



@article {2374,
	title = {Chaos in a quantum rotor model},
	year = {2019},
	month = {01/29/2019},
	abstract = {<p>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 1M. At high temperature, the Lyapunov exponent limits to a value set by the microscopic couplings, while at low temperature, the exponent exhibits a T4 dependence on temperature T.\&nbsp;</p>},
	url = {https://arxiv.org/abs/1901.10446},
	author = {Gong Cheng and Brian Swingle}
}
