Dynamics and energy spectra of aperiodic discrete-time quantum walks
arXiv:1611.04427 · doi:10.1103/PhysRevE.96.012111
Abstract
Deterministically aperiodic sequences are an intermediary between periodic sequences and completely random sequences. Materials which are translationally periodic have Bloch-like extended states, while random media exhibit Anderson localisation. Materials constructed on the basis of deterministic aperiodic sequences such as Fibonacci, Thue-Morse, and Rudin-Shapiro exhibit different properties, which can be related to their spectrum. Here, by investigating the dynamics of discrete-time quantum walks using different aperiodic sequences of coin operations in position space and time we establish the role of the diffraction spectra in characterizing the spreading of the wavepacket.
12 pages, 18 figures
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- Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
- Transport in the non-ergodic extended phase of interacting quasiperiodic systems
- Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
- Optimizing the spatial spread of a quantum walk
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- Anderson localization without eigenstates in photonic quantum walks
- Influence of generic quantum coins on the spreading and entanglement in binary aperiodic quantum walks
- Response to glassy disorder in coin on spread of quantum walker
- Crystalline Spectral Form Factors
- Characterization of anomalous diffusion in one-dimensional quantum walks
- Enhanced spreading in continuous-time quantum walks using aperiodic temporal modulation of defects