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• W3100830812 abstract "We study the influence of conservation laws on entanglement growth. Focusing on systems with U(1) symmetry, i.e., conservation of charge or magnetization, that exhibits diffusive dynamics, we theoretically predict the growth of entanglement, as quantified by the Renyi entropy, in lattice systems in any spatial dimension d and for any local Hilbert space dimension q (qudits). We find that the growth depends both on d and q, and is in generic case first linear in time, similarly as for generic systems without any conservation laws. Exception to this rule are chains of 2-level systems where the dependence is a square-root of time at all times. Predictions are numerically verified by simulations of diffusive Clifford circuits with upto 10^5 qubits. Such efficiently simulable circuits should be a useful tool for other many-body problems." @default.
• W3100830812 created "2020-11-23" @default.
• W3100830812 creator A5044306350 @default.
• W3100830812 date "2020-06-01" @default.
• W3100830812 modified "2023-10-06" @default.
• W3100830812 title "Entanglement growth in diffusive systems" @default.
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• W3100830812 doi "https://doi.org/10.1038/s42005-020-0366-7" @default.
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