Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: SU(3) Landau-Zener interferometry with a transverse periodic drive   Quantum triangles can work as interferometers. Depending on their geometric
size and interactions between paths, "beats" {\it and/or} "steps" patterns are
observed. We show that when inter-level distances between level positions in
quantum triangles periodically change with time, formation of beats {\it
and/or} steps no longer depends only on the geometric size of the triangles but
also on the characteristic frequency of the transverse signal. For large-size
triangles, we observe the coexistence of beats {\it and} steps when the
frequency of the signal matches that of non-adiabatic oscillations and for
large frequencies, a maximum of four steps instead of two as in the case with
constant interactions is observed. Small-size triangles also revealed
counter-intuitive interesting dynamics for large frequencies of the field:
unexpected two-step patterns are observed. When the frequency is large and
tuned such that it matches the uniaxial anisotropy, three-step patterns are
observed. We have equally observed that when the transverse signal possesses a
static part, steps maximize to six. These effects are semi-classically
explained in terms of Fresnel integrals and quantum mechanically in terms of
quantized fields with a photon-induced tunneling process. Our expressions for
populations are in excellent agreement with the gross temporal profiles of
exact numerical solutions. We compare the semi-classical and quantum dynamics
in the triangle and establish the conditions for their equivalence.

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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an