Nonadiabatic effect on the quantum heat flux control.
Nonadiabatic effect on the quantum heat flux control.
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DOI：
10.1103/physreve.89.052108
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
Chikako Uchiyama
中科院分区：
文献类型：
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作者：
Chikako Uchiyama
在Hilbert-Schmidt空间中，利用全计数统计方法，给出了周期性环境调制下包含非绝热效应的量子转移的一般公式。将该公式应用于在马尔可夫近似下与两个玻色子环境相互作用的非谐结模型，我们发现量子转移分为绝热（动力学和几何相）和非绝热贡献。这种扩展显示了量子转移的依赖性的非谐结的初始条件下调制之前，以及特征的环境参数，如相互作用强度和光谱密度的截止频率。我们发现，非绝热的贡献代表了回忆过去的调制，包括从初始条件的非谐结的过渡到一个稳定的状态所确定的调制开始的效果。这使我们能够调整调制的频率范围，从而我们可以通过设置非谐结的初始条件来获得对应于几何相位的量子通量。
We provide a general formula of quantum transfer that includes the nonadiabatic effect under periodic environmental modulation by using full counting statistics in Hilbert-Schmidt space. Applying the formula to an anharmonic junction model that interacts with two bosonic environments within the Markovian approximation, we find that the quantum transfer is divided into the adiabatic (dynamical and geometrical phases) and nonadiabatic contributions. This extension shows the dependence of quantum transfer on the initial condition of the anharmonic junction just before the modulation, as well as the characteristic environmental parameters such as interaction strength and cut-off frequency of spectral density. We show that the nonadiabatic contribution represents the reminiscent effect of past modulation including the transition from the initial condition of the anharmonic junction to a steady state determined by the very beginning of the modulation. This enables us to tune the frequency range of modulation, whereby we can obtain the quantum flux corresponding to the geometrical phase by setting the initial condition of the anharmonic junction.