Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2
2014 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 89, no 1, 012923- p.Article in journal (Refereed) Published
We show that macroscopic nonintegrable lattices of spins 1/2, which are often considered to be chaotic, do not exhibit the basic property of classical chaotic systems, namely, exponential sensitivity to small perturbations. We compare chaotic lattices of classical spins and nonintegrable lattices of spins 1/2 in terms of their magnetization responses to an imperfect reversal of spin dynamics known as Loschmidt echo. In the classical case, magnetization is exponentially sensitive to small perturbations with a characteristic exponent equal to twice the value of the largest Lyapunov exponent of the system. In the case of spins 1/2, magnetization is only power-law sensitive to small perturbations.
Place, publisher, year, edition, pages
2014. Vol. 89, no 1, 012923- p.
Fusion, Plasma and Space Physics
IdentifiersURN: urn:nbn:se:su:diva-102488DOI: 10.1103/PhysRevE.89.012923ISI: 000332169900010OAI: oai:DiVA.org:su-102488DiVA: diva2:710486