Quantized vortices mediated optimization

詹姆斯将研究凝聚态物质和复杂性理论之间的界面。在他的研究中，他将分析由玻璃耦合相互作用驱动的非平衡系统的淬火动力学。这种动力学在具有铁磁相互作用的二维和三维系统中被很好地理解，其中拓扑缺陷如二维的点涡和三维的涡环驱动过渡。最近对冷原子和极化子凝聚体的实验显示了相互作用在符号、强度和范围上的控制，为研究任何维度的玻璃系统奠定了基础。了解拓扑缺陷在这些系统中所起的作用是构建能够最小化通用自旋哈密顿量的模拟模拟器的关键。

James will be working on the interface between condensed matter and complexity theories. In his research, he will analyse the quench dynamics of nonequilibrium systems driven by glassy coupling interactions. Such dynamics are well understood in two-dimensional and three-dimensional systems with ferromagnetic interactions where the topological defects such as point vortices in 2D and vortex rings in 3D drive the transition. Recent experiments on cold atoms and polariton condensates show control of the interactions in sign, intensity and range creating a basis for studying glassy systems of any dimensionality. Understanding the role played by the topological defects in these systems is the key in constructing analogue simulators capable of minimising universal spin Hamiltonians.