有吸收边界的Feynman积分

Energy-Time Uncertainty Relation for Absorbing Boundaries

We prove the uncertainty relation $σ_T \, σ_E \geq \hbar/2$ between the time $T$ of detection of a quantum particle on the surface $\partial Ω$ of a region $Ω\subset \mathbb{R}^3$ containing the particle's initial wave function, using the "absorbing boundary rule" for detection time, and the energy $E$ of the initial wave function. Here, $σ$ denotes the standard deviation of the probability distribution associated with a quantum observable and a wave function. Since $T$ is associated with a POVM rather than a self-adjoint operator, the relation is not an instance of the standard version of the…

在线上带有吸收边界的双态纪元量子行走

Quantum Walk on a Line with Absorbing Boundaries

研究了在线上带有两个吸收点的双态纪元量子行走的吸收概率，推导了大系统规模下的闭合公式，并分析了两种极限情况下的吸收概率计算。

Decomposition of the Feynman kernel for a particle in a box

We study the decomposition of the Feynman kernel for a particle in a box with $1/\sin^{2}θ$ potential to find that the wellknown phase factor $-1$, which is correct for the case of the free particle, for reflection at boundaries should be generalized depending on the parameter of the potential.

Conditional Probability Distributions of Finite Absorbing Quantum Walks

Quantum walks are known to have nontrivial interactions with absorbing boundaries. In particular it has been shown that an absorbing boundary in the one dimensional quantum walk partially reflects information, as observed by absorption probability computations. In this paper, we shift our sights from the local phenomena of absorption probabilities to the global behavior of finite absorbing quantum walks in one dimension. We conduct our analysis by approximating the eigenbasis of the associated absorbing quantum walk operator matrix Q_n where n is the lattice size. The conditional probability d…

1D-qt-ideal-solver：具有吸收边界的1D理想量子隧穿求解器

1d-qt-ideal-solver: 1D Idealized Quantum Tunneling Solver with Absorbing Boundaries

1d-qt-ideal-solver是一个用于模拟理想相干条件下一维量子隧穿动力学的开源库，采用分裂运算方法和复吸收势，验证了矩形和高斯屏障的传输特性，适用于教学和初步研究。

开放混沌系统的量子局域化

Quantum Localization in Open Chaotic Systems

本文研究了$δ$ -被踢转子系统的准Floquet态，重点研究了开放量子系统中动力学局域化的性质。当接近吸收边界时，有耗准Floquet态的局域化长度$ξ$减小，而相应的衰减速率$Γ$显著增加.我们发现了关系$ξ\sim Γ^{-1/2}$，并解释它的基础上有限时间扩散，这也可以应用到随机酉算子模型。我们猜想，这一思想对同时表现出经典动力学中的扩散和量子力学中的指数局域化的系统是有效的。

自旋-动量阻抗与自旋耦合吸收边界条件的滤波效应

Spin-Momentum Impedance and Filtering by a Spin-Coupled Absorbing Boundary Condition

研究自旋耦合吸收边界对Pauli粒子的作用，揭示其表现为自旋-动量阻抗，通过边界诱导滤波机制影响探测通量和检测时间。

Absorption Probabilities of Quantum Walks

Quantum walks are known to have nontrivial interaction with absorbing boundaries. In particular, Ambainis et.\ al.\ \cite{ambainis01} showed that in the $(\Z ,C_1,H)$ quantum walk (one-dimensional Hadamard walk) an absorbing boundary partially reflects information. These authors also conjectured that the left absorption probabilities $P_n^{(1)}(1,0)$ related to the finite absorbing Hadamard walks $(\Z ,C_1,H,\{ 0,n\} )$ satisfy a linear fractional recurrence in $n$ (here $P_n(1,0)$ is the probability that a Hadamard walk particle initialized in $|1\rangle |R\rangle$ is eventually absorbed at $…

在量子计算机上利用复吸收势高效求解非幺正含时薛定谔方程

Efficient solution of the non-unitary time-dependent Schrodinger equation on a quantum computer with complex absorbing potential

本文提出用 dilation 量子算法在单储层量子比特上并行处理实时与虚时演化，以实现带复吸收势的非幺正含时薛定谔方程，并显著降低门复杂度。

双纠缠粒子线上的离散量子行走

Discrete Quantum Walk on a Line with Two Entangled Particles

对离散双粒子量子行走进行了综述。利用同一粒子的不同态，以及纠缠和叠加的思想，探索了两粒子量子行走的有趣动力学。边界条件可以描述某些动力学性质，因此对周期边界条件（圆）进行了综述。阿达玛行走的模拟不同时期的一个圆圈被认为是和结果进行比较，为各种时期和吸收边界的情况下。

传导电子光学反射、衍射与散射的费曼光子路径积分计算

Feynman photon path integral calculations of optical reflection, diffraction, and scattering from conduction electrons

本文利用费曼光子路径积分计算传导电子对光子的反射、衍射和散射概率，通过五个典型例子揭示不同几何与厚度条件下的干涉行为，并解释低温n型GaAs闪烁光子逃逸全内反射的机制。

基于吸收的量子行走中位移量子比特估计

Absorption-Based Qubit Estimation in Discrete-Time Quantum Walks

该研究通过单个吸收边界实现量子行走中位移量子比特的高效估计，利用谱方法获得逃逸概率和Fisher信息，提出了一种集成光子学实现方案，展示了吸收在量子行走中作为硬币状态计量的简单和可扩展方法。