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Abstract: We study a chain of non-linear, interacting spins driven by a static and atime-dependent magnetic field. The aim is to identify the conditions for thelocally and temporally controlled spin switching. Analytical and full numericalcalculations show the possibility of stochastic control if the underlyingsemi-classical dynamics is chaotic. This is achievable by tuning the externalfield parameters according to the method described in this paper. We showanalytically for a finite spin chain that Arnold diffusion is the underlyingmechanism for the present stochastic control. Quantum mechanically we considerthe regime where the classical dynamics is regular or chaotic. For the latterwe utilize the random matrix theory. The efficiency and the stability of thenon-equilibrium quantum spin-states are quantified by the time-dependence ofthe Bargmann angle related to the geometric phases of the states.



Author: L. Chotorlishvili, Z.Toklikishvili, J. Berakdar

Source: https://arxiv.org/



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