Scattering properties of anti-parity-time symmetric non-Hermitian system

Abstract

We investigate the scattering properties of an anti-parity-symmetric non-Hermitian system. The anti-parity-symmetric scattering center possesses imaginary nearest-neighbor hoppings and real onsite potentials, it has been experimentally realized through dissipative coupling and frequency detuning between atomic spin waves. We find that such anti-parity-symmetric system displays three salient features: Firstly, the reflection and transmission are both reciprocal. Secondly, the reflection and transmission probabilities satisfy R+T=1 or R-T=1, which depends on the parity of the scattering center size. Thirdly, the scattering matrix satisfies (S_z)(S_z)*=I for scattering center with even-site; for scattering center with odd-site, the dynamics exhibits Hermitian scattering behavior, possessing unitary scattering matrix SS†=I.

arXiv comment6 pages, 3 figures

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Cited by in corpus (7)

• Symmetry-Protected Scattering in Non-Hermitian Linear Systems
• Anti-$\mathcal{P}\mathcal{T}$-symmetric Kerr gyroscope
• Pseudo-Hermiticity protects the energy-difference conservation in the scattering
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Unitary Scattering Protected by Pseudo-Hermiticity
• Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders
• Physical relevance of time-independent scattering calculations in non-Hermitian systems: The role of time-growing bound states