Topological Swing of Bloch Oscillations in Quantum Walks

Lavi K Upreti , C. Evain (1) , S. Randoux (1) , P. Suret (1) , A. Amo (1) , P. Delplace

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

We consider the 2D oriented scattering network defined in the main text, and reproduced in Fig. 1 for the time period of two time-steps. We detail in this section the derivation of the evolution operator, its quasienergies and the center of mass trajectories showing Bloch oscillations.

Domaines: Systèmes mésoscopiques et effet Hall quantique [cond-mat.mes-hall]; Gaz Quantiques [cond-mat.quant-gas]; Optique [physics.optics]; Physique Quantique [quant-ph]

Lavi K Upreti, C. Evain, S. Randoux, P. Suret, A. Amo, et al.. Topological Swing of Bloch Oscillations in Quantum Walks. Physical Review Letters, 2020, 125 (18), ⟨10.1103/PhysRevLett.125.186804⟩. ⟨hal-03041148⟩