论文标题
边缘状态的Floquet工程在存在交错的潜力和相互作用的情况下
Floquet engineering of edge states in the presence of staggered potential and interactions
论文作者
论文摘要
我们研究了一个定期驱动的电场的效果，该电场应用于一个维度上的多种紧密结合模型。我们首先考虑一个非相互作用的系统，有或没有交错的现场电位，我们发现定期驾驶可以产生完全或部分局部的局部状态，附近有限大小的系统的末端。根据系统参数，此类状态具有位于批量状态特征值的外部或连续体内部或内部的浮雕特征值；只有在前一种情况下，我们才会发现这些状态完全位于末端，并且是真正的边缘状态。然后，我们考虑一个具有现场哈伯德相互作用的两个玻色粒颗粒的系统，并表明定期驱动的电场可以生成在系统末端定位的两个粒子状态。我们表明，可以使用Floquet扰动理论来理解其中的许多效果，该理论在巨大的交错势或大相互作用强度的极限下有效。这些效果中的一些也可以通过考虑时间独立的哈密顿人来定性地理解，这些哈密顿在边缘的地点有潜力。这些类似的哈密顿人有效地出现在对驱动问题的Floquet-Magnus分析中。最后，我们讨论如何通过测量系统的差分电导率来检测到通过定期驾驶非相互作用系统产生的边缘状态。
We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that periodic driving can generate states localized completely or partially near the ends of a finite-sized system. Depending on the system parameters, such states have Floquet eigenvalues lying either outside or inside the continuum of eigenvalues of the bulk states; only in the former case we find that these states are completely localized at the ends and are true edge states. We then consider a system of two bosonic particles which have an on-site Hubbard interaction and show that a periodically driven electric field can generate two-particle states which are localized at the ends of the system. We show that many of these effects can be understood using a Floquet perturbation theory which is valid in the limit of large staggered potential or large interaction strength. Some of these effects can also be understood qualitatively by considering time-independent Hamiltonians which have a potential at the sites at the edges; Hamiltonians of these kind effectively appear in a Floquet-Magnus analysis of the driven problem. Finally, we discuss how the edge states produced by periodic driving of a non-interacting system of fermions can be detected by measuring the differential conductance of the system.
