# Modulation-assisted tunneling in laser-fabricated photonic Wannier–Stark ladders

@article{Mukherjee2015ModulationassistedTI, title={Modulation-assisted tunneling in laser-fabricated photonic Wannier–Stark ladders}, author={Sebabrata Mukherjee and Alexander Spracklen and Debaditya Choudhury and Nathan Goldman and Patrik {\"O}hberg and Erika Andersson and Robert R. Thomson}, journal={New Journal of Physics}, year={2015}, volume={17} }

We observe Wannier–Stark (W–S) localization in curved photonic lattices, realized using arrays of evanescently coupled optical waveguides. By correctly tuning the strength of inter-site coupling in the lattice, we observe that W–S states become increasingly localized, and eventually fully localized to one site, as the curvature of the lattice is increased. We then demonstrate that tunneling can be successfully restored in the lattice by applying a resonant sinusoidal modulation to the lattice…

## 32 Citations

### Grating assisted tunneling in photonic lattices: The Harper-Hofstadter Hamiltonian

- Physics2016 Progress in Electromagnetic Research Symposium (PIERS)
- 2016

We present a grating assisted tunneling scheme for creating tunable synthetic magnetic fields in optically induced one- and two-dimensional (dielectric) photonic lattices [1]. As a signature of the…

### Observation of robust flat-band localization in driven photonic rhombic lattices.

- PhysicsOptics letters
- 2017

It is demonstrated that a flat-band state in a quasi-one-dimensional rhombic lattice is robust in the presence of external drivings along the lattice axis, and this robust localization is due to destructive interference of the analogous wavefunction and is associated with the symmetry in the lattices geometry.

### The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

- Physics
- 2015

We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields in optically induced one- and two-dimensional dielectric photonic lattices. As a signature of…

### Observation of localized flat-band modes in a quasi-one-dimensional photonic rhombic lattice.

- PhysicsOptics letters
- 2015

In the future, the use of photonic rhombic lattices, together with the successful implementation of a synthetic gauge field, will enable the observation of Aharonov-Bohm photonic caging.

### Experimental Observation of Aharonov-Bohm Cages in Photonic Lattices.

- PhysicsPhysical review letters
- 2018

The experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices are reported on and the dynamics on the edge of the lattice are explored and how the corresponding edge states can be continuously connected to the topological edge states of the Creutz ladder.

### Experimental simulation of solid-state phenomena using photonic lattices

- Physics
- 2016

The propagation of light waves across a periodic array of evanescently coupled optical waveguides can be described by a Schrödinger-like equation for a particle in a periodic potential. This mapping…

### Observation of localized ground and excited orbitals in graphene photonic ribbons

- Physics
- 2018

We report on the experimental realization of a quasi-one-dimensional photonic graphene ribbon supporting four flat-bands (FBs). We study the dynamics of fundamental and dipolar modes, which are…

### Topological photonics

- PhysicsNature Photonics
- 2014

Applying the mathematical concept of topology to the wave-vector space of photonics yields exciting opportunities for creating new states of light with useful properties such as unidirectional…

### Anomalous transport in a topological Wannier-Stark ladder

- PhysicsPhysical Review Research
- 2020

A dc (e.g. electric) field with commensurate lattice direction turns a single particle band structure in $d=3$ dimensions into an infinite set of equally spaced irreducible $(d-1)=2$-dimensional…

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