论文标题
Gamow矢量形式主义适用于Loschmidt Echo
Gamow vectors formalism applied to the Loschmidt echo
论文作者
论文摘要
为了给出量子衰减现象的数学描述，已经开发了gamow矢量。主要是，它们已应用于放射性现象，散射和某些脱碳模型。它们在描述量子不可逆的过程以及量子力学中时间不对称的表述中起着至关重要的作用。在本文中，我们使用这种形式主义来描述一种众所周知的不可逆性现象：洛奇米特回声。标准方法认为，这种现象的不可逆性是向后汉密尔顿的附加术语的结果。在这里，我们使用了非武术形式主义，而时间演变是非独立的。此外，我们将这种现象的特征衰变时间与腐蚀性比较。我们得出的结论是，Loschmidt Echo和DeCherence可以将其视为同一现象的两个方面，并且它们相应的特征时间之间存在数学关系。
Gamow vectors have been developed in order to give a mathematical description for quantum decay phenomena. Mainly, they have been applied to radioactive phenomena, scattering and to some decoherence models. They play a crucial role in the description of quantum irreversible processes, and in the formulation of time asymmetry in quantum mechanics. In this paper, we use this formalism to describe a well-known phenomenon of irreversibility: the Loschmidt echo. The standard approach considers that the irreversibility of this phenomenon is the result of an additional term in the backward Hamiltonian. Here, we use the non-Hermitian formalism, where the time evolution is non-unitary. Additionally, we compare the characteristic decay times of this phenomenon with the decoherence ones. We conclude that the Loschmidt echo and the decoherence can be considered as two aspects of the same phenomenon, and that there is a mathematical relationship between their corresponding characteristic times.
