48 citations · 188 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…