Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effects of geometry on spin-orbit Kramers states in semiconducting
  nanorings   The holonomic manipulation of spin-orbital degenerate states, encoded in the
Kramers doublet of narrow semiconducting channels with spin-orbit interaction,
is shown to be intimately intertwined with the geometrical shape of the
nanostructures. The presence of doubly degenerate states is not sufficient to
guarantee a non-trivial mixing by only changing the Rashba spin-orbit coupling.
We demonstrate that in nanoscale quantum rings the combination of arbitrary
inhomogeneous curvature and adiabatic variation of the spin-orbit amplitude,
e.g. through electric-field gating, can be generally employed to get
non-trivial combinations of the degenerate states. Shape symmetries of the
nanostructure act to constrain the adiabatic quantum evolution. While for
circular rings the geometric phase is not generated along a non-cyclic path in
the parameters space, remarkably, for generic mirror-symmetric shape deformed
rings the spin-orbit driving can lead to a series of dynamical quantum phase
transitions. We explicitly show this occurrence and propose a route to detect
such topological transitions by measuring a variation of the electron tunneling
amplitude into the semiconducting channel.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: math
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol