论文标题
在PT破裂阶段，非铁汉顿人的风味特征状态的过渡概率
Transition Probabilities for Flavor Eigenstates of Non-Hermitian Hamiltonians in the PT-Broken Phase
论文作者
论文摘要
我们研究了两级量子系统中“风味”本征态的过渡概率，该系统由具有奇偶校验和时间逆转（PT）对称性的非热汉密尔顿人描述。特别是，我们专注于所谓的PT折叠阶段，那里的两个非热汉密尔顿人的特征值被证明是一对复杂的共轭对。在这种情况下，我们发现过渡概率将在无限时间$ t \ to +\ infty $的限制下不受限制。然而，在非热系统（表现出被动的PT平衡和全球衰变）以及粒子物理学中的中性梅森系统之间进行连接后，我们观察到过渡概率的不同行为实际上适用于量表转移的中性态状态，而近日状态则由近日抑制均受到全球抑制。我们还对所谓的特殊点进行了简短的审查，其中汉密尔顿联合的特征值和特征向量均已。
We investigate the transition probabilities for the "flavor" eigenstates in the two-level quantum system, which is described by a non-Hermitian Hamiltonian with the parity and time-reversal (PT) symmetry. Particularly, we concentrate on the so-called PT-broken phase, where two eigenvalues of the non-Hermitian Hamiltonian turn out to be a complex conjugate pair. In this case, we find that the transition probabilities will be unbounded in the limit of infinite time $t \to +\infty$. However, after performing a connection between a non-Hermitian system, which exhibits passive PT-symmetry and global decay, and the neutral-meson system in particle physics, we observe that the diverging behavior of the transition probabilities is actually applicable to the gauge-transformed neutral-meson states, whereas the transition probabilities for physical states are exponentially suppressed by the global decay. We also present a brief review on the situation at the so-called exceptional point, where both the eigenvalues and eigenvectors of the Hamiltonian coalesce.
