Preparation of edge states by shaking boundaries |
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Authors: | ZC Shi SC Hou LC Wang XX Yi |
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Institution: | 1. Department of Physics, Fuzhou University, Fuzhou 350002, China;2. Center for Quantum Sciences and School of Physics, Northeast Normal University, Changchun 130024, China;3. Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, Sichuan, China;4. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China |
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Abstract: | Preparing topological states of quantum matter, such as edge states, is one of the most important directions in condensed matter physics. In this work, we present a proposal to prepare edge states in Aubry–André–Harper (AAH) model with open boundaries, which takes advantage of Lyapunov control to design operations. We show that edge states can be obtained with almost arbitrary initial states. A numerical optimalization for the control is performed and the dependence of control process on the system size is discussed. The merit of this proposal is that the shaking exerts only on the boundaries of the model. As a by-product, a topological entangled state is achieved by elaborately designing the shaking scheme. |
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Keywords: | Edge states Lyapunov control |
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