论文标题
量子场理论中的Krylov复杂性
Krylov Complexity in Quantum Field Theory
论文作者
论文摘要
在本文中，我们研究了量子场理论中的Krylov复杂性，并与全息“复杂性等于体积”的猜想建立联系。当Krylov的基础与Fock基础匹配时，对于几个有趣的设置，我们观察到Krylov的复杂性等于平均粒子数，表明该复杂性尺度与体积相比。使用类似的形式主义，我们计算自由标量场理论的Krylov复杂性，并发现与全息图令人惊讶的相似之处。我们还扩展了这个框架理论的框架，在该理论中，倒振荡器自然而然地出现并探索其混乱行为。
In this paper, we study the Krylov complexity in quantum field theory and make a connection with the holographic "Complexity equals Volume" conjecture. When Krylov basis matches with Fock basis, for several interesting settings, we observe that the Krylov complexity equals the average particle number showing that complexity scales with volume. Using similar formalism, we compute the Krylov complexity for free scalar field theory and find surprising similarities with holography. We also extend this framework for field theory where an inverted oscillator appears naturally and explore its chaotic behavior.
