# Quantum localized states in photonic flat-band lattices

@article{RojasRojas2017QuantumLS, title={Quantum localized states in photonic flat-band lattices}, author={Santiago Rojas-Rojas and Luis Morales-Inostroza and Rodrigo A. Vicencio and Aldo Delgado}, journal={Physical Review A}, year={2017}, volume={96}, pages={043803} }

The localization of light in flat-band lattices has been recently proposed and experimentally demonstrated in several configurations, assuming a classical description of light. Here, we study the problem of light localization in the quantum regime. We focus on quasi one-dimensional and two-dimensional lattices which exhibit a perfect flat-band inside their linear spectrum. Localized quantum states are constructed as eigenstates of the interaction Hamiltonian with a vanishing eigenvalue and a…

## 15 Citations

Photonic flat band dynamics

- PhysicsAdvances in Physics: X
- 2021

ABSTRACT During the last decades, researchers of different scientific areas have investigated several systems and materials to suggest new ways of transporting and localizing light. These problems…

Flat bands and nontrivial topological properties in an extended Lieb lattice

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We report the appearance of multiple numbers of completely flat band states in an extended Lieb lattice model in two dimensions with five atomic sites per unit cell. We also show that this…

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- Medicine, PhysicsScientific Reports
- 2019

This work investigates the optical properties of a photonic crystal (PC) composed of a quasi-one-dimensional flat-band lattice array through finite-difference time-domain simulations and finds the FBs are shown to be nondispersive along the Г → X line, prohibiting optical transmission with incident light in x direction.

Nontrivial topological flat bands in a diamond-octagon lattice geometry

- PhysicsPhysical Review B
- 2018

We present the appearance of nearly flat band states with nonzero Chern numbers in a two-dimensional "diamond-octagon" lattice model comprising two kinds of elementary plaquette geometries, diamond…

Flat-band light dynamics in Stub photonic lattices

- Physics, MedicineScientific Reports
- 2017

This work experimentally study a Stub photonic lattice and excite their localized linear states originated from an isolated Flat Band at the center of the linear spectrum, positioning Flat Band systems as key setups to perform all-optical operations at any level of power.

Observation of flat-band and band transition in the synthetic space

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- 2021

Constructions of synthetic lattices in photonics attract growingly attentions for exploring interesting physics beyond the geometric dimensionality, among which modulated ring resonator system has…

Flatband generators

- Physics
- 2020

Flatbands (FBs) are dispersionless energy bands in the single-particle spectrum of a translational invariant tight-binding network. The FBs occur due to destructive interference, resulting in…

Quantum Network Transfer and Storage with Compact Localized States Induced by Local Symmetries.

- Physics, MedicinePhysical review letters
- 2019

A method to equip any network featuring static perfect state transfer of single-site excitations with compact localized states, thus increasing the storage ability of these networks, and it is shown that these compact localization states can likewise be perfectly transferred through the corresponding network by suitable, time-dependent modifications.

Compact localized states and flat bands from local symmetry partitioning

- Physics
- 2018

We propose a framework for the connection between local symmetries of discrete Hamiltonians and the design of compact localized states. Such compact localized states are used for the creation of…

Artificial flat band systems: from lattice models to experiments

- Physics
- 2018

Abstract Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation,…

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