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… 

Figures and Tables from this paper

Photonic flat band dynamics
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
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
Flat-band localization and self-collimation of light in photonic crystals
TLDR
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
  • B. Pal
  • Physics
    Physical 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
TLDR
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
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
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.
TLDR
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
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
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,
...
1
2
...

References

SHOWING 1-10 OF 60 REFERENCES
Introduction to solid state physics
Mathematical Introduction Acoustic Phonons Plasmons, Optical Phonons, and Polarization Waves Magnons Fermion Fields and the Hartree-Fock Approximation Many-body Techniques and the Electron Gas
Quantum discrete breathers
We review recent studies about quantum discrete breathers. We describe their basic properties in comparison with their classical counterparts, and the ways they may be addressed theoretically in
Quantum Statistical Properties of Radiation
Dirac Formulation of Quantum Mechanics. Elementary Quantum Systems. Operator Algebra. Quantization of the Electromagnetic Field. Interaction of Radiation with Matter. Quantum Theory of
Quantum Theory: Concepts and Methods
Preface. Part I: Gathering the Tools. 1. Introduction to Quantum Physics. 2. Quantum Tests. 3. Complex Vector Space. 4. Continuous Variables. Part II: Cryptodeterminism and Quantum Inseparability. 5.
Bell's theorem
The origins of this topic is a famous paper by Einstein, Rosen and Podolsky (EPR) in 1935; its title was Can Quantum-Mechanical Description of Physical Reality be Considered Complete? They considered
Opt
Many graphics and vision problems can be expressed as non-linear least squares optimizations of objective functions over visual data, such as images and meshes. The mathematical descriptions of these
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
APPL
Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variables
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
...
1
2
3
4
5
...