论文标题
从慢速到快速子系统的散射抑制,并在强烈相互作用的系统中引起浮动驱动的杂质的应用
Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
论文作者
论文摘要
我们研究了Lippmann-Schwinger方程的解决方案,其中缓慢的子系统通过杂质耦合到快速子系统。当将高频Floquet驱动的杂质引入低能系统时,这种情况就会出现,但是驾驶频率与高能频带共鸣。与散装驱动器的情况相反,低能量系统中的颗粒被激发到高能带中,我们出人意料地发现,这些激发被抑制以引起驱动的杂质。尽管如此,通过杂质的传播以通用方式的高能带的存在很大,这不取决于高能带的细节。我们将我们的一般结果应用于两个例子,并显示了从低能带中的激发抑制作用到高能带中:a)在费米 - 哈伯德链链中绑定的对稳定性的杂音,这与Hubbard互动和b)在紧密效率的频率中所描述的频率相互共鸣,该杂音在较深的效率上散布了,这是散布的,该速度散布了,这是散布在散布的群组中,这是一个散布的散布,这是散布在散布的范围内,这是散射的,这是一个散布的散布,这是一个散布的散布,这是一个散布的散布,这是一个散射的散布,这是一个散布的频率,这是一个散布的频率,这是一个散布的频率,这是一个散布的频率,这是一个散布的频率。两个最低的能带。
We study solutions to the Lippmann-Schwinger equation in systems where a slow subsystem is coupled to a fast subsystem via an impurity. Such situations appear when a high-frequency Floquet-driven impurity is introduced into a low-energy system, but the driving frequency is at resonance with a high-energy band. In contrast to the case of resonant bulk driving, where the particles in the low-energy system are excited into the high-energy band, we surprisingly find that these excitations are suppressed for resonantly driven impurities. Still, the transmission through the impurity is strongly affected by the presence of the high-energy band in a universal way that does not depend on the details of the high-energy band. We apply our general result to two examples and show the suppression of excitations from the low-energy band into the high-energy band: a) bound pairs in a Fermi-Hubbard chain scattering at a driven impurity, which is at resonance with the Hubbard interaction and b) particles in a deep optical lattice described by the tight-binding approximation, which scatter at a driven impurity, whose driving frequency equals the band gap between the two lowest energy bands.