Finite-time Landauer principle beyond weak coupling

Abstract

Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer's principle for a bit encoded in the occupation of a single fermionic mode, which can be strongly coupled to a reservoir. By solving the exact non-equilibrium dynamics, we optimize erasure processes (taking both the fermion's energy and system-bath coupling as control parameters) in the slow driving regime through a geometric approach to thermodynamics. We find analytic expressions for the thermodynamic metric and geodesic equations, which can be solved numerically. Their solution yields optimal processes that allow us to characterize a finite-time correction to Landauer's bound, fully taking into account non-markovian and strong coupling effects.

Main text: 9 pages, 2 figures. Whole document: 31 pages, 8 figures

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• Information geometry of transitions between quantum nonequilibrium steady states
• Emergent Liouvillian exceptional points from exact principles
• Quantum stochastic thermodynamics in the mesoscopic-leads formulation
• Rapid optimal work extraction from a quantum-dot information engine
• Minimizing Dissipation via Interacting Environments: Quadratic Convergence to Landauer Bound
• Extra cost of erasure due to quantum lifetime broadening
• Quantum detectors as autonomous machines: assessing the nonequilibrium thermodynamics of information acquisition
• Entropy production versus memory effects in two-level open quantum systems