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TT: Fachverband Tiefe Temperaturen
TT 37: Correlated Electrons: Poster
TT 37.58: Poster
Mittwoch, 19. März 2025, 15:00–18:00, P4
Thouless time in a spin-1/2 XX ladder — •Kadir Çeven1, Lukas Peinemann1, Rohit Patil2, Marcos Rigol2, and Fabian Heidrich-Meisner1 — 1Institut für Theoretische Physik, Georg-August-Universität Göttingen, Göttingen, Germany — 2Department of Physics, Pennsylvania State University, University Park, USA
The eigenstate thermalization hypothesis (ETH) offers a powerful framework for understanding many properties of thermalization dynamics in non-equilibrium quantum many-body systems. Here, determining the time scales associated with thermalization is a key focus in the research of nonequilibrium dynamics of such systems. In this study, we investigate a spin-1/2 XX ladder, an experimentally realizable model exhibiting diffusive dynamics, to explore the connections among ETH, transport properties, and measures purely based on its energy spectrum. Specifically, we analyze the spectral form factor and the smooth spectral function, each of which provides a characteristic relaxation time scale potentially linked to the Thouless time–the longest relaxation time defined in terms of the diffusion constant. Using various numerical methods, we compare the time scales obtained from these different measures to identify potential discrepancies and similarities.
We acknowledge funding from the Deutsche Forschungsgemeinschaft (German Research Foundation) within the Research Unit FOR5522 (Project No. 499180199).
Keywords: spin ladder; Thouless time; relaxation; thermalization; eigenstate thermalization hypothesis