insulators
• Fractional Bloch oscillations in photonic lattices
• Quantum Walk on a Line with Two Entangled Particles
• Two-particle states in the Hubbard model
• Two-body physics in the Su-Schrieffer-Heeger model
• Topologically robust transport of entangled photons in a 2D photonic system
• Edge-localized states in quantum one-dimensional lattices
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
• Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
• Boundary effects on quantum q-breathers in a Bose-Hubbard chain

Cited by in corpus (54)

• Nonlinear topological photonics
• Pseudospin-valley coupled edge states in a photonic topological insulator
• Topological edge states of interacting photon pairs emulated in a topolectrical circuit
• Many-Body Topological and Skin States without Open Boundaries
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice
• Photon-mediated localization in two-level qubit arrays
• Quenched dynamics and spin-charge separation in an interacting topological lattice
• Topological two-body bound states in the interacting Haldane model
• Quasi-flat band enables subradiant two-photon bound states
• Interaction-induced lattices for bound states: Designing flat bands, quantized pumps and higher-order topological insulators for doublons
• Interaction-induced topological properties of two bosons in flat-band systems
• Topological photon pairs in a superconducting quantum metamaterial
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Interaction-induced two-photon edge states in extended Hubbard model realized in a cavity array
• Ring Dirac Solitons in Nonlinear Topological Lattices
• Two-body bound and edge states in the extended SSH Bose-Hubbard model
• Interaction induced doublons and embedded topological subspace in a complete flat-band system
• Radiative topological biphoton states in modulated qubit arrays
• Interaction-induced topological states of photon pairs
• Beyond hard-core bosons in transmon arrays
• Many-body Aharonov-Bohm caging in a lattice of rings
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Simulation of two-boson bound states using arrays of driven-dissipative coupled linear optical resonators
• Doublons, topology and interactions in a one-dimensional lattice
• Nonlinear two-photon Rabi-Hubbard model: superradiance and photon/photon-pair Bose-Einstein condensate
• Fate of Two-Particle Bound States in the Continuum in non-Hermitian Systems
• Quantum walks of correlated photons in non-Hermitian photonic lattices
• Electric circuit emulation of topological transitions driven by quantum statistics
• Observation of multiple time crystals in a driven-dissipative system with Rydberg gas
• Topological pumping induced by spatiotemporal modulation of interaction
• Topological interface states mediated by spontaneous symmetry breaking
• Exceptional points for photon pairs bound by nonlinear dissipation in cavity arrays
• Effects of Peierls phases in open linear chains
• Topological two-body bands in a multiband Hubbard model
• Long-Range Four-body Interactions in Structured Nonlinear Photonic Waveguides
• Edge states of photon pairs in cavity arrays with spatially modulated nonlinearity
• Intensity Correlation Measurement to Simulate Two-body BICs and Probe Nonlinear Discrete Breathers
• Topological states in qubit arrays induced by density-dependent coupling
• Multiparticle quantum walk: a dynamical probe of topological many-body excitations
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Solving and Completing the Rabi-Stark Model in the Ultrastrong Coupling Regime
• Interaction-Induced Higher-Order Topological Insulator via Floquet Engineering
• Probing the topology of the two-photon bands via time-dependent quantum walks
• Topological Photonics on a Small Scale
• Topological two-particle dynamics in a periodically driven lattice model with on-site interactions
• Variational approach for the two-body problem in a multiband extended-Hubbard model
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Engineering zero modes, Fano resonance and Tamm surface states of 'bound states in the gapped continuum'
• Topological bound states in a lattice of rings with nearest-neighbour interactions
• Correlated dynamics of three-particle bound states induced by emergent impurities in Bose-Hubbard model