驱动耗散系统的广义能量和时间平移不变性
Generalized energy and time-translation invariance in a driven, dissipative system
摘要：
驱动凝聚态系统一直对理论理解提出实质性挑战。使用Floquet形式主义已经取得了进展，这种系统的研究，但这种方法的某些方面还没有得到很好的理解。在本文中，我们考虑非常简单的情况下，通过弗洛凯理论的镜头在石墨烯的旋转凯库莱质量。我们表明，这个问题是规范等效的时间无关的问题的事实意味着“准能量”的Floquet理论对应于一个连续的对称性的完整的时间相关的拉格朗日。我们使用与这种对称性相关联的守恒Noether电荷来恢复平衡统计力学的概念。
英文摘要：
Driven condensed matter systems consistently pose substantial challenges to theoretical understanding. Progress in the study of such systems has been achieved using the Floquet formalism, but certain aspects of this approach are not well understood. In this paper, we consider the exceptionally simple case of the rotating Kekulé mass in graphene through the lens of Floquet theory. We show that the fact that this problem is gauge-equivalent to a time-independent problem implies that the "quasi-energies" of Floquet theory correspond to a continuous symmetry of the full time-dependent Lagrangian. We use the conserved Noether charge associated with this symmetry to recover notions of equilibrium statistical mechanics.
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