Nonequilibrium Floquet Steady States of Time-Periodic Driven Luttinger Liquids,Physical Review Letters

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Nonequilibrium Floquet Steady States of Time-Periodic Driven Luttinger Liquids
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-06-17 , DOI: 10.1103/physrevlett.126.243401
Serena Fazzini ₁ , Piotr Chudzinski _{2,

3} , Christoph Dauer ₁ , Imke Schneider _{1,

4} , Sebastian Eggert ₁

Affiliation

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 nonequilibrium steady states in terms of a Floquet-Bogoliubov ansatz and known analytic functions. Complex valued Floquet eigenenergies occur when integer multiples of the 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 power-law correlations to dominant collective density wave excitations at the corresponding wave numbers as the frequency is lowered below a characteristic cutoff.

中文翻译：

时间周期驱动的 Luttinger 液体的非平衡 Floquet 稳态

时间周期驱动促进了大量新颖的量子态和量子工程。Floquet 状态和强相互作用的相互作用特别有趣，我们使用一维量子气体中的时间周期场进行研究，该气体由具有周期性变化相互作用的 Luttinger 液体建模。通过开发时间周期算子代数，我们能够根据 Floquet-Bogoliubov ansatz 和已知解析函数求解和分析非平衡稳态的完整集合。当驱动频率的整数倍近似匹配色散能量的两倍时，就会出现复值 Floquet 特征能量，这对应于共振状态。

更新日期：2021-06-17

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