期刊
PHYSICAL REVIEW LETTERS
卷 121, 期 1, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.121.016801
关键词
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资金
- National Research, Development and Innovation Office NKFIH within the Quantuin Technology National Excellence Program [2017-1.2.1-NKP-2017-00001, K105149, K108676, SNN118028, K119442]
- Romanian UEFISCDI [PN-III-P4-ID-PCE-2016-0032]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme [771537]
- DFG Research Unit [FOR 1807, PO 1370/21, TRR80]
- Nanosystems Initiative Munich by the German Excellence Initiative
- Deutsche Forschungsgemeinschaft via the Gottfried Wilhelm Leibniz Prize program
Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying quantum information transport, information scrambling, and quantum chaos. In this Letter, we show that such an OTO correlator can also be used to dynamically detect equilibrium as well as nonequilibrium phase transitions in Ising chains. We study OTO correlators of an order parameter both in equilibrium and after a quantum quench for different variants of transverse-field Ising models in one dimension, including the integrable one as well as nonintegrable and long-range extensions. We find for all the studied models that the OTO correlator in ground states detects the quantum phase transition. After a quantum quench from a fully polarized state, we observe numerically for the short-range models that the asymptotic long-time value of the OTO correlator signals still the equilibrium critical points and ordered phases. For the long-range extension, the OTO correlator instead determines a dynamical quantum phase transition in the model. We discuss how our findings can be observed in current experiments of trapped ions or Rydberg atoms.
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