在Haldar等人近期的一项数值研究(Phys. Rev. X 11, 031062)中,研究人员发现在特定量子猝灭后的早期和中间时间,可以观测到邻近量子临界点的特征。该研究主要聚焦于轴向次近邻伊辛(axial next-nearest neighbour Ising,ANNNI)模型的情形。本文构建了一种简单的含时平均场理论,能够对这些短时间猝灭过程给出定量准确的描述,出于我们阐释的原因,该理论在长时间下仍是合理的近似(存在一些保留条件)。我们的方法为理解已报道的数值结果,以及通过猝灭动力学探测量子临界点的基本限制提供了一个简单框架。此外,我们还解释了在多种可观测量中观测到的特殊振荡行为的起源,其源于长寿命束缚态的形成。
英文摘要:
In a recent numerical study by Haldar et al. (Phys. Rev. X 11, 031062) it was shown that signatures of proximate quantum critical points can be observed at early and intermediate times after certain quantum quenches. Said work focused mainly on the case of the axial next-nearest neighbour Ising (ANNNI) model. Here we construct a simple time-dependent mean-field theory that allows us to obtain a quantitatively accurate description of these quenches at short times, which for reasons we explain remains a fair approximation at late times (with some caveats). Our approach provides a simple framework for understanding the reported numerical results as well as fundamental limitations on detecting quantum critical points through quench dynamics. We moreover explain the origin of the peculiar oscillatory behaviour seen in various observables as arising from the formation of a long-lived bound state.
Boundary quenches in (1+1)-dimensional conformal field theory
SISSA and INFN(的里雅斯特高等研究学院和意大利国家核物理研究所);Southern Denmark University(南丹麦大学);Coventry University(考文垂大学);Ben-Gurion University of the Negev(内盖夫本-古里安大学);Tel Aviv University(特拉维夫大学)
Work and heat exchanged during sudden quenches of strongly coupled quantum systems
University of Maryland, College Park(马里兰大学帕克分校);Joint Center for Quantum Information and Computer Science, NIST and University of Maryland, College Park(美国国家标准与技术研究院与马里兰大学量子信息与计算联合中心);NSF Institute for Robust Quantum Simulation, University of Maryland, College Park(马里兰大学国家科学基金会稳健量子模拟研究所);Department of Chemistry and Biochemistry, University of Maryland, College Park(马里兰大学化学与生物化学系);Institute for Physical Science and Technology, University of Maryland, College Park(马里兰大学物理科学与技术研究所);Department of Physics, University of Maryland, College Park(马里兰大学物理系);InQubator for Quantum Simulation (IQuS), Department of Physics, University of Washington, Seattle(华盛顿大学物理系量子模拟创新中心);Center for Quantum Information and Control, University of New Mexico, Albuquerque(新墨西哥大学量子信息与控制中心);Department of Physics and Astronomy, University of New Mexico, Albuquerque(新墨西哥大学物理与天文学系)