发表机构
Hefei National Research Center for Physical Sciences at the Microscale, University of Science and Technology of China（合肥微尺度物质科学国家研究中心，中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种统计准粒子理论的算子表述，将耗散子构造为热场浴空间中的集体算子，通过递归广义威克定理处理非线性耦合，统一线性和非线性系统-浴相互作用，实现非微扰非马尔可夫动力学的层次方程自动生成。
AI 中文摘要
我们针对具有非线性系统-浴耦合的开放量子系统，发展了统计准粒子理论的算子表述，将其扩展到标准高斯影响泛函表述的线性耦合设置之外。对于高斯浴，统计准粒子（称为耗散子）被明确地构造为热场浴空间中的集体算子。我们的构造为耗散子代数提供了微观算子基，并直接从刘维尔方程生成层次运动方程。非线性相互作用通过递归的广义威克定理纳入，使得多项式耦合的层次方程能够自动生成。所得到的框架将显式浴算子表示与非微扰、非马尔可夫动力学联系起来，并统一了线性和非线性系统-浴相互作用的处理。
英文摘要
We develop an operator formulation of statistical quasiparticle theory for open quantum systems with nonlinear system-bath coupling, extending beyond the linear coupling setting of the standard Gaussian influence functional formulation. For Gaussian baths, the statistical quasiparticles, termed dissipatons, are explicitly constructed as collective operators in the thermofield bath space. Our construction provides a microscopic operator basis for the dissipaton algebra and generates hierarchical equations of motion directly from the Liouville equation. Nonlinear interactions are incorporated through a recursive generalized Wick's theorem, enabling automatic generation of hierarchical equations for polynomial couplings. The resulting framework connects explicit bath operator representations to nonperturbative, non-Markovian dynamics and unifies the treatment of linear and nonlinear system-bath interactions.
Comments18 pages, 0 figure
