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The competition between staggered imaginary potentials and latticedimerization results in a unidirectional propagating coalescing state of anon-Hermitian Su-Schrieffer-Heeger (SSH) ring at an exceptional point. Asegment of the SSH ring inherits the unidirectional feature and exhibits someintriguing dynamic behaviors when it is embedded in a Hermitian chain as a$\mathcal{PT}$-symmetric scattering center. Based on the Bethe ansatzscattering solution for the interface between Hermitian and non-Hermitianregions, we show that the SSH scattering center supports the followingwave-packet dynamics. (i) A left incident wave packet is allowed perfecttransmission, while a right incident wave packet stimulates an amplifiedreflecting wave train with the length proportional to the size of the SSHsegment. Accordingly, a unidirectional invisibility of Bragg scatterers isobserved when a multi-SSH segment is considered. (ii) A left incident wavepacket can be well confined in a SSH segment if the right lead is removed.(iii) In addition, a wave packet is perfectly absorbed when its size closes tothe length of the SSH segment. The underlying mechanism stems from a subtleproperty of the SSH segment, which supports two quasicoalescing wave packetsbut with opposite group velocities. Our findings are applicable to the schemesof realizing quantum state storage, quantum diode, and lasing device.

Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment