Physics – Quantum Physics
Scientific paper
2004-04-07
Phys. Rev. A 70, 053620 (2004)
Physics
Quantum Physics
10 pages, 5 figures, REVTEX. Experimental implementation elaborated, brief study of ground states given
Scientific paper
10.1103/PhysRevA.70.053620
We demonstrate that a triangular optical lattice of two atomic species, bosonic or fermionic, can be employed to generate a variety of novel spin-1/2 Hamiltonians. These include effective three-spin interactions resulting from the possibility of atoms tunneling along two different paths. Such interactions can be employed to simulate particular one or two dimensional physical systems with ground states that possess a rich structure and undergo a variety of quantum phase transitions. In addition, tunneling can be activated by employing Raman transitions, thus creating an effective Hamiltonian that does not preserve the number of atoms of each species. In the presence of external electromagnetic fields, resulting in complex tunneling couplings, we obtain effective Hamiltonians that break chiral symmetry. The ground states of these Hamiltonians can be used for the physical implementation of geometrical or topological objects.
Pachos Jiannis K.
Rico Enrique
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