Zisling, Guy

This thesis numerically studies the statical and dynamical nature of two different classes of many-
body quantum systems. In the first part of the thesis we explore a model which is chaotic at
half-filling and show that at least three particles are needed to achieve quantum chaos. In the
second part of the thesis we study spin transport in an interacting system at half-filling found
in a constant electric field. This system was proposed to exhibit Stark Many-Body Localization
(Stark-MBL), namely absence of transport. We show that it while the system is localized up to
finite times, this times drifts for larger system sizes suggesting that Stark MBL occurs only at the
thermodynamic limit.