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• W3038634237 abstract "It was conjectured by Maldacena, Shenker and Stanford that the classical chaos can be diagnosed in thermal quantum systems by using an out-of-time-order correlation function. The Artin dynamical system defined on the fundamental region of the modular group SL(2,Z) represents a well defined example of a highly chaotic dynamical system in its classical regime. We investigated the influence of the classical chaotic behaviour on the quantum–mechanical properties of the Artin system calculating the corresponding out-of-time-order thermal quantum–mechanical correlation functions. We demonstrated that the two- and four-point correlation functions of the Liouiville-like operators decay exponentially with temperature dependent exponents and that the square of the commutator of the Liouiville-like operators separated in time grows exponentially." @default.
• W3038634237 created "2020-07-10" @default.
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• W3038634237 date "2020-06-30" @default.
• W3038634237 modified "2023-09-30" @default.
• W3038634237 title "Correlation Functions of Quantum Artin System" @default.
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• W3038634237 doi "https://doi.org/10.3390/universe6070091" @default.
• W3038634237 hasPublicationYear "2020" @default.
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