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From spin chains to real-time thermal field theory using tensor networks

MPS-Authors
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Heller,  Michal P.
Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Knaute,  Johannes
Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Svensson,  Viktor
Gravity, Quantum Fields and Information, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1912.08836.pdf
(Preprint), 3MB

PhysRevResearch.2.033301.pdf
(Publisher version), 3MB

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Citation

Banuls, M. C., Heller, M. P., Jansen, K., Knaute, J., & Svensson, V. (2020). From spin chains to real-time thermal field theory using tensor networks. Physical Review Research, 2: 033301. doi:10.1103/PhysRevResearch.2.033301.


Cite as: http://hdl.handle.net/21.11116/0000-0005-78D1-8
Abstract
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 infra-red descriptions of quantum Ising chains. We show that, complemented with signal analysis using the Prony method, tensor networks calculations for intermediate times provide a powerful way to explore the structure of singularities of the correlator in the complex frequency plane.