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Open Quantum Systems Decoherence

Dynamics and energy spectra of aperiodic discrete-time quantum walks

arXiv
Authors: C. V. Ambarish, N. Lo Gullo, Th. Busch, L. Dell'Anna, C. M. Chandrashekar

Year

2016

Paper ID

42419

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2016 reference point for readers tracking recent quantum research.
  • Deterministically aperiodic sequences are an intermediary between periodic sequences and completely random sequences.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1611.04427 [2] arXiv https://arxiv.org/abs/1611.04427 [3] Publisher https://arxiv.org/abs/1611.04427

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