Finite-time Landauer principle beyond weak coupling

Alberto Rolandi and Martí Perarnau-Llobet

Département de Physique Appliquée, Université de Genève, 1211 Genève, Switzerland

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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.

Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. However, reaching this limit requires an infinite amount of time. In this work, we combine finite-time quantum thermodynamics and geometric thermodynamics to investigate finite-time corrections to Landauer's principle. Previous works derive general bounds that are obtained from the weakly-coupled Markovian regime, but the strong coupling regime remained unexplored so far. Our work investigates this regime and shows that strong coupling is needed for optimal finite-time erasure. Furthermore, our results suggest the appearance of the Planckian dissipation time as the shortest timescale for information erasure.

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Cited by

[1] Alberto Rolandi, Paolo Abiuso, and Martí Perarnau-Llobet, "Collective Advantages in Finite-Time Thermodynamics", Physical Review Letters 131 21, 210401 (2023).

[2] Ricard Ravell Rodríguez, Mohammad Mehboudi, Michał Horodecki, and Martí Perarnau-Llobet, "Strongly coupled fermionic probe for nonequilibrium thermometry", New Journal of Physics 26 1, 013046 (2024).

[3] Shu-Nan Li and Bing-Yang Cao, "Thermodynamic costs of temperature stabilization in logically irreversible computation", Journal of Non-Equilibrium Thermodynamics 49 2, 115 (2024).

[4] Hong-Bo Huang, Geng Li, and Hui Dong, "Qubit Reset with a Shortcut-to-Isothermal Scheme", arXiv:2310.18997, (2023).

[5] Sayan Mondal, Aparajita Bhattacharyya, Ahana Ghoshal, and Ujjwal Sen, "Modified Landauer's principle: How much can the Maxwell's demon gain by using general system-environment quantum state?", arXiv:2309.09678, (2023).

The above citations are from Crossref's cited-by service (last updated successfully 2024-04-19 08:32:15) and SAO/NASA ADS (last updated successfully 2024-04-19 08:32:15). The list may be incomplete as not all publishers provide suitable and complete citation data.