Information and thermodynamics: fast and precise approach to Landauer's bound in an underdamped micro-mechanical oscillator

Abstract

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

References in corpus (6)

• High-precision test of Landauer's principle in a feedback trap
• Optimal finite-time processes in stochastic thermodynamics
• Finite-time Landauer principle
• Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
• Finite-time erasing of information stored in fermionic bits
• An application of Pontryagin's principle to Brownian particle engineered equilibration

Cited by in corpus (43)

• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• Finite-Time Quantum Landauer Principle and Quantum Coherence
• Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
• Energy dynamics, heat production and heat-work conversion with qubits: towards the development of quantum machines
• Speed limit for a highly irreversible process and tight finite-time Landauer's bound
• Dynamics of information erasure and extension of Landauer's bound to fast processes
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Fundamental energy cost of finite-time computing
• E. Schrödinger's 1931 paper "On the Reversal of the Laws of Nature" ["Über die Umkehrung der Naturgesetze",Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalische mathematische Klasse, 8 N9 144-153]
• Finite-time Landauer principle beyond weak coupling
• Minimal Energy Cost to Initialize a Quantum Bit with Tolerable Error
• Thermodynamics of computations with absolute irreversibility, unidirectional transitions, and stochastic computation times
• Landauer Principle and Thermodynamics of Computation
• Adiabatic computing for optimal thermodynamic efficiency of information processing
• Optimal Control of Underdamped Systems: An Analytic Approach
• Learning efficient erasure protocols for an underdamped memory
• Inertial effects in discrete sampling information engines
• Geometric Brownian Information Engine: Essentials for the best performance
• Performance limits of information engines
• Convergence of the Integral Fluctuation Theorem estimator for nonequilibrium Markov systems
• Reliability and operation cost of underdamped memories during cyclic erasures
• Partially Observable Szilard Engines
• Information in feedback ratchets
• Minimal work protocols for inertial particles in non-harmonic traps
• Mesoscopic Quantum Thermo-mechanics: a new frontier of experimental physics
• Information engine fueled by first-passage times
• Experimentally achieving minimal dissipation via thermodynamically optimal transport
• Artificially intelligent Maxwell's demon for optimal control of open quantum systems
• Geodesic path for the optimal nonequilibrium transition: Momentum-independent protocol
• Logical and thermodynamical reversibility: optimized experimental implementation of the NOT operation
• A Shortcut to Finite-time Memory Erasure
• Generalized Landauer bound from absolute irreversibility
• Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems
• Experimental nonequilibrium memory erasure beyond Landauer's bound
• Increasing the clock speed of a thermodynamic computer by adding noise
• A perspective on Lindblad's Non-Equilibrium Entropy
• Optimally Fast Qubit Reset
• Entropic balance with feedback control: information equalities and tight inequalities
• Accelerating the heat diffusion: fast thermal relaxation of a microcantilever
• Optimal control of bit erasure in stochastic random access memory
• Time-cost-error trade-off relation in thermodynamics: The third law and beyond
• Thermodynamic optimization equalities in weakly driven processes
• Virtual double-well potential for an underdamped oscillator created by a feedback loop