PT对称电子
PT-Symmetric Electronics
摘要：
我们从理论上和实验上表明，一对感应耦合有源LRC电路（二聚体），一个放大和另一个具有等量的衰减，显示所有的功能，其特点是广泛的一类非厄米特系统的联合奇偶时间PT运营商：典型的正常模式，时间演化和散射过程。利用Liouvilian公式，我们可以定义一个潜在的PT对称哈密顿量，这为理解系统的行为提供了重要的见解。当PT-二聚体耦合到传输线，所得的散射信号揭示了新的功能，反映了PT对称性的散射目标。具体来说，我们表明，该设备可以同时显示两种不同的行为，放大器或吸收器，这取决于询问波的方向和相位关系。由于具有精确的理论，并且由于其相对实验简单，PT对称电子学提供了对处于数学物理和相关领域研究前沿的PT对称系统的性质的新见解。
英文摘要：
We show both theoretically and experimentally that a pair of inductively coupled active LRC circuits (dimer), one with amplification and another with an equivalent amount of attenuation, display all the features which characterize a wide class of non-Hermitian systems which commute with the joint parity-time PT operator: typical normal modes, temporal evolution, and scattering processes. Utilizing a Liouvilian formulation, we can define an underlying PT-symmetric Hamiltonian, which provides important insight for understanding the behavior of the system. When the PT-dimer is coupled to transmission lines, the resulting scattering signal reveals novel features which reflect the PT-symmetry of the scattering target. Specifically we show that the device can show two different behaviors simultaneously, an amplifier or an absorber, depending on the direction and phase relation of the interrogating waves. Having an exact theory, and due to its relative experimental simplicity, PT-symmetric electronics offers new insights into the properties of PT-symmetric systems which are at the forefront of the research in mathematical physics and related fields.
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