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DY: Fachverband Dynamik und Statistische Physik
DY 40: Many-body Quantum Dynamics I (joint session DY/TT)
DY 40.13: Talk
Thursday, March 21, 2024, 12:45–13:00, A 151
Non-ergodic dynamical phenomena in lattice gauge theories — •Nilotpal Chakraborty1, Markus Heyl2, and Roderich Moessner1 — 1Max Planck Institute for physics of complex systems, Dresden — 2University of Augsburg
Lattice gauge theories are paradigmatic examples of constrained many-body interacting systems. Such theories, while ubiquitous in nature, emerge in condensed matter settings as effective low-energy theories for certain classes of topological magnets. More recently such theories have also been at the forefront of a large quantum simulation effort using ultra cold atoms. With the advent of such simulation efforts and novel dynamical methods for solid state systems, the dynamics of such constrained interacting theories becomes an important theoretical question with physical relevance. In this talk I shall present lattice gauge theories as an ideal testbed for exploring a plethora of non-ergodic dynamical phenomena - ranging from fragmentation to scars as well as many-body localization. In particular, I shall focus on the occurrence of an interference induced many-body localization transition in two dimensional U(1) lattice gauge theories. Such a transition occurs for the problem of a single matter field hopping on a disordered background of interacting gauge fields. I will explore the problem both at the classical and quantum level and highlight interesting dynamical phenomena for both - such as sub-diffusion for the classical and many-body localization for the quantum problem.
Keywords: Quantum dynamics; Many-body localization; Lattice gauge theories; Non-ergodicity; Topological magnets