高斯量子光驱动的格点电子的弗洛凯格林函数
Floquet Green's functions for lattice electrons driven by Gaussian quantum light
- Tohoku University（东北大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究构建了高斯量子光驱动格点电子的弗洛凯格林函数理论框架，经数值计算发现量子光源可带来超出经典驱动的修正，为量子弗洛凯工程提供支撑。
AI中文摘要：
我们针对由库稳定的单模高斯量子光源驱动的非相互作用单带格点电子，构建了弗洛凯格林函数。该光源由外部设定，且不被多电子极化更新，而主动电子探针仍通过佩尔斯耦合调控光源演化。格林函数的两个时间自变量共享一段光源历史： lesser 和 greater 分量通过将共享历史的四端点核与连续浴核卷积，再经最终光源迹线得到；浴的正则反对易关系给出等时协方差，为延迟和超前单腿传播提供初始条件。在预设光源模型中，佩尔斯耦合被非微扰处理，且在适当极限下可恢复经典弗洛凯理论。对最简一维模型的数值计算显示，超出预设经典驱动的有限耦合量子光源修正，以及压缩真空和压缩相干源的谱重建与占据数再分布。压缩参数和相位提供了超出经典振幅调制的额外调控旋钮，可同时调控边带结构和占据权重。本工作为利用外部预设量子光源进行凝聚态的量子弗洛凯工程提供了理论框架。
英文摘要：
We formulate Floquet Green's functions for noninteracting single-band lattice electrons driven by a reservoir-stabilized single-mode Gaussian quantum light source. The source is prescribed externally and is not updated by the many-electron polarization, while an active electronic probe still conditions the source evolution through the Peierls coupling. The two time arguments of a Green's function share one source history: the lesser and greater components are obtained by convolving a shared-history four-endpoint kernel with the continuous bath kernels before the final source trace, while the bath canonical anticommutation relation yields an equal-time covariance that seeds the retarded and advanced one-leg propagations. The Peierls coupling is treated nonperturbatively within the prescribed-source model, and classical Floquet theory is recovered in the appropriate limit. Numerical calculations on a minimal one-dimensional model show finite-coupling quantum-source corrections beyond a prescribed classical drive, together with spectral reconstruction and occupancy redistribution for squeezed vacuum and squeezed coherent sources. The squeezing parameter and phase provide additional control knobs, beyond classical amplitude modulation, for both sideband structure and occupied weight. This work provides a theoretical framework for quantum Floquet engineering of condensed matter with an externally prescribed quantum light source.
