环境感知的非高斯振动态横向输运几何
Environment-aware transverse transport geometry for non-Gaussian oscillator states
浏览论文内容
中文总结 AI 辅助
本文提出一种环境感知的局部输运代价，通过截断Fock空间上的方向依赖半范数及算子框架，有效区分相位旋转与退相干，并高效捕获多光子过程。
中文摘要 AI 辅助
非高斯振动态对微弱扰动高度敏感，但可逆的相位旋转与不可逆的环境变化不应被同等加权。我们在截断的Fock空间上引入一种有限维、方向依赖的局部输运代价，并以其对哈密顿量切向方向取商。所得的横向量是一个半范数，而非全局距离。一个加权算子框架指定了物理通量的表示代价。尽管框架({a_M,a_M^\dagger})已张成整个零迹扇区，多光子与对角方向能远更高效地表示选定的Lindblad切向量。对罗盘类态的数值测试表明，相位旋转被移除，仅在对角方向纳入后退相干才变得廉价，且双光子与三光子过程被多光子框架自然捕获。热权重满足算子模协变性，但不定义完整的KMS几何。因此，该构造是一种具有明确截断、正则化与归一化约定的环境感知局部诊断工具。
英文摘要
Non-Gaussian oscillator states are highly sensitive to weak perturbations, but reversible phase rotations and irreversible environmental changes should not be weighted equally. We introduce a finite-dimensional, direction-dependent local transport cost on a truncated Fock space and quotient it by Hamiltonian tangent directions. The resulting transverse quantity is a seminorm, not a global distance. A weighted operator frame specifies the representation cost of physical fluxes. Although the frame ({a_M,a_M^\dagger}) already spans the full trace-zero sector, multiphoton and diagonal directions can represent selected Lindblad tangents much more efficiently. Numerical tests on compass-like states show that phase rotations are removed, dephasing becomes inexpensive only after diagonal directions are included, and two- and three-photon processes are naturally captured by multiphoton frames. Thermal weights satisfy an operator-modular covariance but do not define a complete KMS geometry. The construction is therefore an environment-aware local diagnostic with explicit cutoff, regularization, and normalization conventions.
