Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion

• URL: http://arxiv.org/abs/2009.04176v1
• Date: Wed, 9 Sep 2020 09:22:59 GMT
• Title: Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Authors: Hao-Qing Zhang, Ming-Zhong Ai, Jin-Ming Cui, Yong-Jian Han, Chuan-Feng Li, Guang-Can Guo
• Abstract summary: We propose a novel scheme to realize the quantum walk with a single trapped ion. Our scheme offers the unique opportunity to investigate the dynamics of the bound states of the corresponding topological systems.
• Score: 0.09033868044784943
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The quantum walk (QW), as the quantum analog of classical random walk, provides a feasible platform to study the topological phenomenon and non-equilibrium dynamics. Here, we propose a novel scheme to realize the quantum walk with a single trapped ion where the Fock states provides the walk space and zero phonon state $\left|n=0\right\rangle $ serves as its natural boundary. Thus, our scheme offers the unique opportunity to investigate the dynamics of the bound states of the corresponding topological systems. Particularly, the quench dynamics of the bound states can be extensively studied by tuning the bulk parameters and the local boundary operator, which are experimentally accessible. Our proposal not only offers a new approach to exploring the character of the bound states of the topological systems, but also offers a way to determine different phases through the dynamical processes.

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