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Quantum Information Processing

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01-10-2023

A novel method to realize quantum spin-phonon Hall insulator in a one-dimensional superconducting resonator lattice

Authors: Yi-Ping Wang, He Wang

Published in: Quantum Information Processing | Issue 10/2023

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Abstract

We propose a theoretical method to study the topological properties of spin-phonon coupled modes (SPCMs) in a one-dimensional superconducting resonator lattice, where each unit cell is composed of superconducting resonators and nitrogen-vacancy (NV) spins. By diagonalization and dimensionality reduction methods, a quantum spin-phonon Hall insulator system can be obtained. Here, the coupling strength is extended to explore the topological stage by controlling the number of photons and the NV spin ensemble. Therefore, the different topological structures can be displayed by adjusting the coupling parameters. We find that the distribution of edge states can undergo an inversion process, realizing topological quantum channel transmission. In addition, we also discuss the topological index of the topological phase, in which the different topological phases of this system can be distinguished. Furthermore, when considering the impact of dissipation and disorder, we find that the edge states are still very stable, which indicates that the edge states are topologically protected. This work provides an effective way to study the topological insulators of the spin and the phonon, which will promote the development of quantum simulation and quantum computing.

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Title: A novel method to realize quantum spin-phonon Hall insulator in a one-dimensional superconducting resonator lattice
Authors: Yi-Ping Wang
He Wang
Publication date: 01-10-2023
Publisher: Springer US
Published in: Quantum Information Processing / Issue 10/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04117-8

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