Tunneling time in fluctuating symmetric double wells: Suppression and enhancement of tunneling by spatial symmetry-preserving perturbations

► Spatial symmetry-preserving sinusoidal and rectified sinusoidal fluctuations of symmetrical double-well parameters have contrasting effects on tunneling. ► Sinusoidal fluctuations at frequency ω ≈ ω0 causes resonance enhancement of tunneling, ω0 being the 0+ ↔ 1+ transition frequency. ► Under rectified sinusoidal fluctuations at a frequency ω≈12ω0 suppression or coherent destruction of tunneling is observed due to barrier localization. ► The observations are explained by energy-gain analysis and analysis of the time-dependent overlap amplitudes.