The TLFTruncated Lévy Flights

Katrijn PutteneersTakuya Kitagawa

Rajeshkumar Mupparapu Mihai Straticiuc

Shivakiran BhakthaSilvia GiudicattiTimo Hartmann

Michael HolynskiMarco Larcher

Stefan RistStephan Tobias Seidel

Quantum Simulation

Surface PlasmonsAn overview

Open questionsCan we learn from Cold atoms?

Cold atoms An overview

Open questions

Quasicrystals

OUTLINEOUTLINE

Applications: State of the art and possibilities

• Electronics, Plasmonics• Photonics• Biomedical• …

Picture from Mark Brongersma

Surface PlasmonsSurface Plasmons

• Electronics, Plasmonics• Photonics → Enhance efficiency of solid state LEDs, photovoltaics, …• Biomedical• …

- Measuring of concentrations- Detection of molecules(biosensors)- Find and fight cancer- Targeted application of drugs- ...

Rice University

Surface PlasmonsSurface PlasmonsApplications: State of the art and possibilities

Theory: State of the art

Macroscopic Maxwell

Assume - Drude metal- Solution:

- Evanescent transverse- Travelling longitudinal

- Macroscopic Maxwell- Hybridisation model

Not looked at the charges

Surface PlasmonsSurface Plasmons

Basic microscopic description

Interaction between light and charges

Theory: The step ahead…Surface PlasmonsSurface Plasmons

e-

Plasmon system Cold atom system

Eg. DalibartLight → excitation

Repulsive interactionCoulomb repulsion

Confining potentialSlab

Cold atomsConduction electrons

Quantum simulator: Quantum simulator: Possible image of theoryPossible image of theory

e-Plasmon system Cold atom system

• Quantum degeneratebosons and fermions

• Arbitrary potentials:– Harmonic (dimensionality)‏– Speckle (disorder, Anderson localization)‏– Periodic and bichromatic (crystals, quasi-crystals)‏

• Tunable interaction– Superfluid to Mott– BEC/BCS crossover– Non-interacting particles

What's up in cold atoms?What's up in cold atoms?

Anderson localization

An example from the lecturesAn example from the lectures

Interactions

AndersonInsulator

Super fluidMott Insulator

Bose-Glass

What happens when we…

• extend to higher dimensionalities

• add correlations of the randompotential

• include long range Interactions

• study Fermionic systems

Exploring the Phase DiagramExploring the Phase DiagramD

isor

der

• Entangled Atoms entering disorderedPotentials

• Mobile Disorder Potentials

Beyond Anderson LocalizationBeyond Anderson Localization

1. The physics of high Tc superconductors2. Spintronics

(dynamical flipping of domain wall chirality)‏

(Interaction between transient and localized particles)‏Simulating strongly correlated dynamicsSimulating strongly correlated dynamics

1. Boson-mediated Fermion interactions2. Photon-mediated interactions

Exploring the new pairing mechanisms for cooper pairsExploring the new pairing mechanisms for cooper pairs

• Behaviour is analogous to Photonic Crystals• Higher the symmetry, more the isotropic gap• Increasing the dielectric contrast, enhances the gap-

midgap ratio.• Fabricated only by lithographic techniques so far.

QuasicrystalsQuasicrystals

• Is bandgap due to Mie resonances?• Any contribution/deviation from Bragg

scattering?• Hyperuniform structures having bandgap?• Formation of quasicrystals in nature?

QuasicrystalsQuasicrystals: Questions: Questions

• Introducing the disorder in quasi crystals, andif still bandgap exists, this can imply it is dueto Mie resonances or otherwise somethingelse…

• Studying structural parameters v/s bandgapmay give answer to the origin of bandgap.

QuasicrystalsQuasicrystals: May be we can try this: May be we can try this……

Thank you all