发表机构
Boston University（波士顿大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文用 PT-TEMPO 方法研究周期驱动对称自旋-玻色子模型的耗散几何相位，发现驱动可依时间尺度抑制或增强热库效应，并揭示 Floquet 谱调控主导耗散路径，为控制开放量子系统几何相位提供新手段。
AI 中文摘要
基于 Wang 等人近期关于自旋-玻色子模型（SBM）中耗散几何相位（GP）的工作，本文采用数值精确的过程张量-时间演化矩阵乘积算符（PT-TEMPO）方法，研究了周期性驱动的对称 SBM 的 GP 动力学。一个对称的二能级系统受到沿其与欧姆型玻色子环境耦合的同一系统坐标的纵向单色驱动，展现出由驱动与耗散相互作用产生的丰富 GP 动力学。为分离驱动-热库协同效应，引入了一个非加性 GP 贡献，将驱动耗散响应从其驱动幺正分量和未驱动耗散分量中区分出来。研究发现，周期性驱动根据驱动与热库时间尺度的相互作用，可抑制或增强热库诱导的 GP 变形。这些趋势通过 Floquet 谱调控来解释，即驱动在准能量边带之间重新分配相干动力学，而这些边带的跃迁频率和傅里叶分辨的系统-热库矩阵元决定了它们与环境谱的耦合。Floquet 分析表明，主要的耗散路径由 Floquet 矩阵元权重和热库谱重叠共同决定，而非仅由其中任一单独决定。这些结果将 Floquet 工程、量子耗散和 GP 动力学联系起来，并确立了周期性驱动作为控制开放量子系统（OQSs）GP 的一种手段。
英文摘要
The geometric phase (GP) of a periodically driven symmetricspin-boson model (SBM) is investigated using the process-tensor time-evolving matrix product operator (PT-TEMPO) method. A longitudinal monochromatic field drives the qubit along the \emph{same} coordinate that couples to an Ohmic bosonic environment. The gauge-invariant kinematic GP is evaluated from the reduced-statetrajectory, and a circular non-additivity measure quantifies the combined effects of driving and dissipation relative to driven-unitary and undriven-dissipative references. Amplitude, frequency, coupling-strength, and bath-cutoff sweeps reveal regimes in which periodic driving reduces or enhances environmental phase deformation relative to the unitary counterpart. The one-cycle GP exhibits pronounced nonmonotonic drive frequency dependence, while its bath-induced shift depends sensitively on both coupling strength and cutoff. These trends are interpreted qualitatively in terms of Floquet dressing and bath spectral structure. A two-cycle echo provides a complementary reversibility diagnostic, whose persistence signal does not generally measure the Tong GP. The results characterize the non-additive influence of driving and dissipation on geometric-phase dynamics and identify parameter regimes of reduced bath-induced deformation.
