Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-adiabatic quantum Monte Carlo algorithm for quantum evolution in
  imaginary time   We propose a quantum Monte Carlo (QMC) algorithm for non-equilibrium dynamics
in a system with a parameter varying as a function of time. The method is based
on successive applications of an evolving Hamiltonian to an initial state and
delivers results for a whole range of the tuning parameter in a single run,
allowing for access to both static and dynamic properties of the system. This
approach reduces to the standard Schr\"odinger dynamics in imaginary time for
quasi-adiabatic evolutions, i.e., including the leading non-adiabatic
correction to the adiabatic limit. We here demonstrate this quasi-adiabatic QMC
(QAQMC) method for linear ramps of the transverse-field Ising model across its
quantum-critical point in one and two dimensions. The critical behavior can be
described by generalized dynamic scaling. For the two-dimensional
square-lattice system we use the method to obtain a high-precision estimate of
the quantum-critical point $(h/J)_c=3.04463(12)$, where $h$ is the transverse
magnetic field and $J$ the nearest-neighbor Ising coupling. The QAQMC method
can also be used to extract the Berry curvature and the metric tensor.

33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th