376 citations · 837 across the 7 of their papers we have counts for
6 papers
Diffraction induced quantum chaos in a one-dimensional Bose gas
M. Olshanii, G. Aupetit-Diallo, S. G. Jackson +2
We investigate the Lieb--Liniger model of interacting one-dimensional bosons coupled to a localized impurity, modeled by a delta barrier. While the Lieb--Liniger gas is integrable,…
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…
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…
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…
Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
T. Bergeman, M. G. Moore, M. Olshanii
In a recent article [M. Olshanii, Phys. Rev. Lett. {\bf 81}, 938 (1998)], an analytic solution of atom-atom scattering with a delta-function pseudopotential interaction in the pres…
Field-Induced Magnetic Order in Quantum Spin Liquids
Stefan Wessel, Maxim Olshanii, Stephan Haas
We study magnetic field-induced three-dimensional ordering transitions in low-dimensional quantum spin liquids, such as weakly coupled, antiferromagnetic spin-1/2 Heisenberg dimers…