Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-05-18
Phys.Rev.A84:011611,2011
Physics
Condensed Matter
Quantum Gases
4 pages
Scientific paper
10.1103/PhysRevA.84.011611
We propose an experimentally feasible setup with ultracold alkaline earth atoms to simulate the dynamics of U(1) lattice gauge theories in 2+1 dimensions with a Chern-Simons term. To this end we consider the ground state properties of spin-5/2 alkaline earth fermions in a honeycomb lattice. We use the Gutzwiller projected variational approach in the strongly repulsive regime in the case of filling 1/6. The ground state of the system is a chiral spin liquid state with $2\pi/3$ flux per plaquette, which spontaneously violates time reversal invariance. We demonstrate that due to the breaking of time reversal symmetry the system exhibits quantum Hall effect and chiral edge states. We relate the experimentally accessible spin fluctuations to the emerging gauge field dynamics. We discuss also properties of the lowest energy competing orders.
Lewenstein Maciej
Szirmai Edina
Szirmai Gergely
Zamora Alejandro
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