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The ITransverse.jl library for transverse tensor network contractions
Stefano Carignano
Transverse contraction methods are extremely promising tools for the efficient contraction of tensor networks associated with the time evolution of quantum many-body systems, allow…
Overcoming the entanglement barrier with sampled tensor networks
Stefano Carignano, Guglielmo Lami, Jacopo De Nardis +1
The rapid growth of entanglement under unitary time evolution is the primary bottleneck for modern tensor-network techniques--such as Matrix Product States (MPS)--when computing ti…
Spatio-temporal tensor-network approaches to out-of-equilibrium dynamics bridging open and closed systems
Sergio Cerezo-Roquebrún, Aleix Bou-Comas, Jan T. Schneider +3
The study of many-body quantum systems out of equilibrium remains a significant challenge with complexity barriers arising in both state and operator-based representations. In this…
Pauli weight requirement of the matrix elements in time-evolved local operators: dependence beyond the equilibration temperature
Carlos Ramos-Marimón, Stefano Carignano, Luca Tagliacozzo
The complexity of simulating the out-of-equilibrium evolution of local operators in the Heisenberg picture is governed by the operator entanglement, which grows linearly in time fo…