While the properties and the shape of the ground state of a gas of ultracold bosons are well
understood in harmonic potentials, they remain for a large part unknown in the case of …

A broad range of phenomena in correlated electrons traveling in moiré lattices has emerged
in both scenarios, experiments and theory. In this paper we report the observation of a …

As a first approximation beyond linearity, the nonlinear Schrödinger equation (NLSE)
reliably describes a broad class of physical systems. Though numerical solutions of this …

This work deals with the key constituent behind the existence of superfluid states in ultracold
fermionic gases confined in a harmonic trap in 2D, namely, the formation of Cooper pairs in …

We study the existence of nontrivial solution branches of three-coupled Gross–Pitaevskii
equations (CGPEs), which are used as the mathematical model for rotating spin-1 Bose …

We discuss mathematical methods to derive Nonlinear Schr\" odinger equations (NLS) in"
low dimensional" settings, ie the 3-dimensional physical space eg to 2 or 1 space …

Nonlinearities in quantum systems provide some of the most intriguing physics to be
exploited for quantum technologies and for quantum simulations. In this thesis, we explore …

In this paper, we take a closer and new look at the effects of tidal forces on the free fall of a
quantum particle inside a spherically symmetric gravitational field. We derive the …

Decoherence with recurrences appear in the dynamics of the one-body density matrix of an
F= 1 spinor Bose–Einstein condensate, initially prepared in coherent states, in the presence …

In this Semester project, we explore the formation of domains in the self-organisation phase
transition. The domains are identifiable by a shift in the density wave by half a transverse …