Demonstration of reversed non-Hermitian skin effect via quantum walks on a ladder

Abstract

Quantum walks hold enormous potential applications in various areas such as quantum computing and quantum simulation. Discrete-time quantum walks on a ladder offer greater prospects compared to traditional quantum walks, especially in addressing physical problems in higher-dimension coupled systems. Here we give an experimental proposal of quantum walks on a two-leg ladder using linear optics, and further apply it to non-Hermitian systems by introducing loss-based non-unitary evolutions. Non-Hermitian systems under nonreciprocity-induced evolution present an exotic phenomenon, known as the non-Hermitian skin effect (NHSE). In a two-leg non-Hermitian system with the same preferred direction of NHSE, the direction has recently been found to reverse when interchain couplings are introduced. Based on quantum walks on a ladder, we also propose an experimentally feasible scheme to demonstrate the direction reversal of NHSE. Through the simulated results we show that particles on each chain accumulate to the preferred boundary driven by nonreciprocal hopping, while particles are transported in the opposite direction when interchain hopping is allowed, clearly demonstrating the existence of reversed NHSE. Our work further expands the application of the quantum walk platform and opens a door for the experimental investigation of reversed NHSE.

Multiple skin transitions in two-band non-Hermitian systems with long-range nonreciprocal hopping

“…Additionally, non-Hermiticity realization is mainly based on nonreciprocal hoppings and on-site gain-loss [2,15,16]. They exhibit unique features beyond the limits of Hermitian systems, such as exceptional points [17], non-Hermitian skin effect (NHSE) [18,19], topological semimetal phase [20], and link or knot structures [21].…”