期刊
CHINESE PHYSICS LETTERS
卷 38, 期 2, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/0256-307X/38/2/024202
关键词
-
资金
- National Natural Science Foundation of China [11975128, 11874225]
Symmetry plays a fundamental role in physics, with different characteristics and effects in non-Hermitian physics. Even-parity symmetries impose strict constraints on scattering coefficients, while odd-parity symmetries such as particle-hole symmetry cannot ensure symmetric scattering.
Symmetry plays fundamental role in physics and the nature of symmetry changes in non-Hermitian physics. Here the symmetry-protected scattering in non-Hermitian linear systems is investigated by employing the discrete symmetries that classify the random matrices. The even-parity symmetries impose strict constraints on the scattering coefficients: the time-reversal (C and K) symmetries protect the symmetric transmission or reflection; the pseudo-Hermiticity (Q symmetry) or the inversion (P) symmetry protects the symmetric transmission and reflection. For the inversion-combined time-reversal symmetries, the symmetric features on the transmission and reflection interchange. The odd-parity symmetries including the particle-hole symmetry, chiral symmetry, and sublattice symmetry cannot ensure the scattering to be symmetric. These guiding principles are valid for both Hermitian and non-Hermitian linear systems. Our findings provide fundamental insights into symmetry and scattering ranging from condensed matter physics to quantum physics and optics.
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