PT Symmetry and Spontaneous Symmetry Breaking in a Microwave Billiard
PT Symmetry and Spontaneous Symmetry Breaking in a Microwave Billiard
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DOI：
10.1103/physrevlett.108.024101
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发表时间：
2012-01-10
影响因子：
8.6
通讯作者：
Schaefer, F.
中科院分区：
文献类型：
--
作者：
Bittner, S.;Dietz, B.;Schaefer, F.
我们证明了在异常点（EP）附近的耗散微波台球的非厄米二态哈密顿量的奇偶时间（PT）对称性的存在。台球的形状取决于两个参数。哈密顿量是由在参数平面的细网格上测量的共振谱确定的。在对哈密顿函数施加一个纯虚的对角位移后，它的特征值在经过EP的曲线上要么是实的要么是复共轭的。一个合适的基选择揭示了它的PT对称性。自发对称性破缺发生在电位处。
We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The shape of the billiard depends on two parameters. The Hamiltonian is determined from the measured resonance spectrum on a fine grid in the parameter plane. After applying a purely imaginary diagonal shift to the Hamiltonian, its eigenvalues are either real or complex conjugate on a curve, which passes through the EP. An appropriate basis choice reveals its PT symmetry. Spontaneous symmetry breaking occurs at the EP.