论文标题
时间周期驱动的Luttinger液体的非平衡浮光稳态
Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
论文作者
论文摘要
时间周期性驾驶促进了大量新型的量子状态和量子工程。 Floquet状态和强烈相互作用的相互作用特别有趣，我们在一维量子气中使用时间周期性磁场进行研究，该量子气体由Luttinger液体建模，并具有定期变化的相互作用。通过开发时间周期性操作员代数，我们能够根据Floquet-Bogoliubov Ansatz和已知的分析功能来解决和分析整个非平衡稳态。当驱动频率的倍数大约匹配的两倍的色散能量时，就会发生复杂的有价值的浮部特征力。在Lieb-Liniger玻色子的实验系统中，我们预测从PowerLaw相关性到相应波数的主要集体密度波激励发生变化，因为频率降低了以下。
Time-periodic driving facilitates a wealth of novel quantum states and quantum engineering. The interplay of Floquet states and strong interactions is particularly intriguing, which we study using time-periodic fields in a one-dimensional quantum gas, modeled by a Luttinger liquid with periodically changing interactions. By developing a time-periodic operator algebra, we are able to solve and analyze the complete set of non-equilibrium steady states in terms of a Floquet-Bogoliubov ansatz and known analytic functions. Complex valued Floquet eigenenergies occur when multiples of driving frequency approximately match twice the dispersion energy, which correspond to resonant states. In experimental systems of Lieb-Liniger bosons we predict a change from powerlaw correlations to dominant collective density wave excitations at the corresponding wave numbers as the frequency is lowered below a characteristic cut-off.
