Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical criticality and domain-wall coupling in long-range
  Hamiltonians   Dynamical quantum phase transitions hold a deep connection to the underlying
equilibrium physics of the quench Hamiltonian. In a recent study [J.~C.~Halimeh
\textit{et al.}, arXiv:1810.07187], it has been numerically demonstrated that
the appearance of anomalous cusps in the Loschmidt return rate coincides with
the presence of bound domain walls in the spectrum of the quench Hamiltonian.
Here, we consider transverse-field Ising chains with power-law and
exponentially decaying interactions, and show that by removing domain-wall
coupling via a truncated Jordan-Wigner transformation onto a Kitaev chain with
long-range hopping and pairing, anomalous dynamical criticality is no longer
present. This indicates that bound domain walls are necessary for anomalous
cusps to appear in the Loschmidt return rate. We also calculate the dynamical
phase diagram of the Kitaev chain with long-range hopping and pairing, which in
the case of power-law couplings is shown to exhibit rich dynamical criticality
including a doubly critical dynamical phase.

14
The categories of this paper are: math-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom