376 citations · 837 across the 7 of their papers we have counts for
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quant-ph2024★ 2 cited
Quantum dynamics of atoms in number-theory-inspired potentials
D. Cassettari, O. V. Marchukov, B. Carruthers +8
In this paper we study transitions of atoms between energy levels of several number-theory-inspired atom potentials, under the effect of time-dependent perturbations. First, we sim…
quant-ph2024
Achieving quantum advantage in a search for a violations of the Goldbach conjecture, with driven atoms in tailored potentials
Oleksandr V. Marchukov, Andrea Trombettoni, Giuseppe Mussardo +1
The famous Goldbach conjecture states that any even natural number greater than can be written as the sum of two prime numbers and . In th…
cond-mat.quant-gas2024★ 3 cited
Resonance Cascades and Number Theory
Oleksandr V. Marchukov, Maxim Olshanii
In this article, we are interested in situations where the existence of a contiguous cascade of quantum resonant transitions is predicated on the validity of a particular statement…