Fractional Bloch oscillations in photonic lattices

Abstract

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations manifest the wave nature of matter and are found in a wide variety of different physical systems. Here we report on the first experimental observation of fractional Bloch oscillations, using a photonic lattice as a model system of a two-particle extended Bose-Hubbard Hamiltonian. In our photonic simulator, the dynamics of two correlated particles hopping on a one-dimensional lattice is mapped into the motion of a single particle in a two-dimensional lattice with engineered defects and mimicked by light transport in a square waveguide lattice with a bent axis.

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• Femtosecond laser micromachining for integrated quantum photonics
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• Two-body physics in the Su-Schrieffer-Heeger model
• Photonic simulation of giant atom decay
• Fermionic statistics suppresses Fano resonances
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Design of a Photonic Lattice Using Shortcuts to Adiabaticity
• Superradiance paradox in waveguide lattices
• Bloch oscillations of topological edge modes
• Excitation dynamics in chain-mapped environments
• Sudden death of particle-pair Bloch oscillation and unidirectional propagation in a one-dimensional driven optical lattice
• Photonic lattice simulation of dissipation-induced correlations in bosonic systems
• Many-particle interference in a two-component bosonic Josephson junction: an all-optical simulation
• Stable Bloch oscillations and Landau-Zener tunneling in a non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric flat band lattice
• Interaction-induced connectivity of disordered two-particle states
• Bloch oscillations of multi-magnon excitations in a Heisenberg XXZ chain
• Wannier-Stark states in double-periodic lattices II: two-dimensional lattices
• Observation of non-Hermitian many-body skin effects in Hilbert space
• Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles
• Photonic Loschmidt echo in binary waveguide lattices
• Random dimer model in pseudo two-dimensional lattices
• Chiral excitation and effective bandwidth enhancement in tilted coupled optical waveguide lattices
• Projecting light beams with 3D waveguide arrays
• Resonant Bloch-wave beatings