Preparation of edge states by shaking boundaries
- Department of Physics, Fuzhou University, Fuzhou 350002 (China)
- Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, Sichuan (China)
- School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 (China)
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.
- OSTI ID:
- 22617402
- Journal Information:
- Annals of Physics, Vol. 373; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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