dorsal/arxiv
View SchemaEffective three-body interactions in triangular optical lattices
| Authors | Jiannis K. Pachos, Enrique Rico |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404048 |
| URL | https://arxiv.org/abs/quant-ph/0404048 |
| DOI | 10.1103/PhysRevA.70.053620 |
| Journal | Phys. Rev. A 70, 053620 (2004) |
Abstract
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.
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"abstract": "We demonstrate that a triangular optical lattice of two atomic species,\nbosonic or fermionic, can be employed to generate a variety of novel spin-1/2\nHamiltonians. These include effective three-spin interactions resulting from\nthe possibility of atoms tunneling along two different paths. Such interactions\ncan be employed to simulate particular one or two dimensional physical systems\nwith ground states that possess a rich structure and undergo a variety of\nquantum phase transitions. In addition, tunneling can be activated by employing\nRaman transitions, thus creating an effective Hamiltonian that does not\npreserve the number of atoms of each species. In the presence of external\nelectromagnetic fields, resulting in complex tunneling couplings, we obtain\neffective Hamiltonians that break chiral symmetry. The ground states of these\nHamiltonians can be used for the physical implementation of geometrical or\ntopological objects.",
"arxiv_id": "quant-ph/0404048",
"authors": [
"Jiannis K. Pachos",
"Enrique Rico"
],
"categories": [
"quant-ph",
"cond-mat.soft"
],
"doi": "10.1103/PhysRevA.70.053620",
"journal_ref": "Phys. Rev. A 70, 053620 (2004)",
"title": "Effective three-body interactions in triangular optical lattices",
"url": "https://arxiv.org/abs/quant-ph/0404048"
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