Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-10-08
New J.Phys.13:035002,2011
Physics
Condensed Matter
Quantum Gases
v2: minor changes, references added, iopstyle, 20 pages
Scientific paper
10.1088/1367-2630/13/3/035002
We argue that the Fermi-Hubbard Hamiltonian describing the physics of ultracold atoms on optical lattices in the presence of artificial non-Abelian gauge fields, is exactly equivalent to the gauge theory Hamiltonian describing Dirac fermions in the lattice. We show that it is possible to couple the Dirac fermions to an "artificial" gravitational field, i.e. to consider the Dirac physics in a curved spacetime. We identify the special class of spacetime metrics that admit a simple realization in terms of a Fermi-Hubbard model subjected to an artificial SU(2) field, corresponding to position dependent hopping matrices. As an example, we discuss in more detail the physics of the 2+1D Rindler metric, its possible experimental realization and detection.
Boada O.
Celi Alessio
Latorre Jose Ignacio
Lewenstein Maciej
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