Finite-time Landauer principle

Abstract

We study the thermodynamic cost associated with the erasure of one bit of information over a finite amount of time. We present a general framework for minimizing the average work required when full control of a system's microstates is possible. In addition to exact numerical results, we find simple bounds proportional to the variance of the microscopic distribution associated with the state of the bit. In the short-time limit, we get a closed expression for the minimum average amount of work needed to erase a bit. The average work associated with the optimal protocol can be up to a factor of four smaller relative to protocols constrained to end in local equilibrium. Assessing prior experimental and numerical results based on heuristic protocols, we find that our bounds often dissipate an order of magnitude less energy.

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• Information and thermodynamics: fast and precise approach to Landauer's bound in an underdamped micro-mechanical oscillator
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• Universal Bound on Energy Cost of Bit Reset in Finite Time
• Optimal finite-time bit erasure under full control
• Optimal Control in Stochastic Thermodynamics
• Speed limit for a highly irreversible process and tight finite-time Landauer's bound
• Topological Speed Limit
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• Dynamics of information erasure and extension of Landauer's bound to fast processes
• Collective advantages in finite-time thermodynamics
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