Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diverse tunable dynamics of two quantum random walkers   Quantum walk research has mainly focused on evolutions due to repeated
applications of time-independent unitary coin operators. However, the idea of
controlling the single particle evolution using time-dependent unitary coins
has still been a subject of multiple studies as it not only hosts interesting
possibilities for quantum information processing but also opens a much richer
array of phenomena including static and dynamic localizations. So far, such
studies have been performed only for single quantum walkers. In case of
multi-walker systems, time-dependent coins may generate measurable phenomena
not described by the single-particle model, due to entanglement and interaction
among the walkers. In this context, we present here a thorough numerical study
of an one dimensional system of two quantum walkers exhibiting rich collective
dynamics controlled by simple time-dependent unitary coins proposed in [Phys.
Rev. A \textbf{80}, 042332(2009)] and [Phys. Rev. A \textbf{73},062304(2006)].
We study how the interplay of coin time-dependence, simple interaction schemes,
entanglement and the relative phase between the coin states of the particles
influences the evolution of the quantum walk. The results show that the system
offers a rich variety of collective dynamical behavior while being controlled
by time dependent coins. In particular, we find and characterize fascinating
two-body localization phenomena with tunable quasiperiodic dynamics of
correlations and entanglements which are quantities of quantum origin.

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The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol