含偶极晶体的扩展哈伯德模型的量子模拟
Quantum Simulations of Extended Hubbard Models with Dipolar Crystals
摘要：
本文研究了原子和偶极分子混合量子气体中晶格模型的实现。我们考虑的情况下，极性分子形成自组装偶极晶格，其中原子或分子的第二种可以移动和散射。在慢粒子和快声子的布朗运动极限下，我们用主方程方法描述了系统动力学，我们发现这适合于我们的系统。在一个广泛的制度的参数，减少动力学的粒子导致物理实现的扩展哈伯德模型与可调的长程相互作用介导的晶体声子。这扩展了量子模拟的概念，强关联系统的冷原子和分子，包括声子动力学，其中所有的耦合参数可以控制的外部领域。
英文摘要：
In this paper we study the realization of lattice models in mixtures of atomic and dipolar molecular quantum gases. We consider a situation where polar molecules form a self-assembled dipolar lattice, in which atoms or molecules of a second species can move and scatter. We describe the system dynamics in a master equation approach in the Brownian motion limit of slow particles and fast phonons, which we find appropriate for our system. In a wide regime of parameters, the reduced dynamics of the particles leads to physical realizations of extended Hubbard models with tuneable long-range interactions mediated by crystal phonons. This extends the notion of quantum simulation of strongly correlated systems with cold atoms and molecules to include phonon-dynamics, where all coupling parameters can be controlled by external fields.
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