Information and Thermodynamics: Fast and Precise Approach to Landauer’s Bound in an Underdamped Micromechanical Oscillator

The Landauer principle states that at least $k_B T \ln 2$ of energy is required to erase a 1-bit memory, with T$ the thermal system. We study effects inertia on this bound using as one-bit memory an underdamped micro-mechanical oscillator confined in double-well potential created by feedback loop. barrier precisely tunable few range. measure, within stochastic thermodynamic framework, work and heat erasure protocol. demonstrate experimentally theoretically that, system, reached 1 % uncertainty, protocols short 100 ms.