Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay of density waves in coupled one-dimensional many-body-localized
  systems   The behavior of coupled disordered one-dimensional systems, as modelled by
identical fermionic Hubbard chains with the on-site potential disorder and
coupling emerging through the inter-chain hopping $t'$, is analysed. The study
is motivated by the experiment on fermionic cold atoms on a disordered lattice,
where a decay rate of the quenched density wave was measured. We present a
derivation of the decay rate $\Gamma$ within perturbation theory and show that
even at large disorder along the chains the interaction leads to finite $\Gamma
> 0$, the mechanism being the interaction-induced coupling of in-chain
localized and inter-chain extended single-fermion states. Explicit expressions
for $\Gamma$ are presented for a weak interaction $U < t,t'$, but extended also
to the regime $t > U >t'$. It is shown that in both regimes $\Gamma$ increases
with the inter-chain hopping $t'$, as well as decreases with increasing
disorder.

5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph