Related papers: Spatio-temporal tensor-network approaches to out-of-equilibrium dynamics bridging open and closed systems

Spatio-temporal tensor-network approaches to out-of-equilibrium dynamics bridging open and closed systems

URL: http://arxiv.org/abs/2502.20214v1
Date: Thu, 27 Feb 2025 15:54:40 GMT
Title: Spatio-temporal tensor-network approaches to out-of-equilibrium dynamics bridging open and closed systems
Authors: Sergio Cerezo-Roquebrún, Aleix Bou-Comas, Jan T. Schneider, Esperanza López, Luca Tagliacozzo, Stefano Carignano,
Abstract summary: We review recent approaches based on finding better algorithmic strategies for the full-temporal and tensor networks.<n>We discuss recent developments, highlight the complexity of influence functionals in various dynamical regimes.<n>We provide an outlook on strategies to encode complementary influence functional overlaps, paving the way for accurate descriptions of open and closed quantum systems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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 work, we review recent approaches based on finding better contraction strategies for the full spatio-temporal tensor networks that encode the path integral of the dynamics, as well as the conceptual integration of influence functionals, process tensors, and transfer matrices within the tensor network formalism. We discuss recent algorithmic developments, highlight the complexity of influence functionals in various dynamical regimes and present consistent results of different communities, showing how ergodic dynamics render these functionals exponentially difficult to compress. Finally, we provide an outlook on strategies to encode complementary influence functional overlaps, paving the way for accurate descriptions of open and closed quantum systems with tensor networks.

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