论文标题
在非热式准晶体中的动态定位
Dynamical localization in non-Hermitian quasi-crystals
论文作者
论文摘要
我们研究了定期驱动的一维非温质晶格中的定位过渡，其中零件的两步驱动是由均匀的相干隧道构成的，并且在现场增益和损失中构成。我们发现，该系统可以根据驾驶频率和复杂电势的相位移位而处于局部，离域或混合相。确定了系统的两个关键驱动频率，第一个对应于复杂电势的最大相移，因此准能量频谱仍然是真实的，所有状态都延长了，第二个状态对应于全真实频谱的消失，并且当驱动频率低于此较大的频率频率低时，非常弱的复杂电位导致了局部状态的出现。在高频限制中，我们发现将两个区域分别与真实和复杂的频谱分开的临界相移趋向于恒定值，该值可以由有效的非官方汉密尔顿人捕获。
We study the localization transition in periodically driven one-dimensional non-Hermitian lattices where the piece-wise two-step drive is constituted by uniform coherent tunneling and incommensurate onsite gain and loss. We find that the system can be in localized, delocalized, or mixed-phase depending on the driving frequency and the phase shift of complex potential. Two critical driving frequencies of the system are identified, the first one corresponds to the largest phase shift of the complex potential so that the quasi-energy spectrum is still real and all the states are extended, the second one corresponds to the disappear of full real spectrum, and very weak complex potential leads to the emergence of localized states when the driving frequency is lower than this critical frequency. In the high frequency limit, we find the critical phase shift that separates the two regions with respectively real and complex spectrum tends to a constant value that can be captured by an effective non-Hermitian Hamiltonian.
