Absence of Localization in Interacting Spin Chains with a Discrete Symmetry

Explore the fundamental principles of quantum many-body dynamics through this 56-minute conference talk examining why localization fails to occur in interacting spin chains that possess discrete symmetries. Delve into the theoretical framework that governs thermalization violations in quantum systems, with particular focus on how discrete symmetries influence the behavior of strongly correlated spin chains. Analyze the mechanisms that prevent Anderson localization in these interacting systems, contrasting them with non-interacting cases where localization readily occurs. Investigate the role of symmetry-protected states and their impact on energy transport and thermalization processes in one-dimensional quantum systems. Examine recent theoretical developments and numerical evidence that demonstrate the absence of many-body localization in certain symmetry-constrained models. Understand the implications of these findings for quantum information processing, quantum simulation, and the broader understanding of ergodicity breaking in quantum many-body systems. Gain insights into the ongoing debates surrounding the stability of many-body localized phases and the conditions under which thermalization is restored in disordered interacting systems.