Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exponentially local spectral flow for possibly non-self-adjoint
  perturbations of non-interacting quantum spins, inspired by KAM theory   Since its introduction by Hastings in [10], the technique of quasi-adiabatic
continuation has become a central tool in the discussion and classification of
ground state phases. It connects the ground states of self-adjoint Hamiltonians
in the same phase by a unitary quasi-local transformation. This paper takes a
step towards extending this result to non- self adjoint perturbations, though,
for technical reason, we restrict ourselves here to weak perturbations of
non-interacting spins. The extension to non-self adjoint perturbation is
important for potential applications to Glauber dynamics (and its quantum
analogues). In contrast to the standard quasi-adiabatic transformation, the
transformation constructed here is exponentially local. Our scheme is inspired
by KAM theory, with frustration-free operators playing the role of integrable
Hamiltonians.

28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph