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arXiv 1712.04474quant-phcond-mat.mes-hallcond-mat.stat-mech
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光在一维相互作用开放量子系统中的传播

Light propagation through one-dimensional interacting open quantum systems

Pooja Manasi, Dibyendu Roy

摘要:

本文应用量子朗之万方程方法研究了非线性光在一维相互作用开放量子晶格模型中的传播。我们写了一个大的量子朗之万方程的晶格运营商后,积分出的光场,并使用它们来获得非平衡功能的晶格模型。我们首先考虑一个具有最近邻耦合的自旋为1/2的类海森堡相互作用链。计算了入射单色激光的瞬态和稳态输运特性。我们发现了自旋链的局部特征和链长对光输运系数的依赖性如何随着入射光功率的增加而演变。在较高功率下的稳态光透射系数非单调地依赖于有限链中的相互作用。虽然在我们研究的模型中的非线性光传输似乎是弹道在没有相互作用和高的相互作用,它显示了一个明显的系统大小依赖于中间的相互作用。后来,我们将这种方法扩展到驱动耗散晶格模型的自旋之间的长程相互作用,并将在许多原子和固态系统中典型的各种损失。

英文摘要:

We apply the quantum Langevin equations approach to study nonlinear light propagation through one-dimensional interacting open quantum lattice models. We write a large set of quantum Langevin equations of lattice operators obtained after integrating out the light fields and use them to derive nonequilibrium features of the lattice models. We first consider a Heisenberg like interacting spin-1/2 chain with nearest-neighbor coupling. The transient and steady-state transport properties of an incoming monochromatic laser light are calculated for this model. We find how the local features of the spin chain and the chain length dependence of light transport coefficient evolve with an increasing power of the incident light. The steady-state light transmission coefficient at a higher power depends non-monotonically on the interaction in a finite chain. While the nonlinear light transmission in our studied model seems to be ballistic in the absence of interaction and for a high interaction, it shows an apparent system-size dependence at intermediate interactions. Later, we extend this method to the long-range interaction between spins of the driven-dissipative lattice model and to incorporate various losses typical in many atomic and solid-state systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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