Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Anomalous Lieb-Robinson Bounds for the Fibonacci XY Chain   We rigorously prove a new kind of anomalous (or sub-ballistic) Lieb-Robinson
bound for the isotropic XY chain with Fibonacci external magnetic field at
arbitrary coupling. It is anomalous in that the usual exponential decay in
$x-vt$ is replaced by exponential decay in $x-vt^\alpha$ with $0<\alpha<1$. In
fact, we can characterize the values of $\alpha$ for which such a bound holds
as those exceeding $\alpha_u^+$, the upper transport exponent of the one-body
Fibonacci Hamiltonian. Following the approach of \cite{HSS11}, we relate
Lieb-Robinson bounds to dynamical bounds for the one-body Hamiltonian
corresponding to the XY chain via the Jordan-Wigner transformation; in our case
the one-body Hamiltonian with Fibonacci potential. We can bound its dynamics by
adapting techniques developed in \cite{DT07, DT08, D05, DGY} to our purposes.
  We also explain why our method does not extend to yield anomalous
Lieb-Robinson bounds of power-law type for the random dimer model.

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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int