We study the effect of an applied magnetic field on the nonequilibrium transport properties of a general cubic quantum network described by a tight-binding Hamiltonian with specially designed couplings to the leads that preserve open-system symmetries. We demonstrate that the symmetry of open systems can be manipulated by the direction of the magnetic field. Starting with all the symmetries preserved in absence of a field, the anisotropic and isotropic fields systematically break the symmetries, influencing all nonequilibrium properties. For simple cubic systems, we are able to identify the steady states that comprise of pure states, bath-dependent states (nonequilibrium steady states), and also nonphysical states. As an application, we show numerically for large cubic networks that the symmetry breaking can control nonequilibrium currents and that different environmental interactions can lead to novel features which can be engineered in artificial super-lattices and cold atoms.

中文翻译：

---

非平衡量子网络中的磁场诱导对称性破缺。

我们研究了外加磁场对一般立方量子网络的非平衡传输特性的影响，该网络由紧束缚哈密顿量描述，该网络具有专门设计的与保持开放系统对称性的引线的耦合。我们证明了开放系统的对称性可以通过磁场的方向来操纵。从在没有场的情况下保留的所有对称性开始，各向异性和各向同性场系统地打破对称性，影响所有非平衡特性。对于简单的立方系统，我们能够识别由纯状态、浴依赖状态（非平衡稳态）和非物理状态组成的稳态。作为应用程序，