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 Karl Franzens University Graz

Graz University of Technology 

Anomalous Transport in Correlated Quantum Matter
Prof. Dr. Michael Knap
Physics Department, Technical University Munich
https://users.ph.nat.tum.de/ga32pex/
16:15 - 17:15 Tuesday 15 November 2022 TUG

Universality in equilibrium asserts that microscopic details are irrelevant for the emergent quantum phases of matter and their transitions. Rather, symmetries and topology determine the essential macroscopic properties. By contrast, all scales, from low to high energies, are relevant for quantum systems which are driven far from their thermal equilibrium. Recent experimental progress in engineering coherent and interacting quantum simulators made it possible to create and explore exotic non-equilibrium states, which can exhibit a wealth of dynamical phenomena. Despite this apparent complexity, a common anticipation is that diffusive transport of globally conserved quantities emerges universally for any complex quantum systems, since strong interactions entangle and effectively mix local degrees of freedom.

Recent developments however showed, that a variety of largely unexplored classes of hydrodynamics may exist. In certain constrained many-body systems the structure of conservation laws can cause a drastic modification of this universal dynamical behavior. For example, systems which conserve the dipole moment exhibit a localization transition separating an ergodic dynamical phase from a frozen one. Even in the ergodic phase, transport is anomalously slow and exhibits sub-diffusive scaling.

In this talk, I will review some of the theoretical progress in studying anomalous transport in strongly interacting quantum many-body systems and discuss recent quantum simulation experiments with ultracold atoms and trapped ions.