arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2011.15129cond-mat.quant-gascond-mat.str-el
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周期驱动Luttinger液体的非平衡Floquet定态

Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids

S. Fazzini, P. Chudzinski, C. Dauer, I. Schneider, S. Eggert

摘要:

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是特别有趣的,我们研究使用时间周期场的一维量子气体,模拟的Luttinger液体与周期性变化的相互作用。通过发展一个时间周期算子代数,我们能够解决和分析的完整的非平衡定态的Floquet-Bogoliubov的分析和已知的解析函数。复值Floquet本征能发生时,驱动频率的倍数近似匹配两倍的色散能量,这对应于共振状态。在实验系统的Lieb-Liniger玻色子,我们预测的变化,从幂律相关性占主导地位的集体密度波激发在相应的波数作为频率降低到低于特征截止。

英文摘要:

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.

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