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- W4226280087 abstract "We investigate the spectral and transport properties of many-body quantum systems with conserved charges and kinetic constraints. Using random unitary circuits, we compute ensemble-averaged spectral form factors and linear-response correlation functions, and find that their characteristic timescales are given by the inverse gap of an effective Hamiltonian---or equivalently, a transfer matrix describing a classical Markov process. Our approach allows us to connect directly the Thouless time, ${t}_{text{Th}}$, determined by the spectral form factor, to transport properties and linear-response correlators. Using tensor network methods, we determine the dynamical exponent $z$ for a number of constrained, conserving models. We find universality classes with diffusive, subdiffusive, quasilocalized, and localized dynamics, depending on the severity of the constraints. In particular, we show that quantum systems with ``Fredkin'' constraints exhibit anomalous transport with dynamical exponent $zensuremath{simeq}8/3$." @default.
- W4226280087 created "2022-05-05" @default.
- W4226280087 creator A5054500757 @default.
- W4226280087 creator A5056689592 @default.
- W4226280087 creator A5061437432 @default.
- W4226280087 creator A5066629802 @default.
- W4226280087 date "2021-12-01" @default.
- W4226280087 modified "2023-10-15" @default.
- W4226280087 title "Subdiffusion and Many-Body Quantum Chaos with Kinetic Constraints" @default.
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- W4226280087 doi "https://doi.org/10.1103/physrevlett.127.230602" @default.
- W4226280087 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34936767" @default.
- W4226280087 hasPublicationYear "2021" @default.
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