论文标题
带有张量网络的二维开放量子晶格模型的动力学
Dynamics of two-dimensional open quantum lattice models with tensor networks
论文作者
论文摘要
能够准确地描述驱动和/或耗散但量子相关的晶格模型的动态和稳态在许多科学领域至关重要：从量子信息到生物学。在两个空间维度中对大型开放系统进行有效的数值模拟是一个挑战。在这项工作中，我们基于无限的纠缠对算子（IPEPO）ANSATZ开发张量化网络方法，直接适用于热力学极限。我们结合了通过优化适合开放系统的目标函数来查找扩大网络债券的最佳截断的技术。对于动力学和稳态，与数值精确计算的比较证明了该方法的功能。特别是，我们考虑在非均值野外限制下耗散性横向量子和驱动的硬核玻色子模型，证明能够在存在耗散的情况下捕获实质性的纠缠。我们的方法使研究能够研究当前实验可访问但远远超出现有技术的适用性。
Being able to describe accurately the dynamics and steady-states of driven and/or dissipative but quantum correlated lattice models is of fundamental importance in many areas of science: from quantum information to biology. An efficient numerical simulation of large open systems in two spatial dimensions is a challenge. In this work, we develop a tensor network method, based on an infinite Projected Entangled Pair Operator (iPEPO) ansatz, applicable directly in the thermodynamic limit. We incorporate techniques of finding optimal truncations of enlarged network bonds by optimising an objective function appropriate for open systems. Comparisons with numerically exact calculations, both for the dynamics and the steady-state, demonstrate the power of the method. In particular, we consider dissipative transverse quantum Ising and driven-dissipative hard core boson models in non-mean field limits, proving able to capture substantial entanglement in the presence of dissipation. Our method enables to study regimes which are accessible to current experiments but lie well beyond the applicability of existing techniques.
