A Schmidt decomposition approach to quantum thermodynamics
- URL: http://arxiv.org/abs/2205.06917v2
- Date: Wed, 10 Aug 2022 19:25:31 GMT
- Title: A Schmidt decomposition approach to quantum thermodynamics
- Authors: Andr\'e Malavazi, Frederico Brito
- Abstract summary: We propose a novel approach to describe the thermodynamics of arbitrary bipartite autonomous quantum systems.
This formalism provides a simple, exact and symmetrical framework for expressing the energetics between interacting systems.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The development of a self-consistent thermodynamic theory of quantum systems
is of fundamental importance for modern physics. Still, despite its essential
role in quantum science and technology, there is no unifying formalism for
characterizing the thermodynamics within general autonomous quantum systems,
and many fundamental open questions remain unanswered. Along these lines, most
current efforts and approaches restrict the analysis to particular scenarios of
approximative descriptions and semi-classical regimes. Here we propose a novel
approach to describe the thermodynamics of arbitrary bipartite autonomous
quantum systems based on the well-known Schmidt decomposition. This formalism
provides a simple, exact and symmetrical framework for expressing the
energetics between interacting systems, including scenarios beyond the standard
description regimes, such as strong coupling. We show that this procedure
allows a straightforward identification of local effective operators suitable
for characterizing the physical local internal energies. We also demonstrate
that these quantities naturally satisfy the usual thermodynamic notion of
energy additivity.
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