论文标题
自由费米的非自动随机动力学中的紧急形式对称性
Emergent conformal symmetry in non-unitary random dynamics of free fermions
论文作者
论文摘要
我们提出了一个空间维度中游离费米的非自然量子动力学的随机量子电路模型。数值模拟表明，动力学趋向于稳定状态，违反了纠缠区法律和权力法相关功能。此外，从短距离纠缠的多体状态开始，纠缠和相关性的动态演变与二维形式结构场理论的预测与空间样的时间方向相吻合。我们认为，这种行为在非独立的自由量子动力学中具有时间相关的随机性是一般性的，并表明两点函数的新兴共形动力学是由简单的“非线性主方程”引起的。
We present random quantum circuit models for non-unitary quantum dynamics of free fermions in one spatial dimension. Numerical simulations reveal that the dynamics tends towards steady states with logarithmic violations of the entanglement area law and power law correlation functions. Moreover, starting with a short-range entangled many-body state, the dynamical evolution of entanglement and correlations quantitatively agrees with the predictions of two-dimensional conformal field theory with a space-like time direction. We argue that this behavior is generic in non-unitary free quantum dynamics with time-dependent randomness, and show that the emergent conformal dynamics of two-point functions arises out of a simple "nonlinear master equation".
