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Anomalous Bloch oscillations in one-dimensional parity-breaking periodic potentials

2010/11/10 by Giulio Pettini, Michele Modugno, M. Modugno
Physics and Astronomy · #Bloch oscillations #Cold Atom Physics and Bose-Einstein Condensates #Mechanical and Optical Resonators #Nonlinear Photonic Systems #Parity (physics) #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Wave packet #cond-mat.quant-gas #hep-ph #quant-ph

paper · pdf · doi:10.1103/physreva.83.013619

8 pages, 10 figures

arxiv created 2010/11/10 · openalex publication_date 2011/01/24 · arxiv updated 2012/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the dynamics of a wave packet in a parity-breaking one-dimensional periodic potential slowly varied in time and perturbed by a linear potential. Parity is broken by considering an asymmetric double well per unit cell. By comparing the prediction of the semiclassical dynamics with the full Schr"odinger solution, we show that Bloch oscillations are strongly affected by anomalous velocity corrections related to Berry's phase. We characterize how these effects depend on the degree of parity breaking of the potential and on the modulation parameters. We also discuss how to measure the effects of the anomalous velocity in current experiments with noninteracting Bose-Einstein condensates in bichromatic optical lattices, under the effect of gravity.

Citations