Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field

Jean-Claude Garreau (1) , Véronique Zehnlé (1)

1 PhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523

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 additional modulations generate an artificial gauge field which simulates a magnetic field and imposes the use of the full spinor-four Dirac equation.

Domaines: Physique Quantique [quant-ph]; Dynamique Chaotique [nlin.CD]; Systèmes désordonnés et réseaux de neurones [cond-mat.dis-nn]

Jean-Claude Garreau, Véronique Zehnlé. Analog quantum simulation of the spinor-four Dirac equation with an artificial gauge field. Physical Review A, 2020, 101 (5), ⟨10.1103/PhysRevA.101.053608⟩. ⟨hal-02568089⟩