Real-time spin systems from lattice field theory

Neill Warrington (Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA)

We construct a lattice field theory method for computing the real-time dynamics of spin systems in a thermal bath. This is done by building on previous work of Takano with Schwinger-Keldysh and functional differentiation techniques. We derive a Schwinger-Keldysh path integral for generic spin Hamiltonians, then demonstrate the method on a simple system. Our path integral has a sign problem, which generally requires exponential run time in the system size, but requires only linear storage. The latter may place this method at an advantage over exact diagonalization, which is exponential in both. Our path integral is amenable to contour deformations, a technique for reducing sign problems.

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Published on:
22 December 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 12
Pages 1-11
DOI:
https://doi.org/10.1007/JHEP12(2023)156
arXiv:
2310.19761
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: