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Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice
Jean Claude Garreau, Véronique Zehnlé
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 rela…
Bogoliubov excitations in the quasiperiodic kicked rotor: stability of a kicked condensate and the quasi-insulator-metal transition
Benoit Vermersch, Dominique Delande, Jean Claude Garreau
We study the dynamics of a Bose-Einstein condensate in the quasiperiodic kicked rotor described by a Gross-Pitaevskii equation with periodic boundary conditions. As the interaction…
Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field
Jean Claude Garreau, Véronique Zehnlé
A two-dimensional spatially and temporally modulated Wannier-Stark system of ultracold atoms in optical lattices is shown to mimic the behavior of a Dirac particle. Suitable additi…
Experimental realization of an ideal Floquet disordered system
Clément Hainaut, Adam Rançon, Jean-François Clément +5
The atomic Quantum Kicked Rotor is an outstanding "quantum simulator" for the exploration of transport in disordered quantum systems. Here we study experimentally the phase-shifted…
Emergence of nonlinear behavior in the dynamics of ultracold bosons
Benoit Vermersch, Jean Claude Garreau
We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral…
Anderson transition of Bogoliubov quasiparticles in the quasiperiodic kicked rotor
Benoit Vermersch, Dominique Delande, Jean Claude Garreau
We study the dynamics of Bogoliubov excitations of a Bose-Einstein condensate in the quasiperiodic kicked rotor. In the weakly interacting regime, the condensate is stable and both…