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首页> 外文期刊>The Journal of Chemical Physics >Dynamics of local symmetry correlators for interacting many-particle systems
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Dynamics of local symmetry correlators for interacting many-particle systems

机译：局部对称相关器的互动互动互动的动态

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摘要

Recently [P.A. Kalozoumis et al. Phys. Rev. Lett. 113, 050403 (2014)] the concept of local symmetries in one-dimensional stationary wave propagation has been shown to lead to a class of invariant two-point currents that allow to generalize the parity and Bloch theorem. In the present work, we establish the theoretical framework of local symmetries for higher-dimensional interacting many-body systems. Based on the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy, we derive the equations of motion of local symmetry correlators which are off-diagonal elements of the reduced one-body density matrix at symmetry related positions. The natural orbital representation yields equations of motion for the convex sum of the local symmetry correlators of the natural orbitals as well as for the local symmetry correlators of the individual orbitals themselves. An alternative integral representation with a unique interpretation is provided. We discuss special cases, such as the bosonic and fermionic mean field theory, and show in particular that the invariance of two-point currents is recovered in the case of the non-interacting one-dimensional stationary wave propagation. Finally we derive the equations of motion for anomalous local symmetry correlators which indicate the breaking of a global into a local symmetry in the stationary non-interacting case. Published by AIP Publishing.
机译：最近[p.a. Kalozoumis等人。物理。 rev. lett。 113,050403（2014）]已经显示了一维固定波传播中的局部对称性的概念，以导致一类不变的两点电流，允许概括平价和Bloch定理。在目前的工作中，我们建立了局部对称的理论框架，用于高维相互作用的许多身体系统。基于Bogoliubov出生 - Gren-Green-Kirkwood-Yvon层次结构，我们派生了局部对称相关器的局部对称相关器的运动方程，其在对称相关位置处于减小的单体密度矩阵的偏差元件。天然轨道表示产生了自然轨道的局部对称相关器的凸和凸和的运动方程以及个体轨道本身的局部对称相关器。提供具有唯一解释的替代积分表示。我们讨论特殊情况，例如伴者和FEREMIONIC平均场理论，特别地显示出在非交互一维静止波传播的情况下恢复两点电流的不变性。最后，我们派生了对异常局部对称相关器的运动方程，其指示静止的非交互案件中的全局变成局部对称性。通过AIP发布发布。

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