Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain

doi:10.1088/1674-1056/ac7bfe

中国物理B ›› 2023, Vol. 32 ›› Issue (2): 20301-020301.doi: 10.1088/1674-1056/ac7bfe

Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain

Xi-Xi Bao(包茜茜)¹, Gang-Feng Guo(郭刚峰)¹, and Lei Tan(谭磊)^1,2,†

1 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China;
2 Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China

收稿日期:2022-04-20 修回日期:2022-06-10 接受日期:2022-06-27 出版日期:2023-01-10 发布日期:2023-01-10
通讯作者: Lei Tan E-mail:tanlei@lzu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11874190, 61835013, and 12047501), and the Supercomputing Center of Lanzhou University.

Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain

Xi-Xi Bao(包茜茜)¹, Gang-Feng Guo(郭刚峰)¹, and Lei Tan(谭磊)^1,2,†

1 Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China;
2 Key Laboratory for Magnetism and Magnetic Materials of the Ministry of Education, Lanzhou University, Lanzhou 730000, China

Received:2022-04-20 Revised:2022-06-10 Accepted:2022-06-27 Online:2023-01-10 Published:2023-01-10
Contact: Lei Tan E-mail:tanlei@lzu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11874190, 61835013, and 12047501), and the Supercomputing Center of Lanzhou University.

摘要/Abstract

摘要： An extended Su-Schrieffer-Heeger (SSH) model containing four periods of the hopping coefficients, called SSH4 model, is constructed to explore robust quantum state transfer. The gap state protected by the energy gap plays the role of the topological channel where the particle initially located at the last lattice site has the probability to arise at the first and all even lattice sites equally. Serving those sites as ports, a multi-port router can be realized naturally, and the fidelity reaches unity in a wide range of parameters under the long chain and random disorder. Further, when we reduce the third intracell hopping to a small value, the occupancy probability of the second lattice site in every unit cell will reduce to zero, by which a new topological router can be induced. In addition, our SSH4 model can work as a 1/3 beam splitter. Namely, the particle initially occupies the first lattice site and finally appears with equal probability at three lattice sites. We can also realize a 1/2 beam splitter. Our four-period SSH model provides a novel way for topological quantum information processing and can engineer two kinds of quantum optical devices.

关键词: topological state transfer, robust, high fidelity

Abstract: An extended Su-Schrieffer-Heeger (SSH) model containing four periods of the hopping coefficients, called SSH4 model, is constructed to explore robust quantum state transfer. The gap state protected by the energy gap plays the role of the topological channel where the particle initially located at the last lattice site has the probability to arise at the first and all even lattice sites equally. Serving those sites as ports, a multi-port router can be realized naturally, and the fidelity reaches unity in a wide range of parameters under the long chain and random disorder. Further, when we reduce the third intracell hopping to a small value, the occupancy probability of the second lattice site in every unit cell will reduce to zero, by which a new topological router can be induced. In addition, our SSH4 model can work as a 1/3 beam splitter. Namely, the particle initially occupies the first lattice site and finally appears with equal probability at three lattice sites. We can also realize a 1/2 beam splitter. Our four-period SSH model provides a novel way for topological quantum information processing and can engineer two kinds of quantum optical devices.

Key words: topological state transfer, robust, high fidelity

中图分类号: (Phases: geometric; dynamic or topological)

03.65.Vf

03.67.-a (Quantum information) 05.60.Gg (Quantum transport)

Xi-Xi Bao(包茜茜), Gang-Feng Guo(郭刚峰), and Lei Tan(谭磊). Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain[J]. 中国物理B, 2023, 32(2): 20301-020301.

Xi-Xi Bao(包茜茜), Gang-Feng Guo(郭刚峰), and Lei Tan(谭磊). Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain[J]. Chin. Phys. B, 2023, 32(2): 20301-020301.

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Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain

Engineering topological state transfer in four-period Su-Schrieffer-Heeger chain

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