Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical Localization of Coupled Relativistic Kicked Rotors   A periodically driven rotor is a prototypical model that exhibits a
transition to chaos in the classical regime and dynamical localization (related
to Anderson localization) in the quantum regime. In a recent work [Phys. Rev. B
94, 085120 (2016)], A. C. Keser et al. considered a many-body generalization of
coupled quantum kicked rotors, and showed that in the special integrable linear
case, dynamical localization survives interactions. By analogy with many-body
localization, the phenomenon was dubbed dynamical many-body localization. In
the present work, we study nonintegrable models of single and coupled quantum
relativistic kicked rotors (QRKRs) that bridge the gap between the conventional
quadratic rotors and the integrable linear models. For a single QRKR, we
supplement the recent analysis of the angular-momentum-space dynamics with a
study of the spin dynamics. Our analysis of two and three coupled QRKRs along
with the proved localization in the many-body linear model indicate that
dynamical localization exists in few-body systems. Moreover, the relation
between QRKR and linear rotor models implies that dynamical many-body
localization can exist in generic, nonintegrable many-body systems. And
localization can generally result from a complicated interplay between Anderson
mechanism and limiting integrability, since the many-body linear model is a
high-angular-momentum limit of many-body QRKRs. We also analyze the dynamics of
two coupled QRKRs in the highly unusual superballistic regime and find that the
resonance conditions are relaxed due to interactions. Finally, we propose
experimental realizations of the QRKR model in cold atoms in optical lattices.

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The categories of this paper are: econ
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: stat