Thermo Field Dynamics and quantum algebras
E.Celeghini, S.De Martino, S.De Siena, A.Iorio, M.Rasetti and, G.Vitiello
TL;DR
This paper explores the algebraic framework of Thermo Field Dynamics through the lens of $q$-deformed quantum algebras, highlighting the role of algebraic structures in thermal quantum systems.
Contribution
It identifies the algebraic properties of Thermo Field Dynamics as $q$-deformations of creation and annihilation operator algebras, linking them to specific quantum algebras.
Findings
Doubling of degrees of freedom corresponds to algebraic properties of $h_q(1)$ and $h_q(1|1)$.
Tilde-conjugation rules are recognized as algebraic features of these $q$-deformed algebras.
Bogoliubov transformations are characterized within this algebraic framework.
Abstract
The algebraic structure of Thermo Field Dynamics lies in the -deformation of the algebra of creation and annihilation operators. Doubling of the degrees of freedom, tilde-conjugation rules, and Bogoliubov transformation for bosons and fermions are recognized as algebraic properties of and of , respectively.
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