Chaos-assisted long-range tunneling for quantum simulation

Maxime Martinez (1, 2) , Olivier Giraud (3) , Denis Ullmo (3) , Juliette Billy (4, 5) , David Guéry-Odelin (4) , Bertrand Georgeot (1, 2) , Gabriel Lemarié (6, 7, 1, 2)

1 LPT - Laboratoire de Physique Théorique
2 ICQ - Cohérence Quantique (LPT)
3 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
4 LCAR - Laboratoire Collisions Agrégats Réactivité
5 AFR-LCAR - Atomes Froids (LCAR)
6 MajuLab
7 CQT - Centre for Quantum Technologies [Singapore]

We present an extension of the chaos-tunneling mechanism to spatially periodic lattice systems. We demonstrate that driving such lattice systems in an intermediate regime of modulation maps them onto tight-binding Hamiltonians with chaos-induced long-range hoppings tn ∝ 1/n between sites at a distance n. We provide numerical demonstration of the robustness of the results and derive an analytical prediction for the hopping term law. Such systems can thus be used to enlarge the scope of quantum simulations in order to experimentally realize long-range models of condensed matter.

Domaines: Physique Quantique [quant-ph]; Science non linéaire [physics]

Maxime Martinez, Olivier Giraud, Denis Ullmo, Juliette Billy, David Guéry-Odelin, et al.. Chaos-assisted long-range tunneling for quantum simulation. Physical Review Letters, 2021, 126, pp.174102. ⟨10.1103/PhysRevLett.126.174102⟩. ⟨hal-02987847⟩