Invariants of broken discrete symmetries.
Invariants of broken discrete symmetries.
复制标题
破缺离散对称性的不变量。
DOI：
10.1103/physrevlett.113.050403
复制
发表时间：
2014
影响因子：
8.6
通讯作者：
P. Schmelcher
中科院分区：
文献类型：
--
作者：
P. Kalozoumis;C. Morfonios;F. Diakonos;P. Schmelcher
宇称和布洛赫定理被推广到全局对称性破缺的情况。一维的局部反转或平移对称性被证明可以产生表征波传播的不变电流。这些电流将波函数从任意空间域映射到任何对称相关域。我们的方法解决了局部对称性的任意组合，因此特别适用于声波、光波和物质波。不变电流的非零值提供了打破离散全局对称性的系统途径。
The parity and Bloch theorems are generalized to the case of broken global symmetry. Local inversion or translation symmetries in one dimension are shown to yield invariant currents that characterize wave propagation. These currents map the wave function from an arbitrary spatial domain to any symmetry-related domain. Our approach addresses any combination of local symmetries, thus applying, in particular, to acoustic, optical, and matter waves. Nonvanishing values of the invariant currents provide a systematic pathway to the breaking of discrete global symmetries.