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- Title
Real-time spin systems from lattice field theory.
- Authors
Warrington, Neill C.
- Abstract
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.
- Subjects
PATH integrals; QUANTUM field theory; LATTICE field theory; REAL-time computing; ALGEBRAIC field theory
- Publication
Journal of High Energy Physics, 2023, Vol 2023, Issue 12, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP12(2023)156