SKM 2023 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 55: Dynamics and Chaos in Many-Body Systems II (joint session DY/TT)
DY 55.5: Vortrag
Freitag, 31. März 2023, 10:30–10:45, MOL 213
Dynamical correlations and domain wall relocalisation in transverse field Ising chains — •Philippe Suchsland1, Benoît Douçot2, Vedika Khemani3, and Roderich Moessner1 — 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 2LPTHE, UMR 7589, CNRS and Sorbonne Université, 75252 Paris Cedex 05, France — 3Department of Physics, Stanford University, Stanford, California 94305, USA
We study order parameters and out-of-time-ordered correlators (OTOCs) for a wide variety of transverse field Ising chains: classical and quantum, clean and disordered, integrable and generic. The setting we consider is that of a quantum quench. We find a remarkably rich phenomenology, ranging from stable periodic to signals decaying with varying rates. This variety is due to a complex interplay of dynamical constraints (imposed by integrability and symmetry) which thermalisation is subject to. In particular, a process we term dynamical domain wall relocalisation provides a long-lived signal in the clean, integrable case, which can be degraded by the addition of disorder even without interactions. Our results shed light on a proposal to use an OTOC specifically as a local dynamical diagnostic of a quantum phase transition even when evaluated in a state with an energy density corresponding to the paramagnetic phase.