Unitary long-time evolution with quantum renormalization groups and artificial neural networks

Understand

In this work we combine quantum renormalization group approaches with deep artificial neural networks for the description of the real-time evolution in strongly disordered quantum matter.

• We find that this allows us to accurately compute the long-time coherent dynamics of large, many-body localized systems in non-perturbative regimes including the effects of many-body resonances.
• Concretely, we use this approach to describe the spatiotemporal buildup of many-body localized spin glass order in random Ising chains.
• We observe a fundamental difference to a non-interacting Anderson insulating Ising chain, where the order only develops over a finite spatial range.