Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adiabatic approximation for the imaginary-time Schroedinger equation and
  its application to simulated annealing   We formulate an adiabatic approximation for the imaginary-time Schroedinger
equation. The obtained adiabatic condition consists of two inequalities, one of
which coincides with the conventional adiabatic condition for the real-time
Schroedinger equation, but the other does not. We apply this adiabatic
approximation to the analysis of Markovian dynamics of the classical Ising
model, which can be formulated as the imaginary-time Schr\"odinger equation, to
obtain an asymptotic formula for the probability that the system reaches the
ground state in the limit of a long annealing time in simulated annealing.
Using this form, we amend the theory of Somma, Batista, and Ortiz for a
convergence condition for simulated annealing.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int