Desde el Grupo de Termodinámica y Computación Cuántica (QTCG) de la Universidad de Granada  les invitamos al siguiente seminaro. 

Date and time: Wednesday, December 3rd. 12:00. 

Place: Aula de Física Computacional. Área de Física de la Materia (Planta baja del edificio de Física). Facultad de Ciencias.  

Title: Geometric foundations of thermodynamics in the quantum regime

Speaker: Álvaro Tejero, QTCG-UGR. 

Abstract: In this work, we present a comprehensive geometrical formulation of quantum thermodynamics based on contact geometry and principal fiber bundles. The quantum thermodynamic state space is modeled as a contact manifold, with equilibrium Gibbs states forming a Legendrian submanifold that encodes the fundamental thermodynamic relations. A principal fiber bundle over the manifold of density operators distinguishes the quantum state structure from thermodynamic labels: its fibers represent non-equilibrium configurations, and their unique intersections with the equilibrium submanifold enforce thermodynamic consistency. Quasistatic processes correspond to minimizing geodesics under the Bures-Wasserstein metric, leading to minimal dissipation, while the divergence of geodesic length toward rank-deficient states geometrically derives the third law. Non-equilibrium extensions, formulated through pseudo-Riemannian metrics and connections on the principal bundle, introduce curvature-induced holonomy that quantifies irreversibility in cyclic processes. In this framework, the thermodynamic laws in the quantum regime emerge naturally as geometric consequences. 

Reference: Á. Tejero, M. de la Rosa, Geometric foundations of thermodynamics in the quantum regime, arXiv:2511.10125 [math-ph] (2025)

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Atentamente,