An improved Landauer principle with finite-size corrections

By David Reeb, Michael M. Wolf. 2013

299 citations recorded by the source corpus.

Landauerʼs principle relates entropy decrease and heat dissipation during logically irreversible processes. Most theoretical justifications of Landauerʼs principle either use thermodynamic reasoning or rely on specific models based on arguable assumptions. Here, we aim at a general and minimal setup to formulate Landauerʼs principle in precise terms. We provide a simple and rigorous proof of an improved version of the principle, which is formulated in terms of an equality rather than an inequality. The proof is based on quantum statistical mechanics concepts rather than on thermodynamic argumentation. From this equality version, we obtain explicit improvements of Landauerʼs bound that depend on the effective size of the thermal reservoir and reduce to Landauerʼs bound only for infinite-sized reservoirs.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fa02aa38d450e95651e791822785e52cf7bd5856

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions (2016, background): “In presence of initial correlations, it is well-known that Landauer’s bound does not hold [49, 117].”
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production (2017, background): “(15) has been already identified with the second law [48] and the existence of a thermodynamic arrow of time [65, 66].”
Quantum thermodynamics (2015, unknown): “A recent analysis of Landauer’s principle [49] uses a framework of thermal operations , cf. Section 5, to obtain corrections to Landauer’s bound when the e ﬀ ective size of the thermal bath is ﬁnite.”
Autonomous quantum clocks: how thermodynamics limits our ability to measure time (2016, background): “In particular, the preparation (and reset) of the initial state of the register will generate entropy due to Landauer’s erasure principle [28,29].”
Irreversible entropy production: From classical to quantum (2020, background): “In this case, when ∆S S < 0, the following correction to (75) holds (Reeb and Wolf, 2014): QE > −T∆S S + 2T (∆S S )2 4 + ln2(dE − 1) .”
The role of quantum information in thermodynamics—a topical review (2015, background): “maybe attributed to the total correlations between the system and the reservoir [216] (we note that this derivation is entirely analogous to the formulation of the Landauer principle put forward by in [115]).”