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Thermodynamic of ultracold gases through global variables, equilibrium and out of equilibrium

Grant number: 19/21137-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): July 01, 2020
Effective date (End): June 30, 2021
Field of knowledge:Physical Sciences and Mathematics - Physics - Atomic and Molecular Physics
Principal Investigator:Vanderlei Salvador Bagnato
Grantee:Ignacio Reyes Ayala
Home Institution: Instituto de Física de São Carlos (IFSC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:13/07276-1 - CEPOF - Optics and Photonic Research Center, AP.CEPID


For gases trapped in inhomogeneous potentials (harmonic, for example) the classic variables of volume and pressure are no longer adequate to describe the thermodynamics of the system, because the geometric volume occupied by the particles is not well dened. Nevertheless, new variables emerge for each potential called global variables, according to the formalism developed in Refs. [1, 2]. This theory allowsus to study thermodynamic susceptibilities near the critical point of the BEC transition, particularly, the isothermal compressibility and the specic heat from which one can nd the critical exponents of the transition [3, 4, 5]. The main objective of this work is to obtain the critical exponents alpha, beta and gamma [6] from experimental density proles of ultracold gases without assuming any model, that is, from directly reconstructing the three-dimensional density prole. (AU)