Bonn 2020 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 13: Tensor Networks
MP 13.1: Talk
Wednesday, April 1, 2020, 16:30–16:50, H-HS I
From spin chains to real-time thermal field theory using tensor networks — Mari Carmen Bañuls1,2, Michał P. Heller3,4, Karl Jansen5, •Johannes Knaute3,6, and Viktor Svensson3,4 — 1Max Planck Institute of Quantum Optics, 85748 Garching bei München, Germany — 2Munich Center for Quantum Science and Technology (MCQST), 80799 München, Germany — 3Max Planck Institute for Gravitational Physics (Albert Einstein Institute), 14476 Potsdam-Golm, Germany — 4National Centre for Nuclear Research, 00-681 Warsaw, Poland — 5NIC, DESY-Zeuthen, 15738 Zeuthen, Germany — 6Department of Physics, Freie Universität Berlin, 14195 Berlin, Germany
One of the most interesting directions in theoretical high-energy physics is understanding dynamical properties of collective states of quantum field theories. The most elementary tool in this quest are retarded equilibrium correlators governing the linear response theory. In the present letter we examine tensor networks as a way of determining them in a fully ab initio way in a class of (1+1)-dimensional quantum field theories arising as infrared descriptions of quantum Ising chains. We show that, complemented with signal analysis using the Prony method, tensor network calculations for intermediate times provide a powerful way to explore the structure of singularities of the correlator in the complex frequency plane.