标题： 中微子-反中微子系统的味振荡中量子速度极限的引力影响 显示英文标题

标题： Gravitational Influence on the Quantum Speed Limit in Flavor Oscillations of Neutrino-Antineutrino System

摘要： 我们研究了中微子-反中微子系统在旋转原初黑洞（PBH）引力场影响下的时间演化过程中量子速度极限（QSL）。 我们利用Boyer-Lindquist（BL）坐标，在基本的厄米特Dirac哈密顿量中推导出四矢量引力势的解析表达式。 这一引力势在弯曲时空的Dirac方程中引入了一个轴矢量项，对中微子-反中微子系统的有效质量矩阵作出贡献。 我们的研究表明，以BL坐标表示的引力场显著影响了中微子-反中微子系统的两味振荡中的跃迁概率。 然后，我们将态之间跃迁概率的表达式应用于分析Bures角，该角度量化了时间演化后初始态与最终态之间的接近程度。 我们利用这一概念来探测初始味中微子态时间演化的QSL。 显示英文摘要

摘要： We investigate the quantum speed limit (QSL) during the time evolution of neutrino-antineutrino system under the influence of the gravitational field of a spinning primordial black hole (PBH). We derive an analytical expression for the four-vector gravitational potential in the underlying Hermitian Dirac Hamiltonian using the Boyer-Lindquist (BL) coordinates. This gravitational potential leads to an axial vector term in the Dirac equation in curved spacetime, contributing to the effective mass matrix of the neutrino-antineutrino systems. Our findings indicate that the gravitational field, expressed in BL coordinates, significantly influences the transition probabilities in two-flavor oscillations of the neutrino-antineutrino system. We then apply the expression for transition probabilities between states to analyze the Bures angle, which quantifies the closeness between the initial and final states of the time-evolved flavor state. We use this concept to probe the QSL for the time evolution of the initial flavor neutrino state.