Artificial magnetic fields in momentum space in spin-orbit-coupled systems

Year: 2015

Authors: Price HM., Ozawa T., Cooper NR., Carusotto I.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; Univ Cambridge, Cavendish Lab, TCM Grp, Cambridge CB3 0HE, England.

Abstract: The Berry curvature is a geometrical property of an energy band which can act as a momentum-space magnetic field in the effective Hamiltonian of a wide range of systems. We apply the effective Hamiltonian to a spin-1/2 particle in two dimensions with spin-orbit coupling, a Zeeman field, and an additional harmonic trap. Depending on the parameter regime, we show how this system can be described in momentum space as either a Fock-Darwin Hamiltonian or a one-dimensional ring pierced by a magnetic flux. With this perspective, we interpret important single-particle properties, and identify analog magnetic phenomena in momentum space. Finally, we discuss the extension of this work to higher-spin systems, as well as experimental applications in ultracold atomic gases and photonic systems.

Journal/Review: PHYSICAL REVIEW A

Volume: 91 (3)      Pages from: 33606-1  to: 33606-18

More Information: We are grateful to L. Santos for useful discussions. This work was funded by the Autonomous Province of Trento, partially through the Call Grandi Progetti 2012, Project On silicon chip quantum optics for quantum computing and secure communications – SiQuro, by ERC through the QGBE grant, and by EPSRC Grant No. EP/K030094/1.
KeyWords: Berry Phase; Persistent Currents; Semiclassical Dynamics; Quantum-dot; Single; Bands; Rings; Flux; Oscillations; Spectroscopy
DOI: 10.1103/PhysRevA.91.033606

Citations: 5
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