Irreversibility and the breaking of resonance-antiresonance symmetry
Irreversibility and the breaking of resonance-antiresonance symmetry
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DOI：
10.1063/1.5001284
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发表时间：
2017-10-01
期刊：
影响因子：
2.9
通讯作者：
Hatano, Naomichi
中科院分区：
文献类型：
--
作者：
Ordonez, Gonzalo;Hatano, Naomichi
我们考虑离散格模型的开放量子系统。使用一个简单的模型，一个singlesite耦合到两个引线作为一个例子，我们表明，这些系统的时间演化可以分析在一个明确的时间反演对称分辨率的统一。这种统一的解析包括在未来衰变的共振态和在过去衰变的反共振态。我们发现，一个时间反演不变的状态包含共振和反共振分量具有相等的权重。然而，这种对称性随着系统随时间的演变而自动打破，对于t>0，谐振分量变得比反谐振分量大得多（对于t< 0，反之亦然）。我们认为，不可逆性是这种对称性破缺的表现。我们还比较了我们目前的方法与Prigogine教授和合作者开发的子动力学方法。最后，我们建议我们目前的方法从波函数的水平，密度矩阵的水平的扩展。由AIP出版社出版。
We consider open quantum systems modeled as discrete lattices. Using a simple model of a singlesite coupled to two leads as an example, we show that the time evolution of these systems can be analyzed in terms of an explicitly time-reversal symmetric resolution of unity. This resolution of unity includes both resonant states, which decay in the future, and anti-resonant states, which decay in the past. We show that a time-reversal invariant state contains both resonant and anti-resonant components with equal weights. However, this symmetry is automatically broken as the system evolves in time, with the resonant component becoming much larger than the anti-resonant component for t>0 (and vice versa for t< 0). We argue that irreversibility is a manifestation of this symmetry breaking. We also compare our present approach with the subdynamics approach developed by Prof. Prigogine and collaborators. Finally, we suggest an extension of our present approach from the level of wave functions to the level of density matrices. Published by AIP Publishing.