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Title: Topological phenomena in periodically driven quantum systems
Keywords: Topological, Adiabatic, Symmetry, Bulk-edge, Chiral
Issue Date: 23-Jan-2014
Citation: HO YEW HUNG DEREK (2014-01-23). Topological phenomena in periodically driven quantum systems. ScholarBank@NUS Repository.
Abstract: In this thesis, we study topological effects occurring in periodically driven quantum systems. We first report an intriguing connection between the topology and dynamics of a periodically driven system in the form of a novel topologically quantized transport in momentum space. We then examine the relationship between the topology of two different periodically driven models and find the surprising result that the two models possess a direct mapping between one another for a wide range of experimental conditions. Next, we study bulk-boundary correspondence of lattice-analogues of these two models and find that they display surprisingly different edge state behaviour. We provide theoretical explanations for these differences. We also find that one of the models is able to host an arbitrarily large number of protected edge states, a finding with potential usefulness for quantum information processing.
Appears in Collections:Ph.D Theses (Open)

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