48 citations · 188 across the 11 of their papers we have counts for
10 papers
Fiber transmission of cluster states via multi-level time-bin encoding
Philip Rübeling, Robert Johanning, Jan Heine +2
The next generation of telecommunication networks will rely on the transmission of complex quantum states to enable secure and transformative information processing, utilizing enta…
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…
Morphology of three-body quantum states from machine learning
David Huber, Oleksandr V. Marchukov, Hans-Werner Hammer +1
The relative motion of three impenetrable particles on a ring, in our case two identical fermions and one impurity, is isomorphic to a triangular quantum billiard. Depending on the…
Creation and Characterization of Matter-Wave Breathers
De Luo, Yi Jin, Jason H. V. Nguyen +6
We report the creation of quasi-1D excited matter-wave solitons, "breathers", by quenching the strength of the interactions in a Bose-Einstein condensate with attractive interactio…
Quantum fluctuations of the center-of-mass and relative parameters of NLS breathers
Oleksandr V. Marchukov, Boris A. Malomed, Vanja Dunjko +4
We study quantum fluctuations of macroscopic parameters of an NLS breathers, i.e., the second-order soliton solution of the nonlinear Schrödinger equation. Uncertainty relations fo…
Splitting of nonlinear-Schrödinger breathers by linear and nonlinear localized potentials
Oleksandr V. Marchukov, Boris A. Malomed, Vladimir A. Yurovsky +3
We consider evolution of one-dimensional nonlinear-Schrödinger (NLS) two-soliton complexes (breathers) with narrow repulsive or attractive potentials (barrier or well, respectively…
Benchmarking the multiconfigurational Hartree method by the exact wavefunction of two harmonically trapped bosons with contact interaction
Yeongjin Gwak, Oleksandr V. Marchukov, Uwe R. Fischer
We consider two bosons in a one-dimensional harmonic trap, interacting by a contact potential, and compare the exact solution of this problem to a self-consistent numerical solutio…
Self-consistent determination of the many-body state of ultracold bosonic atoms in a one-dimensional harmonic trap
Oleksandr V. Marchukov, Uwe R. Fischer
We study zero-temperature quantum fluctuations in harmonically trapped one-dimensional interacting Bose gases, using the self-consistent multiconfigurational time-dependent Hartree…