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arXiv 2105.04429cond-mat.quant-gasnlin.PSphysics.atom-phquant-ph
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合成动量态晶格中的非线性动力学

Nonlinear dynamics in a synthetic momentum state lattice

Fangzhao Alex An, Bhuvanesh Sundar, Junpeng Hou, Xi-Wang Luo, Eric J. Meier, Chuanwei Zhang, Kaden R. A. Hazzard, Bryce Gadway

备注：
6 pages, 3 figures, 3 pages of supplementary material
发表信息：
Phys. Rev. Lett. 127, 130401 (2021)
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摘要：

在过去的几十年里，原子、分子和光学系统的模拟范围已经大大扩展。最近，合成维度的想法-其中运输发生在由场驱动的转换耦合的内部或运动状态所跨越的空间中-在这种扩展中发挥了关键作用。虽然基于合成维度的方法已经导致单粒子哈密顿工程的快速发展，但强相互作用效应在大多数合成维度平台中明显缺失。在这里，在晶格中的耦合原子动量态，我们表明，原子相互作用的结果在大的和定性的变化，在合成维度的动态。我们探讨了非线性相互作用和相干隧穿的相互作用如何丰富了一个单带紧束缚模型的动力学，产生了宏观自陷和相位驱动的约瑟夫森动力学与非正弦电流相位关系，这可以被视为源于非线性能带结构所产生的相互作用。

英文摘要：

The scope of analog simulation in atomic, molecular, and optical systems has expanded greatly over the past decades. Recently, the idea of synthetic dimensions -- in which transport occurs in a space spanned by internal or motional states coupled by field-driven transitions -- has played a key role in this expansion. While approaches based on synthetic dimensions have led to rapid advances in single-particle Hamiltonian engineering, strong interaction effects have been conspicuously absent from most synthetic dimensions platforms. Here, in a lattice of coupled atomic momentum states, we show that atomic interactions result in large and qualitative changes to dynamics in the synthetic dimension. We explore how the interplay of nonlinear interactions and coherent tunneling enriches the dynamics of a one-band tight-binding model, giving rise to macroscopic self-trapping and phase-driven Josephson dynamics with a nonsinusoidal current-phase relationship, which can be viewed as stemming from a nonlinear band structure arising from interactions.

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