Quantum adiabatic processes—that keep constant the populations in the instantaneous
eigenbasis of a time-dependent Hamiltonian—are very useful to prepare and manipulate …

We present an exact analytical solution of the fundamental system of quasi-one-dimensional
spin-1 bosons with infinite δ repulsion. The eigenfunctions are constructed from the wave …

We propose a feasible scheme to realize nonlinear Ramsey interferometry with a two-
component Bose-Einstein condensate, where the nonlinearity arises from the interaction …

We investigate magnetic properties and statistical effects in one-dimensional (1D) strongly
repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized …

In this chapter, we discuss the physical origins of the nonlinearity in quantum many-body
systems. Based on the nonlinear Schrö dinger equation, we introduce the adiabatic …

The research field of ultracold atomic quantum gases has been developing rapidly during
the last years. That is due to the extremely flexible toolbox of the experimenters, which …

We examine the connection between the dwell time of a quantum particle in a region of
space and flux-flux correlations at the boundaries. It is shown that the first and second …

We investigate the stability aspects of quintic Gross-Pitaevskii (GP) equation with the
presence and absence of external trapping potential for a Bose Gas (BG) in both the Tonks …

Time observables time observables in quantum mechanics have a long and debated history
[35]. In spite of the fact that random time variables, measured after a system is prepared, are …

We investigate the ground state density distributions of anti-ferromagnetic spin-1 Bose
gases in a one dimensional harmonic potential in the full interacting regimes. The ground …