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DY: Fachverband Dynamik und Statistische Physik

DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems

DY 53.20: Poster

Donnerstag, 19. März 2020, 15:00–18:00, P1A

Performance of locally purified TN states as Ansatz-class for physical systems — •Lennart Bittel¹, Albert H. Werner², and Martin Kliesch¹ — ¹Heinrich Heine Universität, Düsseldorf, Germany — ²University of Copenhagen, Copenhagen, Denmark

Tensor network models have proven to be a useful tool for the simulation of interacting quantum many-body systems and have also been extended from closed to open quantum systems. Matrix product density operators (MPDO) provide a common ansatz class to simulate quantum states under nearest neighbour Lindblad dynamics. Alternatively, locally purified tensor networks can be used to avoid positivity issues and to to obtain trace norm control for the simulation errors. However, It is known that some states can be approximated less efficiently compared to MPDO. Moreover, purifications of quantum states have a unitary gauge freedom, which can lead to significant errors in simulation if not appropriately fixed. In this work, we investigate use cases and develop algorithms for open tensor networks like state approximation, Lindblad dynamics and finding the respective equilibrium state and show that purified networks can outperform MPDO for relevant physical systems.