论文标题
在时间依赖性的非休假理论中，所有PT-Regimes中的真实能量和浆果阶段
Real energies and Berry phases in all PT-regimes in time-dependent non-Hermitian theories
论文作者
论文摘要
我们证明，遗传学时间依赖性的相互交织的操作员的存在将非属于时间依赖的能量操作员映射到其遗传学结合及其左侧特征状态的权利，保证了瞬时能量的现实。该属性在所有三个$ \ cal {pt} $ - 机制中，在与时间无关的方案中，称为$ \ cal {pt} $ - 对称式制度，特殊点和自发损坏的$ \ cal {pt} $ - 策略。我们还提出了一个经过修改的绝热近似，该近似由能量操作员的瞬时特征态的波形膨胀组成，而不是通常使用的汉密尔顿的特征函数。我们表明，该提议总是导致真正的浆果阶段。我们用两个明确的示例来说明我们的一般建议的工作，以实现时间依赖性的非铁旋转模型。
We demonstrate that the existence of a Hermitian time-dependent intertwining operator that maps the non-Hermitian time-dependent energy operator to its Hermitian conjugate and its right to its left eigenstates guarantees the reality of the instantaneous energies. This property holds throughout all three $\cal{PT}$-regimes, in the time-independent scenario referred to as the $\cal{PT}$-symmetric regime, the exceptional point and the spontaneously broken $\cal{PT}$-regime. We also propose a modified adiabatic approximation consisting of an expansion of the wavefunctions in terms the instantaneous eigenstates of the energy operator, instead of the usually used eigenfunctions of the Hamiltonian. We show that this proposal always leads to real Berry phases. We illustrate the working of our general proposals with two explicit examples for a time-dependent non-Hermitian spin model.
