Quadratic Growth of Out-of-Time-Ordered Correlators in Quantum Kicked Rotor Model

Autor: Guanling Li, Wenlei Zhao
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Entropy, Vol 26, Iss 3, p 229 (2024)
Druh dokumentu: article
ISSN: 1099-4300
DOI: 10.3390/e26030229
Popis: We investigate both theoretically and numerically the dynamics of out-of-time-ordered correlators (OTOCs) in quantum resonance conditions for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly quantify their commutation relation at different times, therefore unveiling the process of quantum scrambling. With the help of quantum resonance condition, we have deduced the exact expressions of quantum states during both forward evolution and time reversal, which enables us to establish the laws governing OTOCs’ time dependence. We find interestingly that the OTOCs of different types increase in a quadratic function of time, breaking the freezing of quantum scrambling induced by the dynamical localization under non-resonance condition. The underlying mechanism is discovered, and the possible applications in quantum entanglement are discussed.
Databáze: Directory of Open Access Journals
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