Pseudospin and nonlinear conical diffraction in Lieb lattices

Daniel Leykam, Omri Bahat-Treidel, Anton S. Desyatnikov

Research output: Contribution to journalArticle

39 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number031805
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume86
Issue number3
DOIs
Publication statusPublished - Sep 24 2012
Externally publishedYes

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Dirac equation
diffraction
wave packets
intersections
nonlinear equations
diffraction patterns
operators

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Pseudospin and nonlinear conical diffraction in Lieb lattices. / Leykam, Daniel; Bahat-Treidel, Omri; Desyatnikov, Anton S.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 86, No. 3, 031805, 24.09.2012.

Research output: Contribution to journalArticle

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