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Bulletin of the American Physical Society

Dynamic Scaling Behavior of the Hysteresis Loop Area in a Periodically Modulated Cold Atomic System under Oscillating Bias Field

Yong Hee Kim, Myoung-Sun Heo, Geol Moon, Ji-Hyoun Kim, Wonho Jhe

Published Jun 16, 2011• 0 citations
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We observe the hysteresis of a spontaneous symmetry breaking (SSB) transition in a parametrically modulated magneto-optical trap by sweeping the total number of atoms and study thermal hysteretic behavior in the system by measuring the scaling exponent of hysteresis. It is shown that the relaxation time of the order parameter in the SSB transition becomes larger near the critical number. The scaling exponent of the hysteresis area with number sweeping rate is found to be 0.64±0.04, which is consistent with the value in the mean-field model.

Physical review. E•Sep 30, 2016•9 citations
Dynamic behavior of a quantum Heisenberg ferromagnet in the presence of a periodically oscillating magnetic field has been analyzed by means of the effective field theory with two spin cluster. The dynamic equation of motion has been constructed with the help of a Glauber type stochastic process and solved for a simple cubic lattice. After the phase diagrams given, the behavior of the hysteresis loop area, coercive field and remanent magnetization with the anisotropy in the exchange interaction has been investigated in detail. Especially, by comparing of the magnitudes of the hysteresis loop area in the high anisotropy limit (i.e. Ising model) and low anisotropy limit (i.e. isotropic Heisenberg model), detailed description of the hysteresis loop area with the anisotropy in the exchange interaction given. Some interesting features have been obtained about this behavior as well as in phase diagrams such as tricritical points.
We observe the hysteresis of a spontaneous symmetry breaking (SSB) transition in a parametrically modulated magneto-optical trap by sweeping the total number of atoms and study thermal hysteretic behavior in the system by measuring the scaling exponent of hysteresis. It is shown that the relaxation time of the order parameter in the SSB transition becomes larger near the critical number. The scaling exponent of the hysteresis area with number sweeping rate is found to be 0.64±0.04, which is consistent with the value in the mean-field model.