Zitterbewegung of Dirac quasiparticles emerged in a Su-Schrieffer–Heeger lattice

doi:10.1088/1674-1056/abb45b

中国物理B ›› 2020, Vol. 29 ›› Issue (11): 110302-.doi: 10.1088/1674-1056/abb45b

Yue Hu(胡玥)¹, Zheng-Xin Guo(郭政鑫)¹, Ze-Ming Zhong(钟泽明)¹^,²^,†(), Zhi Li(李志)¹^,^‡()

收稿日期:2020-06-09 修回日期:2020-07-23 接受日期:2020-09-02 出版日期:2020-11-05 发布日期:2020-11-03

Zitterbewegung of Dirac quasiparticles emerged in a Su-Schrieffer–Heeger lattice

Yue Hu(胡玥)¹, Zheng-Xin Guo(郭政鑫)¹, Ze-Ming Zhong(钟泽明)^{1,2, †}, and Zhi Li(李志)^{1,, ‡}

1 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong Provincial Engineering Technology Research Center for Quantum Precision Measurement, SPTE, South China Normal University, Guangzhou 510006, China
2 School of Materials Science and Engineering, Guangdong Provincial Key Laboratory of Advanced Energy Storage Materials, South China University of Technology, Guangzhou 510641, China

Received:2020-06-09 Revised:2020-07-23 Accepted:2020-09-02 Online:2020-11-05 Published:2020-11-03
Contact: ^†Corresponding author. E-mail: zhongzeming_scut@163.com ^‡Corresponding author. E-mail: lizhi_nju@163.com
Supported by:
the National Key Research and Development Program of China (Grant Nos. 2016YFA0301803 and 2016YFA0302800), the National Natural Science Foundation of China (Grant Nos. 11604103, 11704132, 11822403, and 91636218), the NSAF, China (Grant Nos. U1801661 and U1830111), the PCSIRT, China (Grant No. IRT1243), the Natural Science Foundation of Guangdong Province, China (Grant Nos. 2016A030313436, 2018A030313322, and 2018A0303130066), the KPST of Guangzhou (Grant No. 201804020055), China Postdoctoral Science Foundation (Grant No. 2018M633063), and the Startup Foundation of SCNU.

摘要/Abstract

Abstract:

We analytically and numerically investigate the dynamical properties of the tilted dispersion relativistic quasiparticles emerged in a cold atomic optical lattice system. By introducing the next nearest neighboring (NNN) hopping term into Su–Schrieffer–Heeger (SSH) model, the Dirac quasiparticles with tilted dispersion relation are realized. The results show that the tilted dispersion causes a drift in relativistic quasiparticles rather than affecting interference behavior between inner states. To be specific, the relativistic phenomena of the quasiparticles induced by the inner state interference (such as Zitterbewegung, Klein paradox, etc.) is completely unaffected by the tilted dispersion. In order to distinguish the drift induced by tilted dispersion and common initial velocity, we calculate the momentum distribution of the relativistic quasiparticles. We obtain the difference between the drift induced by initial velocity and tilted dispersion. The former affects the ZB, while the latter does not. By using this character, we propose a quench dynamics scheme to obtain a stable mono-spin state. The proposed cold atomic lattice system would provide a promising platform in exploring the intrinsic exotic physics of relativistic quasiparticles and the related systems.

Key words: tilted dispersion, wave-packet dynamics, quantum quench

Yue Hu(胡玥), Zheng-Xin Guo(郭政鑫), Ze-Ming Zhong(钟泽明), Zhi Li(李志). [J]. 中国物理B, 2020, 29(11): 110302-.

Yue Hu(胡玥), Zheng-Xin Guo(郭政鑫), Ze-Ming Zhong(钟泽明), and Zhi Li(李志). Zitterbewegung of Dirac quasiparticles emerged in a Su-Schrieffer–Heeger lattice[J]. Chin. Phys. B, 2020, 29(11): 110302-.

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Zitterbewegung of Dirac quasiparticles emerged in a Su-Schrieffer–Heeger lattice

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