非线性PT对称系统：自发对称性破缺与透射共振
Nonlinearly-PT-symmetric systems: spontaneous symmetry breaking and transmission resonances
摘要：
我们引入了一类PT对称系统，它包含了相互匹配的非线性损耗和增益（换句话说，这是一类PT不变的Hamilton系统，其中的调和部分和非调和部分都是非Hermitian的）.对于一个基本系统的形式的二聚体，对称和非对称的本征态，包括多稳态的，被发现解析。我们证明，如果耦合到一个线性链，这样的非线性PT对称二聚体产生新类型的非线性共振，与完全抑制或大大放大的传输，以及一个政权类似的电磁感应透明（EIT）。该系统的实施是可能的，在各种媒体承认可控的线性和非线性放大波。
英文摘要：
We introduce a class of PT-symmetric systems which include mutually matched nonlinear loss and gain (inother words, a class of PT-invariant Hamiltonians in which both the harmonic and anharmonic parts are non-Hermitian). For a basic system in the form of a dimer, symmetric and asymmetric eigenstates, including multistable ones, are found analytically. We demonstrate that, if coupled to a linear chain, such a nonlinear PT-symmetric dimer generates new types of nonlinear resonances, with the completely suppressed or greatly amplified transmission, as well as a regime similar to the electromagnetically-induced transparency (EIT). The implementation of the systems is possible in various media admitting controllable linear and nonlinear amplification of waves.
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