论文标题
用量子混乱的探针诊断一阶和二阶相变
Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
论文作者
论文摘要
我们使用两个量子混乱的探针探索量子相变点：超级阶外相关器（OTOC）和从级别间距统计数据中获得的$ R $ - 参数。特别是，我们解决了与量子退火或反向退火相关的$ p $ spin模型。量子退火触发一阶或二阶相变，这对于量子设备的性能至关重要。我们发现，基地状态的时间平均度和相应过渡点周围的平均$ r $ r $ - 参数变化行为，从而诊断出相变。此外，他们可以通过量子过渡点的行为来识别其相变的顺序（第一或第二个），在一阶（二阶）相变的情况下，量子过渡点突然变化（平稳）。
We explore quantum phase transitions using two probes of quantum chaos: out-of-time-order correlators (OTOCs) and the $r$-parameter obtained from the level spacing statistics. In particular, we address $p$-spin models associated with quantum annealing or reverse annealing. Quantum annealing triggers first-order or second-order phase transitions, which is crucial for the performance of quantum devices. We find that the time-averaging OTOCs for the ground state and the average $r$-parameter change behavior around the corresponding transition points, diagnosing the phase transition. Furthermore, they can identify the order (first or second) of the phase transition by their behavior at the quantum transition point, which changes abruptly (smoothly) in the case of first-order (second-order) phase transitions.
