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- W4353091567 abstract "At high temperature, generic strongly interacting spin systems are expected to display hydrodynamics: local transport of conserved quantities, governed by classical partial differential equations like the diffusion equation. I argue that the emergence of this dissipative long-wavelength dynamics from the system's unitary microscopic dynamics is controlled by the structure of the textit{Liouvillean graph} of the system's Hamiltonian, that is, the graph induced on Pauli strings by commutation with that Hamiltonian. The Liouvillean graph decomposes naturally into subgraphs of Pauli strings of constant diameter, and the coherent dynamics of these subgraphs determines the rate at which operator weight spreads to long operators. This argument provides a quantitative theory of the emergence of a dissipative effective dynamics from unitary microscopic dynamics; it also leads to an effective model with Hilbert space dimension linear in system size and exponential in the UV cutoff for diffusion." @default.
- W4353091567 created "2023-03-23" @default.
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- W4353091567 date "2023-03-22" @default.
- W4353091567 modified "2023-09-24" @default.
- W4353091567 title "Effective dissipation rate in a Liouvillian-graph picture of high-temperature quantum hydrodynamics" @default.
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- W4353091567 doi "https://doi.org/10.1103/physrevb.107.094311" @default.
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