scholarly journals Relaxation timescales and prethermalization ind-dimensional long-range quantum spin models

2015 ◽  
Vol T165 ◽  
pp. 014039 ◽  
Author(s):  
Michael Kastner ◽  
Mauritz van den Worm
2009 ◽  
Vol 812 (3) ◽  
pp. 402-423 ◽  
Author(s):  
B. Basu-Mallick ◽  
F. Finkel ◽  
A. González-López

2021 ◽  
Vol 104 (11) ◽  
Author(s):  
Jad C. Halimeh ◽  
Maarten Van Damme ◽  
Lingzhen Guo ◽  
Johannes Lang ◽  
Philipp Hauke

2012 ◽  
Vol 14 (11) ◽  
pp. 113006 ◽  
Author(s):  
Michał Maik ◽  
Philipp Hauke ◽  
Omjyoti Dutta ◽  
Jakub Zakrzewski ◽  
Maciej Lewenstein

1993 ◽  
Vol 07 (27) ◽  
pp. 1747-1759 ◽  
Author(s):  
PETER KOPIETZ

Using an analogy between the conductivity tensor of electronic systems and the spin stiffness tensor of spin systems, we introduce the concept of the Thouless number g0 and the dimensionless frequency-dependent conductance g(ω) for quantum spin models. It is shown that spin diffusion implies the vanishing of the Drude peak of g(ω), and that the spin diffusion coefficient Ds is proportional to g0. We develop a new method based the Thouless number to calculate D s , and present results for D s in the nearest-neighbor quantum Heisenberg ferromagnet at infinite temperatures for arbitrary dimension d and spin S.


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