Volume 103, Number 1, July 2013
|Number of page(s)||6|
|Published online||18 July 2013|
Berry curvature effects in the Bloch oscillations of a quantum particle under a strong (synthetic) magnetic field
1 Università di Trento, Dipartimento di Fisica - via Sommarive 14, 38123 Povo, Italy, EU
2 Université Grenoble 1/CNRS, Laboratoire de Physique et de Modélisation des Milieux Condensés (UMR 5493) B.P. 166, 38042 Grenoble, France, EU
3 INO - CNR BEC Center and Dipartimento di Fisica, Università di Trento - via Sommarive 14, 38123 Povo, Italy, EU
Received: 14 February 2013
Accepted: 19 June 2013
We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force. An elementary derivation of the Berry curvature effect on the semiclassical trajectory is given as well as an explicit connection to the classical Hall effect in the continuum limit. Perspectives to observe these effects in optical systems using synthetic gauge fields for photons are finally discussed.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 42.82.Et – Waveguides, couplers, and arrays / 73.43.-f – Quantum Hall effects
© EPLA, 2013
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