Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge Fields, Geometric Phases, and Quantum Adiabatic Pumps   Quantum adiabatic pumping of charge and spin between two reservoirs (leads)
has recently been demonstrated in nanoscale electronic devices.
  Pumping occurs when two or more system parameters are varied in a cyclic
manner and sufficiently slowly that the quantum system always remains in its
ground state. We show that quantum pumping has a natural geometric
representation in terms of gauge fields
  (both Abelian and non-Abelian) defined on the space of system parameters. We
make explicit the similarities and differences with Berry's geometric phase.
  Tunneling from a scanning tunneling microscope tip through a magnetic atom
could be used to demonstrate the non-Abelian character of the gauge field.

12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg