TY - JOUR
T1 - Artificial magnetic fields in momentum space in spin-orbit-coupled systems
AU - Price, Hannah M
AU - Ozawa, Tomoki
AU - Cooper, Nigel R.
AU - Carusotto, Iacopo
PY - 2015/3/5
Y1 - 2015/3/5
N2 - 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-12 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.
AB - 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-12 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.
UR - http://www.scopus.com/inward/record.url?scp=84924361441&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.91.033606
DO - 10.1103/PhysRevA.91.033606
M3 - Article
AN - SCOPUS:84924361441
SN - 1050-2947
VL - 91
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033606
ER -