论文标题
平衡框架揭示了被动系统的隐藏PT对称性
Equilibrium frame reveals hidden PT symmetry of passive systems
论文作者
论文摘要
我们讨论如何引入平衡框架，在该框架中，给定的哈密顿量具有平衡的损失和增益，可以揭示隐藏在耗散系统的非热汉密尔顿人中的PT对称性。被动PT对称性汉密尔顿人，其中仅存在损失，而没有增益，也可以显示出异常的点，就像PT合成系统一样，因此经过广泛的研究。我们证明，可以将其分为PT对称的术语和与Hamiltonian通勤的术语具有隐藏的PT对称性的术语。这些对称性在平衡框架中变得显而易见。我们还表明，在特殊点中具有相同值的本征态的数量通常在初始帧中比平衡框架小。该属性与哈密顿人的第二部分有关。
We discuss how introducing an equilibrium frame, in which a given Hamiltonian has balanced loss and gain terms, can reveal PT symmetry hidden in non-Hermitian Hamiltonians of dissipative systems. Passive PT-symmetric Hamiltonians, in which only loss is present and gain is absent, can also display exceptional points, just like PT-symmetric systems, and therefore are extensively investigated. We demonstrate that non-Hermitian Hamiltonians, which can be divided into a PT-symmetric term and a term commuting with the Hamiltonian, possess hidden PT symmetries. These symmetries become apparent in the equilibrium frame. We also show that the number of eigenstates having the same value in an exceptional point is usually smaller in the initial frame than in the equilibrium frame. This property is associated with the second part of the Hamiltonian.
