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Quantum Simulation of Weyl fermions in Optical Superlattices | | Z. Lan
; N. Goldman
; A. Bermudez
; W. Lu
; P. Ohberg
; | | Date: |
25 Feb 2011 | | Abstract: | Weyl fermions are relativistic particles with a well-defined helicity which
arise in the context of high-energy physics. Here we propose a quantum
simulation of these paradigmatic fermions using multicomponent ultracold atoms
in a two-dimensional square optical lattice. We find that laser-assisted
spin-dependent hopping, specifically tuned to the (2s+1)-dimensional
representations of the su(2) Lie algebra, directly leads to a regime where the
emerging massless excitations correspond to Weyl fermions with arbitrary
pseudospin s. We show that this platform hosts two different phases: a
semi-metallic phase that occurs for half-integer s, and a metallic phase that
contains a flat zero-energy band at integer s. These phases host a variety of
interesting effects, such as multi-refringent Klein tunneling. In addition we
show that the anomalous quantum Hall effect is directly related to the number
of underlying Weyl species and zero modes. | | Source: | arXiv, 1102.5283 | | Services: | Forum | Review | PDF | Favorites | |
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