论文标题
重新归一致的$ 1/n $扩展的爆炸关键多体系统的出现
Emergence of a Renormalized $1/N$ Expansion in Quenched Critical Many-Body Systems
论文作者
论文摘要
我们考虑到不稳定多体量子系统的$ 1/n $扩展的命运，这是通过遍布关键的淬火所实现的，并显示出$ {\ rm e}^{2λt}/n $的出现，作为一种重量化的参数，统治了量子型过渡和不适当地核算当地drive $ pries $^field $^field。就$ {\ rm e}^{2λt}/n $而言，临界范式的范式示例的准经典扩展，例如可集成的玻色粘合剂二聚体中的自吸引力过渡以及有吸引力的波索克人对孤子形成的通用性不稳定性，将其推向任意高级数。与数值仿真的协议在适当合并的长期$λt\ to \ infty $ quasicalical $ n \ to \ infty $制度中支持了我们结果的一般性质，这是裸露参数$ 1/n $的扩展。为了在多体双曲系统中争夺，我们的结果为猜想的超时订购相关器的猜想多形式提供了正式的理由。
We consider the fate of $1/N$ expansions in unstable many-body quantum systems, as realized by a quench across criticality, and show the emergence of ${\rm e}^{2λt}/N$ as a renormalized parameter ruling the quantum-classical transition and accounting nonperturbatively for the local divergence rate $λ$ of mean-field solutions. In terms of ${\rm e}^{2λt}/N$, quasiclassical expansions of paradigmatic examples of criticality, like the self-trapping transition in an integrable Bose-Hubbard dimer and the generic instability of attractive bosonic systems toward soliton formation, are pushed to arbitrarily high orders. The agreement with numerical simulations supports the general nature of our results in the appropriately combined long-time $λt\to \infty$ quasiclassical $N\to \infty$ regime, out of reach of expansions in the bare parameter $1/N$. For scrambling in many-body hyperbolic systems, our results provide formal grounds to a conjectured multiexponential form of out-of-time-ordered correlators.
