论文标题
拓扑泵送的耦合旋转链阵列
Topological Thouless pumping in arrays of coupled spin chains
论文作者
论文摘要
无泵是通过绝热调节哈密顿量通过拓扑保护颗粒运输的机制。运输的电流是与整数量子大厅效应密切相关的拓扑不变。以前的大多数作品都集中在线性和方格中的拓扑泵送上。在这项工作中，我们从理论上提出了一种机制，可以在具有复杂几何形状的旋转链中进行拓扑泵送。为了实现这一目标，我们考虑了一个阵列，其中旋转链通过其边缘耦合，从而使种群分裂以在不同的自旋链中产生旋转激发的叠加。我们表明，由于拓扑保护，量子叠加可以通过阵列来运输，以抵制疾病的作用。这种方法将为量子技术和信息处理中的潜在应用开放一种新的途径，以运输激发和关联状态。我们的想法可以在最先进的量子模拟器中实现，例如冷原子和超导量子阵列。
Thouless pumping is a mechanism to perform topologically protected transport of particles by adiabatically modulating the Hamiltonian. The transported current is a topological invariant that is intimately related to the integer quantum Hall effect. Most of the previous works focus on topological pumping in linear and square lattices. In this work, we theoretically propose a mechanism to perform topological pumping in arrays of spin chains with complex geometries. To achieve this, we consider an array where the spin chains are coupled through their edges, which allows to split the populations to generate superpositions of spin excitations in different spin chains. We show that due to the topological protection, the quantum superpositions can be transported through the array against the effect of disorder. This approach will open a new avenue to transport excitations and correlated states with potential applications in quantum technologies and information processing. Our ideas can be realized in state-of-the-art quantum simulators such as cold atoms and superconducting qubit arrays.
