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: 033606-1  to: 033606-18

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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