Domain-wall melting as a probe of many-body localization

Motivated by a recent optical-lattice experiment by Choi et al. [Science 352, 1547 (2016)], we discuss how domain-wall melting can be used to investigate many-body localization. First, by considering non-interacting fermion models, we demonstrate that experimentally accessible measures are sensitive to localization and can thus be used to detect the delocalization-localization transition, including divergences of characteristic length scales. Second, using extensive time-dependent density matrix renormalization group simulations, we study fermions with repulsive interactions on a chain and a two-leg-ladder. The extracted critical disorder strengths agree well with the ones found in existing literature.