Faster entanglement driven by quantum resonance in many-body kicked rotors

Abstract

Quantum resonance in the paradigmatic kicked rotor system is a purely quantum effect that ignores the state of underlying classical chaos. In this work, it is shown that quantum resonance leads to superlinear entanglement production. In N interacting kicked rotors set to be at quantum resonance, entanglement growth is superlinear until a crossover timescale t*, beyond which growth slows down to a logarithmic form with superimposed oscillations. By mapping positional interaction to momentum space and analytically assessing the linear entropy, we unravel the mechanism driving these two distinct growth profiles. The analytical result obtained for the linear entropy agrees with the corresponding numerical simulations performed for two and three interacting kicked rotors. The late time entanglement oscillation is sensitive to changes in scaled Planck's constant with a high-quality factor suitable for high-precision measurements. These results are amenable to an experimental realization on atom optics setups.