Abstract

The authors show how the long-range hopping added on the \alpha-type sites of the one-dimensional modulated Su-Schrieffer-Heeger chain can support a topological edge channel.

Highlights

  • Quantum information processing [1,2,3,4] has become one of the most concerning research hot spots in recent years

  • Based on the concept of the topological state transfer, in Ref. [48], we demonstrate that the gap state induced by the on-site energy and next-nearest-neighbor (NNN) hopping can be used as the topological channel to implement the special topological quantum state transfer, in which the initial state prepared at the right edge can be transferred into the first two sites with approximately equal probabilities

  • Due to the topological protection originating from the energy gap, the present topological router is spontaneously immune to the mild disorder added into the on-site energy and NN hopping

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Summary

INTRODUCTION

Quantum information processing [1,2,3,4] has become one of the most concerning research hot spots in recent years. It is worth noting that the limitation of the adiabatic condition leads the process of the state transfer inevitably to consume many more time resources To handle this obstacle, the accelerated quantum state transfers by dint of the topological edge channels assisted by adiabatic passage [46] and long-range hopping [47] have been proposed recently. [48], we demonstrate that the gap state induced by the on-site energy and next-nearest-neighbor (NNN) hopping can be used as the topological channel to implement the special topological quantum state transfer, in which the initial state prepared at the right edge can be transferred into the first two sites with approximately equal probabilities.

TOPOLOGICAL ROUTER INDUCED BY LONG-RANGE HOPPING
Topological router induced by weak long-range hopping
Topological router induced by strong long-range hopping
Topological router induced by topological interface
EXPERIMENT AND DISCUSSION
Realization of the long-range hopping in the Su-Schrieffer-Heeger chain
Analysis of the adiabatic evolution process for the topological router
CONCLUSIONS
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