We discuss many-body fermionic and bosonic systems subject to dissipative particle losses
in arbitrary spatial dimensions $ d $, within the Keldysh path-integral formulation of the …

We study a dephasing many-body open quantum system that hosts, together with the infinite-
temperature state, another additional stationary state. The latter is exceptional in many …

We theoretically investigate the many-body dynamics of a tight-binding chain with
dephasing noise on the infinite interval. We obtain the exact solution of an average particle …

The topological properties of the one-dimensional interacting systems with spatially
modulated interaction in two-particle regime are theoretically investigated. Taking the boson …

In this thesis, we study many–body systems both in and out of equilibrium. Though these two
setups are fundamentally different from each other, the phenomena that emerge due to …