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Pulse dynamics of quantum systems with pairing

机译：具有配对的量子系统的脉冲动力学

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The evolution of the system of fermions with pairing under the action of a pulse (or a quench) of the external potential has been studied. In the dynamical regime the number of fermions oscillates (with beats) as a function of the duration of the pulse (or as a function of time for the quench) about the value determined by the magnitude of the pulse. Oscillations depend on the values of the potential and the pulse. The parameters of those oscillations permit one to determine characteristics of the dynamical quantum phase transitions, such as Fisher's zeros in one-dimensional systems. The effect is absent for zero pairing. In particular, the response of a topological superconductor to the pulse manifests dynamical oscillations, most pronounced for the range of parameters in which the topological superconductivity can occur. The response of Majorana edge states to the pulse is analyzed. The results are generalized for the bosonic system with pairing under the action of the pulse (quench).
机译：研究了费米子系统在外部电势的脉冲（或猝灭）作用下的成对演化。在动态状态下，费米子的数量随脉冲的持续时间（或猝灭时间的函数）而变化（伴随着跳动），该值大约由脉冲的大小确定。振荡取决于电势和脉冲的值。这些振荡的参数允许确定动态量子相变的特征，例如一维系统中的费舍尔零。零配对不存在这种效果。特别地，拓扑超导体对脉冲的响应表现出动态振荡，这对于其中可能发生拓扑超导的参数范围最为明显。分析了马约拉纳边沿状态对脉冲的响应。对于具有脉冲（猝灭）作用的配对的玻色子系统，可以得出一般的结果。

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