TY - JOUR
T1 - Pseudospin and nonlinear conical diffraction in Lieb lattices
AU - Leykam, Daniel
AU - Bahat-Treidel, Omri
AU - Desyatnikov, Anton S.
PY - 2012/9/24
Y1 - 2012/9/24
N2 - We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.
AB - We study linear and nonlinear wave dynamics in the Lieb lattice, in the vicinity of an intersection point between two conical bands and a flat band. We define a pseudospin operator and derive a nonlinear equation for spin-1 waves, analogous to the spin-1/2 nonlinear Dirac equation. We then study the dynamics of wave packets that are associated with different pseudospin states, and find that they are distinguished by their linear and nonlinear conical diffraction patterns.
UR - http://www.scopus.com/inward/record.url?scp=84866660437&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.86.031805
DO - 10.1103/PhysRevA.86.031805
M3 - Article
SN - 1050-2947
VL - 86
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 031805
ER -