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arXiv quant-ph/0404048quant-phcond-mat.soft
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三角形光晶格中的有效三体相互作用

Effective three-body interactions in triangular optical lattices

Jiannis K. Pachos, Enrique Rico

摘要:

我们证明了一个三角形的光晶格的两个原子物种,玻色子或费米子,可以用来产生各种新的自旋1/2哈密顿量。这些包括有效的三自旋相互作用,这是由于原子沿着两条不同路径隧穿的可能性。这种相互作用可以用来模拟具有基态的特定的一维或二维物理系统,所述基态具有丰富的结构并经历各种量子相变。此外,隧穿可以通过采用拉曼跃迁来激活,从而产生不保留每个物种的原子数的有效哈密顿量。在外部电磁场的存在下,导致复杂的隧道耦合,我们得到有效的哈密顿破坏手征对称性。这些哈密顿量的基态可用于几何或拓扑对象的物理实现。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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