Seminar: Variational classical networks for dynamics in interacting quantum matter

2021. 6/11 FridayTime: June 11, 14:00 – 15:00 (Taipei Time)
Speaker: Dr. Roberto Verdel (Max Planck Institute for the Physics of Complex Systems, Germany)
Title: Variational classical networks for dynamics in interacting quantum matter
Abstract: 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. While remarkable progress has been witnessed in recent years for one-dimensional systems, much less has been achieved for interacting quantum models in higher dimensions, since they incorporate an additional layer of complexity. In this talk, I will present a variational method [1] that allows for an efficient and controlled computation of the dynamics of quantum many-body systems in one and higher dimensions. This approach introduces a variational class of wave functions based on complex networks of classical spins akin to artificial neural networks, which can be constructed in a controlled fashion. I will illustrate the performance of this method in quantum quenches in one- and two-dimensional models. In particular, I will discuss the nonequilibrium dynamics in a genuinely interacting two-dimensional lattice gauge theory, the quantum link model, and show that this system features disorder-free localization [2]. Importantly, our method can be applied to any quantum many-body system with a well-defined classical limit, and could be used to provide a theoretical description of experiments in quantum simulators, which have recently seen an increased effort targeting two-dimensional geometries.
References:
[1] R. Verdel, M. Schmitt, Y.P. Huang, P. Karpov, M. Heyl, “Variational classical networks for dynamics in interacting quantum matter”, PRB 103, 165103 (2021). https://arxiv.org/abs/2007.16084
[2] P. Karpov, R. Verdel, Y.P. Huang, M. Schmitt, M. Heyl, “Disorder-free localization in an interacting two-dimensional lattice gauge theory”, PRL 126, 130401 (2021). https://arxiv.org/abs/2003.04901
Mr. Roberto Verdel Aranda is a Ph.D. student at the Lab of Dynamics in Correlated Quantum Matter, Max Planck Institute for the Physics of Complex Systems.
Dynamics in Correlated Quantum Matter (mpg.de)
Video: https://www.youtube.com/watch?v=3eVn-vPgPVw&list=PLRv5VlacpLeHNob2T12NK3DNNpGbtJ_M5&index=5
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