Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Validation of Quantum Adiabaticity through Non-Inertial Frames and Its
  Trapped-Ion Realization   Validity conditions for the adiabatic approximation are useful tools to
understand and predict the quantum dynamics. Remarkably, the resonance
phenomenon in oscillating quantum systems has challenged the adiabatic theorem.
In this scenario, inconsistencies in the application of quantitative adiabatic
conditions have led to a sequence of new approaches for adiabaticity. Here, by
adopting a different strategy, we introduce a validation mechanism for the
adiabatic approximation by driving the quantum system to a non-inertial
reference frame. More specifically, we begin by considering several relevant
adiabatic approximation conditions previously derived and show that all of them
fail by introducing a suitable oscillating Hamiltonian for a single quantum bit
(qubit). Then, by evaluating the adiabatic condition in a rotated non-inertial
frame, we show that all of these conditions, including the standard adiabatic
condition, can correctly describe the adiabatic dynamics in the original frame,
either far from resonance or at a resonant point. Moreover, we prove that this
validation mechanism can be extended for general multi-particle quantum
systems, establishing the conditions for the equivalence of the adiabatic
behavior as described in inertial or non-inertial frames. In order to
experimentally investigate our method, we consider a hyperfine qubit through a
single trapped Ytterbium ion $^{171}$Yb$^{+}$, where the ion hyperfine energy
levels are used as degrees of freedom of a two-level system. By monitoring the
quantum evolution, we explicitly show the consistency of the adiabatic
conditions in the non-inertial frame.

10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: math
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph