2022/07/19 by Philippe Suchsland, Suchsland, Philippe, Benoît Douçot +5 · 2 citations
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2207.09502
openalex publication_date 2022/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study order parameters and out-of-time-ordered correlators (OTOCs) for a\nwide variety of transverse field Ising chains: classical and quantum, clean and\ndisordered, integrable and generic. The setting we consider is that of a\nquantum quench. We find a remarkably rich phenomenology, ranging from stable\nperiodic to signals decaying with varying rates. This variety is due to a\ncomplex interplay of dynamical constraints (imposed by integrability and\nsymmetry) which thermalisation is subject to. In particular, a process we term\ndynamical domain wall relocalisation provides a long-lived signal in the clean,\nintegrable case, which can be degraded by the addition of disorder even without\ninteractions. Our results shed light on a proposal to use an OTOC specifically\nas a local dynamical diagnostic of a quantum phase transition even when\nevaluated in a state with an energy density corresponding to the paramagnetic\nphase.\n