The sub-barrier pairs of energy levels of a Hermitian one-dimensionalsymmetric double well potential are known to merge into one, if the inter-welldistance ($a$) is increased slowly. The energy at which the doublets merge arethe ground state eigenvalues of independent wells ($\epsilon_0$). We show thatif the double well is perturbed mildly by a complex PT-symmetric potential themerging of levels turns into the coalescing of two levels at an exceptionalpoint $a=a_*$. For $a>a_*$, the real part of complex-conjugate eigenvaluescoincides with $\epsilon_0$ again. This is an interesting and rare connectionbetween the two phenomena in two domains: Hermiticity and complex PT-symmetry.
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机译：如果井间距离（$ a $）缓慢增加，则埃尔米特一维对称双阱势能的子势垒对已知会合并为一个。双峰合并的能量是独立井的基态特征值（$ \ epsilon_0 $）。我们表明，如果双井受到复杂的PT对称势的轻度扰动，则级别的合并会变成两个级别在例外点$ a = a _ * $的合并。对于$ a> a _ * $，复共轭特征值的实部再次与$ \ epsilon_0 $重叠。这是两个领域中的两种现象之间的一种有趣而稀有的联系：隐性和复杂的PT对称性。
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