Out‐of‐time‐ordered correlators in many‐body localized systems
By Yichen Huang, Yong-liang Zhang, Xie Chen. 2016
241 citations recorded by the source corpus.
In many‐body localized systems, propagation of information forms a light cone that grows logarithmically with time. However, local changes in energy or other conserved quantities typically spread only within a finite distance. Is it possible to detect the logarithmic light cone generated by a local perturbation from the response of a local operator at a later time? We numerically calculate various correlators in the random‐field Heisenberg chain. While the equilibrium retarded correlator A(t=0)B(t>0) is not sensitive to the unbounded information propagation, the out‐of‐time‐ordered correlator A(t=0)B(t>0)A(t=0)B(t>0) can detect the logarithmic light cone. We relate out‐of‐time‐ordered correlators to the Lieb‐Robinson bound in many‐body localized systems, and show how to detect the logarithmic light cone with retarded correlators in specially designed states. Furthermore, we study the temperature dependence of the logarithmic light cone using out‐of‐time‐ordered correlators.
Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/5ad2b5732bbbe0185ebd7794f0720ec9c6787c9a
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Measuring out-of-time-order correlators on a nuclear magnetic resonance quantum simulator (2016, background): “[12] Yichen Huang, Yong-Liang Zhang, and Xie Chen, “Outof-time-ordered correlator in many-body localized systems,” arXiv:1608.”
- Operator Spreading in Random Unitary Circuits (2017, background): “[41] Yichen Huang, Yong-Liang Zhang, and Xie Chen, “Out-of-time-ordered correlators in many-body localized systems,” Annalen der Physik (2016).”
- Onset of many-body chaos in the $O(N)$ model (2017, background): “At the other extreme, disordered quantum systems typically scramble much more slowly than their clean counterparts [22] [23] [24] [25] [26] [27].”
- Many-body localization: An introduction and selected topics (2017, unknown): “While there have been important pioneer experiments [211,212], the experimental determination of entanglement dynamics in a scalable two different locations in the system (non-local spin-echo spin-echo protocol) could pick up the weak interaction between the lioms, resulting in different signals for”
- Random Quantum Circuits (2022, methodology): “The OTOC has been used to diagnose the scrambling of locally-accessible quantum information (165, 166, 167), and its growth in time provides signatures of key properties of quantum many-body systems, including their chaotic (128, 168, 169, 170), disordered (171, 147, 172, 173, 174, 175, 176), or int”