The mean-field approximation based on effective interactions or density functionals plays a
pivotal role in the description of finite quantum many-body systems that are too large to be …

Trapped bosons exhibit fundamental physical phenomena and are at the core of emerging
quantum technologies. We present a method for simulating bosons using path integral …

The two trapped quantum particles interacting problem is generalized to three dimensions,
and the exact Coulomb potential is used. The system is solved by expanding the …

We investigate the quantum dynamics of two bosons, trapped in a two-dimensional
harmonic trap, upon quenching arbitrarily their interaction strength and thereby covering the …

Aiming at elucidating similarities and differences between quantum-optics biphoton
interference phenomena and the quantum physics of quasi-one-dimensional double-well …

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-
orbit coupling is investigated. An analytic treatment of the ground state of a single atom in …

When seeking a numerical representation of a quantum-mechanical multiparticle problem it
is tempting to replace a singular short-range interaction by a smooth finite-range …

By using a step-like potential, it is possible to mimic the Rydberg short range part of the
interaction between two atoms. It is easy in this case to establish an analytical solution of the …

Quantum gases at low temperatures provide an ideal testbed for generating, manipulating
and imaging strongly interacting systems. This is granted by the ability to tune many …

[eng] In this thesis, we study the physical properties of several ultracold few-boson systems
depending on the interactions between their constituents. Nowadays, experimentally, it is …