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26 April 2024
 
  » arxiv » 1308.0750

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Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
M. Burrello ; I.C. Fulga ; E. Alba ; L. Lepori ; A. Trombettoni ;
Date 3 Aug 2013
AbstractWe analyze a tight-binding model of ultracold fermions loaded in an optical square lattice and subjected to a synthetic non-Abelian gauge potential featuring both a magnetic field and a translational invariant SU(2) term. We consider in particular the effect of broken time-reversal symmetry and its role in driving non-trivial topological phase transitions. By varying the spin-orbit coupling parameters, we find both a semimetal/insulator phase transition and a topological phase transition between insulating phases with a different number of edge states. The spin is not a conserved quantity of the system and the topological phase transitions can be detected by analyzing its polarization in time of flight images, providing a clear diagnostics for the characterization of the topological phases through the partial entanglement between spin and lattice degrees of freedom.
Source arXiv, 1308.0750
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