Jun Jing, Lian-Ao Wu, Ting Yu, J. Q. You, Zhao-Ming Wang, Lluc Garcia
The adiabatic theorem addresses the dynamics of an interested instantaneous eigenstate. Multiple eigenstates are involved in the dynamical process when the adiabatic conditions are not satisfied. We use a Feshbach P-Q partitioning technique to derive a one-component integral-differential equation. The resultant equation properly traces the footprint of the interested eigenstate. We analyze the equation in general and with examples, and surprisingly find an anomalous phenomenon: particular white noises can enhance and even induce adiabaticity. The predicted process may occur sponta- neously in nature. In addition, these noises can also help to shorten the total duration of dynamic processes such as adiabatic quantum computing.
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http://arxiv.org/abs/1305.4845
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