| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Symmetry-Protected Scattering in Non-Hermitian Linear Systems |
| L. Jin* and Z. Song |
| School of Physics, Nankai University, Tianjin 300071, China |
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| Cite this article: |
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L. Jin and Z. Song 2021 Chin. Phys. Lett. 38 024202 |
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Abstract 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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Received: 01 December 2020
Published: 04 January 2021
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11975128 and 11874225). |
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