WebAug 4, 2024 · Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of a possible gravity dual, and a simple toy quantum model showing the growth is being looked for. We consider a system of two harmonic oscillators coupled nonlinearly with each other, and numerically observe that the thermal OTOC grows exponentially in time. … WebOct 26, 2024 · where and are the momentum and position operators, C cl (t) is the classical counterpart of C(t).Then, we can see the intrinsic relation of C(t) with classical chaos, which attracts a lot of interest [5–8].Over years of studies, OTOC is proved to be powerful in different scenarios including many-body localization, [9–11] information scrambling [] and …
Out-of-time-order correlator in coupled harmonic oscillators
WebMay 24, 2024 · For an alternative perspective on the OTOC in 1+1D, we map it to the partition function of an Ising-like model. As a result of special structure arising from unitarity, this partition function reduces to a random walk calculation which can be performed exactly. We also use this mapping to give exact results for entanglement growth in 1+1D circuits. WebNov 27, 2024 · Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs… Expand 7 PDF Out-of-time-order correlation as a witness for topological phase transitions Qian Bin, Liang-Liang Wan, F. Nori, Ying-Li Wu, … aib finance calculator
[1906.02219] A Separation of Out-of-time-ordered Correlation and ...
WebJan 29, 2024 · We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between OTOC and LE for infinite dimensions and extend it for higher-order OTOCs and multi-fold LEs. Novel applications … WebJan 31, 2024 · Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local operators are bounded, an OTOC of local observables is bounded as well and thus its exponential … WebJun 3, 2024 · Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs… Expand 7 PDF Out‐of‐Time‐Order Correlators and Quantum Phase Transitions in the Rabi and Dicke Models aibe registration