Temperature dependent weak value of dwell time for a two state particle tunneling through a thermal magnetic barrier

摘要

Dwell time for a two state particle tunneling through a noisy thermalmagnetic barrier has been calculated by studying the time evolution of thesystem. The effect of temperature has been included by averaging over theenvironmental magnetic modes. The time scale has been calculated in theframework of weak measurement. The dwell time initially increases with the riseof temperature and finally saturates. The increment of dwell time can beexplained by the phenomena of quantum memory loss caused by efficient energyexchange with the environmental modes. The saturation region at highertemperature corresponds to the process of thermal hopping of the barrier.