SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 33: Many-Body Quantum Dynamics (joint session DY/TT)
TT 33.12: Vortrag
Mittwoch, 29. März 2023, 12:45–13:00, MOL 213
Simulating infinite temperature spin dynamics by a dynamic mean-field theory — •Timo Gräßer1, Kristine Rezai2, Alexander O. Sushkov2, and Götz S. Uhrig1 — 1Condensed Matter Theory, TU Dortmund University, Otto-Hahn Straße 4, 44221 Dortmund, Germany — 2Department of Physics, Boston University, Boston, MA 02215, USA
We develop a dynamic mean-field theory for spin systems at infinite temperature (spinDMFT) [1]. The idea is to replace the large environment of a spin by a dynamic mean-field which displays a random Gaussian temporal evolution.
Its autocorrelations are self-consistently linked to the quantum mechanic
expectation values of spin-spin correlations. This approach becomes
exact in the limit of large lattice coordination numbers.
We improve the approach by considering spin clusters quantum-mechanically
(cluster spinDMFT). The extended model is able to describe dynamic spin correlations measured in recent experiments [2] where an inhomogeneous spin-12 ensemble on a diamond surface is probed using nitrogen-vacancy centers as sensors.
[1] T. Gräßer et al., Phys. Rev. Research 3, 043168 (2021).
[2] K. Rezai et al., arXiv:2207.10688 (2022).