Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degrees and signatures of broken PT-symmetry in (non-uniform) lattices   We investigate the robustness of parity- and time-reversal ($\mP\mT$)
symmetric phase in an $N$-site lattice with position-dependent,
parity-symmetric hopping function and a pair of imaginary, $\mP\mT$-symmetric
impurities. We find that the "fragile" $\mP\mT$-symmetric phase in these
lattices is stronger than its counterpart in a lattice with constant hopping.
With an open system in mind, we explore the degrees of broken $\mP\mT$-symmetry
and their signatures in single-particle wavepacket evolution. We predict that
when the $\mP\mT$-symmetric impurities are closest to each other, the time
evolution of a wavepacket in an even-$N$ lattice is remarkably different from
that in an odd-$N$ lattice. Our results suggest that $\mP\mT$-symmetry breaking
in such lattices is accompanied by rich, hitherto unanticipated, phenomena.

36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th