Title :

Synthesizing dispersion relations in a modulated tilted optical lattice

Author(s) :

Garreau, Jean-Claude [Auteur]
Atomes Froids [Atomes Froids]
Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 [PhLAM]
Zehnlé, Véronique [Auteur]

Journal title :

Physical Review A

Publisher :

American Physical Society

Publication date :

2022-01-25

ISSN :

2469-9926

HAL domain(s) :

Physique [physics]/Matière Condensée [cond-mat]/Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]
Science non linéaire [physics]/Dynamique Chaotique [nlin.CD]
Physique [physics]/Physique Quantique [quant-ph]

English abstract : [en]

Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The ...
Show more >Dispersion relations are fundamental characteristics of the dynamics of quantum and wave systems. In this work we introduce a simple technique to generate arbitrary dispersion relations in a modulated tilted lattice. The technique is illustrated by important examples: the Dirac, Bogoliubov and Landau dispersion relations (the latter exhibiting the roton and the maxon). We show that adding a slow chirp to the lattice modulation allows one to reconstruct the dispersion relation from dynamical quantities. Finally, we generalize the technique to higher dimensions, and generate graphene-like Dirac points and flat bands in two dimensions.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Localisation à N corps avec le Kicked Rotor

Comment :

9 pages, 6 color figures, submitted to Phys. Rev. A

Collections :

• Laboratoire de Physique des Lasers, Atomes et Molécules (PhLAM) - UMR 8523

Source :

Harvested from HAL