# 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…

### 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…

### Period-doubled Floquet Solitons

- Physics
- 2022

We propose and experimentally demonstrate a family of Floquet solitons in the bulk of a photonic topological insulator that have double the period of the drive. Our experimental system consists of a…

## References

SHOWING 1-10 OF 48 REFERENCES

### Observation of a Localized Flat-Band State in a Photonic Lieb Lattice.

- PhysicsPhysical review letters
- 2015

The first experimental realization of a dispersionless state is demonstrated, in a photonic Lieb lattice formed by an array of optical waveguides, which opens an exciting door towards quantum simulation of flat-band models in a highly controllable environment.

### Observation of photon-assisted tunneling in optical lattices.

- PhysicsPhysical review letters
- 2008

Tuning suppression and photon-assisted tunneling of Bose-Einstein condensates in an optical lattice subjected to a constant force plus a sinusoidal shaking are observed.

### Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices.

- PhysicsPhysical review letters
- 2013

It is shown that for two atomic spin states with opposite magnetic moments, the experimental implementation of an optical lattice that allows for the generation of large homogeneous and tunable artificial magnetic fields with ultracold atoms naturally realizes the time-reversal-symmetric Hamiltonian underlying the quantum spin Hall effect.

### Realizing the Harper Hamiltonian with laser-assisted tunneling in optical lattices.

- PhysicsPhysical review letters
- 2013

The Harper Hamiltonian for neutral particles in optical lattices is implemented using laser-assisted tunneling and a potential energy gradient provided by gravity or magnetic field gradients to describe the motion of charged particles in strong magnetic fields.

### Photon-assisted-tunneling toolbox for quantum simulations in ion traps

- Physics
- 2012

We describe a versatile toolbox for the quantum simulation of many-body lattice models, capable of exploring the combined effects of background Abelian and non-Abelian gauge fields, bond and site…

### Creating artificial magnetic fields for cold atoms by photon-assisted tunneling

- Physics
- 2011

This paper proposes a simple setup for introducing an artificial magnetic field for neutral atoms in 2D optical lattices. This setup is based on the phenomenon of photon-assisted tunneling and…

### Analog of photon-assisted tunneling in a Bose-Einstein condensate.

- PhysicsPhysical review letters
- 2005

Under experimentally accessible conditions there exist well-developed half-integer Shapiro-like resonances in many-body tunneling of a small Bose-Einstein condensate in a periodically modulated, tilted double-well potential.

### Direct observation of Landau-Zener tunneling in a curved optical waveguide coupler

- Physics
- 2009

An electromagnetic realization of Landau-Zener (LZ) tunneling is experimentally demonstrated in femtosecond-laser written waveguide couplers with a cubically bent axis. Quantitative measurements of…

### Peierls substitution in an engineered lattice potential.

- PhysicsPhysical review letters
- 2012

A one-dimensional lattice derived purely from effective Zeeman shifts resulting from a combination of Raman coupling and radio-frequency magnetic fields is described, with experimentally realizing the Peierls substitution for ultracold neutral atoms.

### Directed transport in driven optical lattices by gauge generation.

- Physics
- 2011

We examine the dynamics of ultracold atoms held in optical-lattice potentials. By controlling the switching of a periodic driving potential we show how a phase-induced renormalization of the…