Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices

  title={Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices},
  author={Erez Zohar and Juan Ignacio Cirac and Benni Reznik},
  journal={Reports on Progress in Physics},
Can high-energy physics be simulated by low-energy, non-relativistic, many-body systems such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in particular, they manifest neither local gauge invariance nor Lorentz invariance, which are crucial properties of the quantum field theories which are the building blocks of the standard model of elementary particles. However, it turns out, surprisingly, that there are… 
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