Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems

• URL: http://arxiv.org/abs/2111.00378v1
• Date: Sun, 31 Oct 2021 02:08:37 GMT
• Title: Coupling-induced nonunitary and unitary scattering in anti-PT-symmetric non-Hermitian systems
• Authors: H. S. Xu and L. jin
• Abstract summary: We investigate the properties of two anti-parity-time (anti-PT )-symmetric four-site scattering centers. For the imaginary coupling, the even-parity anti-PT -symmetric scattering center possesses nonunitary scattering. For the real coupling, the odd-parity anti-PT -symmetric scattering center possesses unitary scattering.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the properties of two anti-parity-time (anti-PT )-symmetric four-site scattering centers. The anti-PT -symmetric scattering center may have imaginary couplings, real couplings, and real on-site potentials. The only difference between the two scattering centers is the coupling between two central sites of the scattering center, which plays a crucial role in determining the parity of anti-PT symmetry and significantly affects the scattering properties. For the imaginary coupling, the even-parity anti-PT -symmetric scattering center possesses nonunitary scattering and the difference between the reflection and transmission is unity; for the real coupling, the odd-parity anti-PT -symmetric scattering center possesses unitary scattering and the sum of the reflection and transmission is unity. The coupling-induced different scattering behaviors are verified in the numerical simulations. Our findings reveal that a significant difference in the dynamics can be caused by a slight difference between two similar anti-PT -symmetric non-Hermitian scattering centers.

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