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20152023
most citedQuantum many-body dynamics in two dimensions with artificial neural networks

236 citations · 1k across the 21 of their papers we have counts for

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8 papers · 1 filter

cond-mat.str-el2023★ 19 cited

Highly resolved spectral functions of two-dimensional systems with neural quantum states

Tiago Mendes-Santos, Markus Schmitt, Markus Heyl

Spectral functions are central to link experimental probes to theoretical models in condensed matter physics. However, performing exact numerical calculations for interacting quant…

cond-mat.str-el2021★ 101 cited

Quantum phase transition dynamics in the two-dimensional transverse-field Ising model

Markus Schmitt, Marek M. Rams, Jacek Dziarmaga +2

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near the quantum phase transitions (QPTs). It is now well understood for the one-dimensional quantum…

cond-mat.str-el2021★ 3 cited

Time-dependent variational principle for open quantum systems with artificial neural networks

Moritz Reh, Markus Schmitt, Martin Gärttner

We develop a variational approach to simulating the dynamics of open quantum many-body systems using deep autoregressive neural networks. The parameters of a compressed representat…

cond-mat.str-el2020★ 20 cited

Variational classical networks for dynamics in interacting quantum matter

Roberto Verdel, Markus Schmitt, Yi-Ping Huang +2

Dynamics in correlated quantum matter is a hard problem, as its exact solution generally involves a computational effort that grows exponentially with the number of constituents. W…

cond-mat.str-el2020★ 90 cited

Disorder-free localization in an interacting two-dimensional lattice gauge theory

P. Karpov, R. Verdel, Y. -P. Huang +2

Disorder-free localization has been recently introduced as a mechanism for ergodicity breaking in low-dimensional homogeneous lattice gauge theories caused by local constraints imp…

cond-mat.str-el2019★ 236 cited

Quantum many-body dynamics in two dimensions with artificial neural networks

Markus Schmitt, Markus Heyl

The efficient numerical simulation of nonequilibrium real-time evolution in isolated quantum matter constitutes a key challenge for current computational methods. This holds in par…

cond-mat.str-el2018★ 40 cited

Tripartite information, scrambling, and the role of Hilbert space partitioning in quantum lattice models

Oskar Schnaack, Niklas Bölter, Sebastian Paeckel +3

For the characterization of the dynamics in quantum many-body systems the question how information spreads and becomes distributed over the constituent degrees of freedom is of fun…

cond-mat.str-el2017★ 53 cited

Quantum dynamics in transverse-field Ising models from classical networks

Markus Schmitt, Markus Heyl

The efficient representation of quantum many-body states with classical resources is a key challenge in quantum many-body theory. In this work we analytically construct classical n…