A Panorama of Tensor Networks: from Condensed Matter to Quantum Field Theory, Holography and Beyond

The Dyson Series as a Matrix Product Operator

Oct 7, 2025, 4:45 PM

2h 30m

Collegium Nowodworskiego (Jagiellonian University)

Poster Presentation Poster Session

Speaker

Victor Vanthilt (Ghent University)

Description

We introduce a matrix product operator (MPO) encoding of the Dyson series, which is the time-evolution operator for quantum systems with time-dependent Hamiltonians. The MPO can be made accurate up to arbitrary order in the timestep, the construction can be applied to both finite and infinite systems and it can handle long-range interactions.