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• W2914086553 abstract "We study scrambling in a model consisting of a number $N$ of $M$-component quantum rotors coupled by random infinite-range interactions. This model is known to have both a paramagnetic phase and a spin glass phase separated by second order phase transition. We calculate in perturbation theory the squared commutator of rotor fields at different sites in the paramagnetic phase, to leading non-trivial order at large $N$ and large $M$. This quantity diagnoses the onset of quantum chaos in this system, and we show that the squared commutator grows exponentially with time, with a Lyapunov exponent proportional to $frac{1}{M}$. At high temperature, the Lyapunov exponent limits to a value set by the microscopic couplings, while at low temperature, the exponent exhibits a $T^4$ dependence on temperature $T$." @default.
• W2914086553 created "2019-02-21" @default.
• W2914086553 creator A5046274191 @default.
• W2914086553 creator A5087486799 @default.
• W2914086553 date "2019-01-29" @default.
• W2914086553 modified "2023-10-12" @default.
• W2914086553 title "Chaos in a quantum rotor model" @default.
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• W2914086553 hasPublicationYear "2019" @default.
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