Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric phase effects in low-energy dynamics near conical
  intersections: A study of the multidimensional linear vibronic coupling model   In molecular systems containing conical intersections (CIs), a nontrivial
geometric phase (GP) appears in the nuclear and electronic wave-functions in
the adiabatic representation. We study GP effects in nuclear dynamics of an
N-dimensional linear vibronic coupling (LVC) model. The main impact of GP on
low-energy nuclear dynamics is reduction of population transfer between the
local minima of the LVC lower energy surface. For the LVC model, we proposed an
isometric coordinate transformation that confines non-adiabatic effects within
a two-dimensional subsystem interacting with an N-2 dimensional environment.
Since environmental modes do not couple electronic states, all GP effects
originate from nuclear dynamics within the subsystem. We explored when the GP
affects nuclear dynamics of the isolated subsystem, and how the
subsystem-environment interaction can interfere with GP effects. Comparing
quantum dynamics with and without GP allowed us to devise simple rules to
determine significance of the GP for nuclear dynamics in this model.

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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
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The categories of this paper are: econ
21
The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph