Effects of Berry Curvature on the Collective Modes of Ultracold Gases

Hannah M. Price and Nigel R. Cooper
Phys. Rev. Lett. 111, 220407 – Published 27 November 2013

Abstract

Topological energy bands have important geometrical properties described by the Berry curvature. We show that the Berry curvature changes the hydrodynamic equations of motion for a trapped Bose-Einstein condensate, and causes significant modifications to the collective mode frequencies. We illustrate our results for the case of two-dimensional Rashba spin-orbit coupling in a Zeeman field. Using an operator approach, we derive the effects of Berry curvature on the dipole mode in very general settings. We show that the sizes of these effects can be large and readily detected in experiment. Collective modes therefore provide a sensitive way to measure geometrical properties of energy bands.

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  • Received 20 June 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.220407

© 2013 American Physical Society

Authors & Affiliations

Hannah M. Price and Nigel R. Cooper

  • TCM Group, Cavendish Laboratory, J. J. Thomson Avenue, Cambridge CB3 0HE, United Kingdom

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Issue

Vol. 111, Iss. 22 — 27 November 2013

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