Measurement catastrophe and ballistic spread of charge density with vanishing current

Abstract

One of the features of many-body quantum systems with Hilbert-space fragmentation is the existence of stationary states manifesting quantum jamming. It was recently shown that these are "states with memory", in which, e.g., measuring a localised observable has everlasting macroscopic effects. We study such a measurement catastrophe with an example that stands out for its clarity. We show in particular that at late times the expectation value of a charge density becomes a nontrivial function of the ratio between distance and time notwithstanding the corresponding current approaching zero.

29 pages, 10 figures

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• Disorder-Order Interface Propagating over the Ferromagnetic Ground State in the Transverse Field Ising Chain
• Single-file dynamics with general charge measures
• Generalized hydrodynamics of integrable quantum circuits
• Integrability and charge transport in asymmetric quantum-circuit geometries
• Universality in the tripartite information after global quenches: spin flip and semilocal charges
• Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation
• Transport in a System with a Tower of Quantum Many-Body Scars