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arXiv 1412.7175cond-mat.quant-gasnucl-th
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一维阱中超冷原子可调谐开放量子系统的调谐理论

Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps

R. Lundmark, C. Forssén, J. Rotureau

摘要:

利用低维阱中的超冷原子建立可调谐开放量子系统的实验正在变得可行。特别是,对这些系统的高度实验控制允许详细研究隧道动力学,例如,作为捕获几何形状和颗粒间相互作用强度的函数。为了解决这个令人兴奋的机会,我们提出了一个理论框架的基础上操纵希尔伯特空间制定的两体隧穿。在这种方法中,绑定,共振和散射状态包括在一个平等的基础上,我们认为,所有这些组件的耦合是至关重要的正确描述相关的阈值现象。特别地,我们研究了在一维陷阱和不同的相互作用制度的两体系统的隧穿机制。我们发现一个强大的优势,单粒子的顺序隧穿排斥和弱吸引力的系统,而有一个签名的相关对隧穿在计算的多粒子通量强吸引力的粒子间相互作用。

英文摘要:

The creation of tunable open quantum systems is becoming feasible in current experiments with ultracold atoms in low-dimensional traps. In particular, the high degree of experimental control over these systems allows detailed studies of tunneling dynamics, e.g., as a function of the trapping geometry and the interparticle interaction strength. In order to address this exciting opportunity we present a theoretical framework for two-body tunneling based on the rigged Hilbert space formulation. In this approach, bound, resonant and scattering states are included on an equal footing, and we argue that the coupling of all these components is vital for a correct description of the relevant threshold phenomena. In particular, we study the tunneling mechanism for two-body systems in one-dimensional traps and different interaction regimes. We find a strong dominance of sequential tunneling of single particles for repulsive and weakly attractive systems, while there is a signature of correlated pair tunneling in the calculated many-particle flux for strongly attractive interparticle interaction.

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