Studying the 2D physics utilising a harmonic synthetic dimension; from topologically robust edge-states to how unique interactions effect vortex

利用调和合成维度研究二维物理；

基本信息

批准号：
2450603
负责人：
金额：
--
依托单位：
University of Birmingham
依托单位国家：
英国
项目类别：
Studentship
财政年份：
2020
资助国家：
英国
起止时间：
2020 至无数据
项目状态：
未结题

来源：
https://gtr.ukri.org/projects?ref=studentship-2450603
关键词：
Studying 2D physics utilising harmonic

项目摘要

title continued: lattice ground statesMy research focuses on a harmonic synthetic dimension which can be implemented in combinationwith real space dimensions to realise novel 2D physics. These dimensions are effective tools whichcan be used to induce artificial gauges into various different charge neutral platforms, mimickingeffects magnetic fields have on solid state systems, in a highly controllable way. For cold atomplatforms, the always present, internal harmonic states of their confining traps can be coupled toconstruct one such synthetic dimension. This specific synthetic dimension has many sites allowingaccess to bulk physics and unique long range interactions acting in synthetic space. With thetunability of the harmonic synthetic dimension we can effectively study interesting 2D physics bycombining it with optical lattices or a free continuous dimension inside the harmonic trap. In theformer case, we take the tight-binding limit essentially constructing a discrete 2D lattice wherewe study the vortex lattice ground-states and how the interactions in the harmonic dimensioneffect them. The lattice case, in collaboration with ongoing experiment in Birmingham, we experimentallyseek to identify clear topological edge-states in the 2D set-up. The robustness of suchstates, guaranteed by topological invariants, are particularly of interest for long term applicationto quantum technologies - justifying the plethora of interest in such states in the field of quantumsimulation. Overall, the combination of tunability of cold atom platforms and synthetic dimensionsallows us to access a broad set of physical phenomena which we study theoretically in tandem withexperiment.

标题续：晶格基础状态研究的重点是谐波合成维度，该维度可以与真实空间维度结合实现，以实现新颖的2D物理学。这些尺寸是有效的工具，可用于将人工仪诱导到各种不同的电荷中性平台中，模仿磁场在固态系统上具有高度可控的方式。对于冷含量，始终存在的，可以将其束缚陷阱的内部谐波状态结合起来，以构造一个这样的合成维度。该特定的合成维度具有许多位点，使核心可以散装物理和在合成空间中作用的独特远程相互作用。借助谐波合成维度的可触发性，我们可以有效地研究有趣的2D物理学，通过光学晶格或谐波陷阱内的自由连续尺寸串通。在Former情况下，我们采用紧密结合的极限，基本上构建了离散的2D晶格，我们研究了涡流晶格基态以及谐波维度效应中的相互作用如何。与伯明翰正在进行的实验合作的晶格案例，我们可以实验性地识别2D设置中的清晰拓扑边缘态。拓扑不变性保证的这种国家的鲁棒性对于长期应用量子技术特别感兴趣 - 证明在量子仿真领域，在此类状态下的兴趣过多。总体而言，冷原子平台的可调性和合成维度的可调性结合在一起，使我们访问了一系列的物理现象，我们在理论上与经验一起研究。