3 papers
cond-mat.quant-gas2026
A canonical approach to quantum fluctuations
Joanna Ruhl, Vanja Dunjko, Maxim Olshanii
We present a canonical formalism for computing quantum fluctuations of certain discrete degrees of freedom in systems governed by integrable partial differential equations with kno…
quant-ph2025
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…
nlin.CG2025
Finding ground states of a square Newman-Moore lattice with sides equal to a Mersenne number using the Rule 60 cellular automaton
Jonás Carmona-PÃrez, Adrian J. Peguero, Vanja Dunjko +2
We offer detailed proofs of some properties of the Rule 60 cellular automaton on a ring with a Mersenne number circumference. We then use these properties to define a propagator, a…