Custodial Chiral Symmetry in a Su-Schrieffer-Heeger Electrical Circuit with Memory
Custodial Chiral Symmetry in a Su-Schrieffer-Heeger Electrical Circuit with Memory
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DOI：
10.1103/physrevlett.128.097701
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发表时间：
2022-03-04
影响因子：
8.6
通讯作者：
Chien, Chih-Chun
中科院分区：
文献类型：
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作者：
Di Ventra, Massimiliano;Pershin, Yuriy, V;Chien, Chih-Chun
保管对称性在粒子物理学的标准模型中很常见。当对参数的量子修正与参数本身成正比时，它们就会出现。在这里，我们证明了手性型的保管对称也存在于经典的具有记忆的Su-Schrieffer-Heeger （SSH）电路中。在内存不足的情况下，SSH电路支持对称保护的拓扑边缘状态。记忆诱发非线性，明显地打破手性对称，并在整个电路中传播状态。然而，所得到的状态仍然不受随后的监护性手性对称的扰动。这些预测可以通过实验验证，并证明对称与记忆之间的相互作用。
Custodial symmetries are common in the standard model of particle physics. They arise when quantum corrections to a parameter are proportional to the parameter itself. Here, we show that a custodial symmetry of the chiral type is also present in a classical Su-Schrieffer-Heeger (SSH) electrical circuit with memory. In the absence of memory, the SSH circuit supports a symmetry-protected topological edge state. Memory induces nonlinearities that break chiral symmetry explicitly and spread the state across the circuit. However, the resulting state is still protected against perturbations by the ensuing custodial chiral symmetry. These predictions can be verified experimentally and demonstrate the interplay between symmetry and memory.