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Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory and
Ergodicity Breaking Arising from Hilbert Space Fragmentation in Dipole-Conserving Hamiltonians
We show that the combination of charge and dipole conservation---characteristic of fracton systems---leads to an extensive fragmentation of the Hilbert space, which in turn can lead to a breakdown of
Diffusive Hydrodynamics of Out-of-Time-Ordered Correlators with Charge Conservation
The scrambling of quantum information in closed many-body systems has received considerable recent attention. Two useful measures of scrambling have emerged: the spreading of initially-local
Detecting topological invariants in chiral symmetric insulators via losses
We show that the bulk winding number characterizing one-dimensional topological insulators with chiral symmetry can be detected from the displacement of a single particle, observed via losses. Losses
Sub-ballistic Growth of Rényi Entropies due to Diffusion.
It is argued that the latter generically grow sub-ballistically, as ∝sqrt[t], in systems with diffusive transport, and is interpreted as a consequence of local quantum fluctuations in conserved densities, whose behavior is controlled by diffusion, and the random circuit model is used to derive an effective description.
Statistical localization: From strong fragmentation to strong edge modes
Certain disorder-free Hamiltonians can be non-ergodic due to a \emph{strong fragmentation} of the Hilbert space into disconnected sectors. Here, we characterize such systems by introducing the notion
Dissipation-assisted operator evolution method for capturing hydrodynamic transport
We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. DAOE is based on
Localization, delocalization, and topological phase transitions in the one-dimensional split-step quantum walk
Quantum walks are promising for information processing tasks because on regular graphs they spread quadratically faster than random walks. Static disorder, however, can turn the tables: unlike random
Fractal, Logarithmic, and Volume-Law Entangled Nonthermal Steady States via Spacetime Duality
The extension of many-body quantum dynamics to the non-unitary domain has led to a series of exciting developments, including new out-of-equilibrium entanglement phases and phase transitions. We show