Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-05-04
New J. Phys. 14 (2012) 015007
Physics
Condensed Matter
Quantum Gases
24 pages, 6 figures
Scientific paper
10.1088/1367-2630/14/1/015007
We present a proposal for a versatile cold-atom-based quantum simulator of relativistic fermionic theories and topological insulators in arbitrary dimensions. The setup consists of a spin-independent optical lattice that traps a collection of hyperfine states of the same alkaline atom, to which the different degrees of freedom of the field theory to be simulated are then mapped. We show that the combination of bi-chromatic optical lattices with Raman transitions can allow the engineering of a spin-dependent tunneling of the atoms between neighboring lattice sites. These assisted-hopping processes can be employed for the quantum simulation of various interesting models, ranging from non-interacting relativistic fermionic theories to topological insulators. We present a toolbox for the realization of different types of relativistic lattice fermions, which can then be exploited to synthesize the majority of phases in the periodic table of topological insulators.
Bermudez Alejandro
Goldman Nathan
Lewenstein Maciej
Martin-Delgado Miguel Angel
Mazza Leonardo
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