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Indexed by:期刊论文

Date of Publication:2016-10-01

Journal:ANNALS OF PHYSICS

Included Journals:SCIE、Scopus

Volume:373

Page Number:286-297

ISSN No.:0003-4916

Key Words:Edge states; Lyapunov control

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-Andre-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. (C) 2016 Elsevier Inc. All rights reserved.