Universal sign-control of coupling in tight-binding lattices

Abstract

We present a method of locally inverting the sign of the coupling term in tight-binding systems, by means of inserting a judiciously designed ancillary site and eigenmode matching of the resulting vertex triplet. Our technique can be universally applied to all lattice configurations, as long as the individual sites can be detuned. We experimentally verify this method in laser-written photonic lattices and confirm both the magnitude and the sign of the coupling by interferometric measurements. Based on these findings, we demonstrate how such universal sign-flipped coupling links can be embedded into extended lattice structures to impose a ${\mathbb{Z}}_2$-gauge transformation. This opens a new avenue for investigations on topological effects arising from magnetic fields with aperiodic flux patterns or in disordered systems.

accepted in Phys. Rev. Lett

References in corpus (9)

• Dynamical control of matter-wave tunneling in periodic potentials
• Measurement of topological invariants in a 2D photonic system
• Optomechanical creation of magnetic fields for photons on a lattice
• Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
• Landau levels of Majorana fermions in a spin liquid
• Fractional statistics of topological defects in graphene and related structures
• Quantum statistics on graphs
• Quantum paramagnet in a $\pi$ flux triangular lattice Hubbard model
• Direct measurement of second-order coupling in a waveguide lattice

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