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Quantum thermalization dynamics with Matrix-Product States
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We study the dynamics of thermalization following a quantum quench using tensor-network methods. Contrary to the common belief that the rapid growth of entanglement and the resulting exponential growth of the bond dimension restricts simulations to short times, we demonstrate that the long time limit of local observables can be well captured using the time-dependent variational principle. This allows to extract transport coefficients such as the energy diffusion constant from simulations with rather small bond dimensions. We further study the characteristic of the chaotic wave that precedes the emergence of hydrodynamics, to find a ballistic diffusively-broadening wave-front.
Forward citations
Cited by 2 Pith papers
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Sketch Tomography: Hybridizing Classical Shadow and Matrix Product State
Sketch tomography reconstructs a matrix-product-state density matrix from classical Pauli-shadow data via sketched tensor-train equations, with a claimed O(n^2) sample guarantee.
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Correlations, Spectra and Entanglement Transitions in Ensembles of Matrix Product States
Compressed matrix product states from random and monitored circuits spread correlations over xi_eff ~ log chi^alpha, and near-zero transfer-matrix eigenvalues detect the measurement-induced entanglement transition.
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