发表机构
Faculdade de Educação, Ciências e Letras de Iguatu; Universidade Estadual do Ceará; Departamento de Física, Universidade Federal da Paraíba（伊瓜图教育、科学与文学学院; 塞阿拉州立大学; 帕拉伊巴联邦大学物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究各向异性引力脉冲在平行板间狄拉克场中产生的费米子卡西米尔记忆，通过Bogoliubov系数计算沉积能量，发现非单调压力修正且符号两次变化。
AI 中文摘要
我们研究了在两个静态平行板之间受限的无质量狄拉克场中，由弱、空间均匀的各向异性引力脉冲在晚期沉积的能量。该场满足MIT袋边界条件，而预设的几何结构在两个渐近时间区域均趋近于闵可夫斯基时空。利用四元组表述，我们证明了线性自旋联络贡献在无迹各向异性情况下相互抵消，仅留下与狄拉克应力张量剪切分量的耦合。该脉冲产生真实的费米-反费米子对，其沉积能量通过相应的Bogoliubov系数进行评估。减去无界空间中的产生率后，可分离出一个有限的、依赖于边界的贡献，该贡献由脉冲持续时间相对于由MIT能隙设定的特征谱时间尺度决定。在绝热区域中，该贡献为负，此时受限效应抑制了相对于连续自由谱的激发，并在脉冲极限下从上方趋近于零。由此产生的压力修正呈非单调性，并出现两次符号变化，交替增强和削弱普通的卡西米尔引力。与先前针对同类背景获得的玻色子真空极化记忆不同，本效应是一种由引力产生的粒子对所携带的耗散性费米子记忆。在此，记忆指的是脉冲消失后量子态的持续晚期修正。
英文摘要
We investigate the late-time energy deposited by a weak, spatially homogeneous anisotropic gravitational pulse in a massless Dirac field confined between two static parallel plates. The field satisfies MIT bag boundary conditions, while the prescribed geometry approaches Minkowski spacetime in both asymptotic time regions. Using a tetrad formulation, we show that the linear spin-connection contribution cancels for the traceless anisotropy, leaving a coupling to the shear component of the Dirac stress tensor. The pulse produces real fermion--antifermion pairs, whose deposited energy is evaluated through the corresponding Bogoliubov coefficients. Subtracting the production in unbounded space isolates a finite boundary-dependent contribution governed by the pulse duration relative to the characteristic spectral timescale set by the MIT gap. This contribution is negative in the adiabatic regime, where confinement suppresses excitations relative to the continuous free spectrum, and approaches zero from above in the impulsive limit. The resulting pressure correction is nonmonotonic and exhibits two sign changes, alternately reinforcing and reducing the ordinary attractive Casimir force. Unlike the bosonic vacuum-polarization memory previously obtained for the same class of backgrounds, the present effect is a dissipative fermionic memory carried by gravitationally created pairs. Here, memory denotes the persistent late-time modification of the quantum state after the pulse has vanished.
Comments14 pages, 1 figure
