Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics and energy spectra of aperiodic discrete-time quantum walks   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.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg