Excitation Transmission through a non-Hermitian traversable wormhole

Abstract

This study explores the intricate real-time dynamics of a non-Hermitian system composed of two interconnected Sachdev-Ye-Kitaev (SYK) models. A central finding reveals that an excitation initially localized in the right SYK subsystem can be efficiently transmitted to the left subsystem subsequent to the characteristic scrambling time, a phenomenon facilitated by the intrinsic non-Hermitian nature of the system. The defining hallmark of non-Hermiticity is manifest in the asymmetric conveyance of quantum states, with the non-Hermitian parameter functioning as a tunable knob that selectively amplifies or dampens propagation modes on either side. Despite this inherent directional bias in state transfer, the system sustains two distinct phases, analogously likened to black holes and wormholes.