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

Giulio Pettini and Michele Modugno
Phys. Rev. A 83, 013619 – Published 24 January 2011

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 Schrödinger 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.

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  • Received 10 November 2010

DOI:https://doi.org/10.1103/PhysRevA.83.013619

© 2011 American Physical Society

Authors & Affiliations

Giulio Pettini1,* and Michele Modugno2,3

  • 1Dipartimento di Fisica e Astronomia, Università di Firenze, and Istituto Nazionale di Fisica Nucleare, I-50019 Sesto Fiorentino, Italy
  • 2Department of Theoretical Physics and History of Science, Universidad del País Vasco–Euskal Herriko Unibertsitateko, E-48080 Bilbao, Spain
  • 3IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain

  • *pettini@fi.unifi.it

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Vol. 83, Iss. 1 — January 2011

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