Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quench dynamics and defects formation in the Ising chain in a transverse
  magnetic field   We study analytically and numerically quench dynamics and defects formation
in the quantum Ising model in the presence of a time-dependent transverse
magnetic field. We generalize the Landau-Ziner formula to the case of
non-adiabatic evolution of the quantum system. For a quasi-static magnetic
field, with a slow dependence on time, our outcomes are similar to the results
predicted by the Landau-Zener formula. However, a quench dynamics under a
shock-wave load is more complicated. The final state of the system depends on
the amplitude and pulse velocity, resulting in the mixture of ground and
excited states and significant density of defects.

25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex