Universal Landauer-Like Inequality from the First Law of Thermodynamics
- URL: http://arxiv.org/abs/2306.11230v2
- Date: Wed, 16 Aug 2023 01:27:22 GMT
- Title: Universal Landauer-Like Inequality from the First Law of Thermodynamics
- Authors: Junjie Liu and Hanlin Nie
- Abstract summary: We show that the first law of thermodynamics implies a universal Landauer-like inequality linking changes in system entropy and energy.
We illustrate the practical utility of the Landauer-like inequality in dissipative quantum state preparation and quantum information erasure applications.
- Score: 6.847295047818357
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: The first law of thermodynamics, which governs energy conservation, is
traditionally formulated as an equality. Surprisingly, we demonstrate that the
first law alone implies a universal Landauer-like inequality linking changes in
system entropy and energy. However, contrasting with the Landauer principle
derived from the second law of thermodynamics, our obtained Landauer-like
inequality solely relies on system information and is applicable in scenarios
where implementing the Landauer principle becomes challenging. Furthermore, the
Landauer-like inequality can complement the Landauer principle by establishing
a dual {\it upper} bound on heat dissipation. We illustrate the practical
utility of the Landauer-like inequality in dissipative quantum state
preparation and quantum information erasure applications. Our findings offer
new insights into identifying thermodynamic constraints relevant to the fields
of quantum thermodynamics and the energetics of quantum information processing
and more specifically, this approach could facilitate investigations into
systems coupled to non-thermal baths or scenarios where access to bath
information is limited.
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