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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;

/persons/resource/persons231238

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

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1912.08836.pdf
(Preprint), 3MB

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Citation

Banuls, M. C., Heller, M. P., Jansen, K., Knaute, J., & Svensson, V. (in preparation). From spin chains to real-time thermal field theory using tensor networks.


Cite as: https://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.