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The efficient numerical simulation of nonequilibrium real-time evolution in isolated quantum matter constitutes a key challenge for current computational methods. This holds in particular in the regime of two spatial dimensions, whose experimental exploration is currently pushed forward using quantum simulators. In this talk I will discuss our recent efforts towards the development of versatile variational approaches, which are efficiently applicable also to two-dimensional systems. On the one hand, a perturbatively motivated variational ansatz enabled us to identify disorder-free localization in an interacting two-dimensional lattice gauge theory [1]. On the other hand, leveraging large scale computational resources, we were able to demonstrate that neural network wave functions can exceed the capabilities of tensor networks on the task of computing quench dynamics in the two-dimensional quantum Ising model [2]. [1] P. Karpov et al., arXiv:2003.04901 [2] M. Schmitt and M. Heyl, arXiv:1912.08828

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Markus Schmitt, Berkeley
zoom / https://uni-koeln.zoom.us/j/93587244758
Contact: S. Trebst