冷原子光晶格中非阿贝尔拓扑物质的模拟
Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices
摘要：
某些提出的扩展玻色-哈伯德模型可能表现出拓扑有序的基态，激发服从非阿贝尔辫子统计。哈伯德参数的充分调整可以产生激发编织规则，允许实现拓扑保护的量子门的通用集合。我们讨论了在实现一个模型与建议的非阿贝尔拓扑有序的基态使用光晶格包含玻色子偶极子的潜在困难。我们的直接实施方案没有实现必要的各向异性跳跃，各向异性相互作用，和低温。
英文摘要：
Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian topologically ordered ground state using optical lattices containing bosonic dipoles. Our direct implementation scheme does not realize the necessary anisotropic hopping, anisotropic interactions, and low temperatures.
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