Speaker
Description
Understanding the emergence of transport and chaos in interacting quantum systems remains a central challenge in non-equilibrium statistical physics. In this talk, I will present recent results obtained in one-dimensional Bose gases, focusing on two complementary aspects of quantum dynamics: localization and chaos. First, I will discuss dynamical localization in periodically driven Lieb-Liniger gases. While localization persists in both the non-interacting and strongly interacting limits, finite interactions can induce a transition from a localized to a delocalized regime above a critical driving strength. This phenomenon can be understood through an exact mapping onto effective Anderson models in synthetic dimensions generated by the particle number. I will further show how combining interactions with quasiperiodic driving provides a versatile route to engineer Anderson models in arbitrary dimensions and investigate their localization transitions. In the second part, I will turn to quantum chaos in one-dimensional Bose gases. By introducing a localized impurity that breaks integrability, we uncover an unconventional form of diffraction-induced chaos characterized by random-matrix spectral statistics emerging at low energies. These results highlight the rich interplay between interactions, disorder, integrability, and chaos in low-dimensional quantum systems.