Quons Restricted to the Antisymmetric Subspace: Formalism and Applications

In this work we develop a formalism to treat quons restricted to the antisymmetric part of their many-body space. A model in which a system of identical quons interact through a pairing force is then solved within this restriction and the differences between our solution and the usual fermionic model solution are then presented and discussed in detail. Possible connections to physical systems are also considered.Comment: 12 pages, 3 figure

Non-Equilibrium Bose-Einstein-Like Condensation

The original Bose-Einstein condensation (BEC) was theoretically established in the 1920s, for the case of an ideal gas of boson particles (a consequence of the symmetry of the wave function). In the 1990s, it was realized in systems of atomic alkali gases. At the beginning of the 21st century, investigators considered its emergence in solid-state matter, and a BEC-like phenomenon was observed in the case of bosonic quasiparticles (elementary excitations in solids). Both types of BEC can occur in a condensation in conditions of thermodynamic equilibrium. A third type of what has been dubbed a BEC in non-equilibrium conditions can occur in systems of bosonic quasiparticles (phonons, magnons, excitons); this phenomenon (which can be considered as cases of systems with complex behavior) follows after a certain threshold of intensity of an external pumping source is achieved. In this review, after brief comments on the two types of BEC in equilibrium, a description is presented on how a BEC-like phenomenon arises in systems of quasiparticles that are driven away from thermodynamic equilibrium, and several examples are described. This description is given within a unique theoretical framework, and a comparison with experimental results is performed; in addition, the possible technological applications are outlined.Pontifical Catholic Univ Goias, Sch Exact Sci & Comp, BR-74605010 Goiania, Go, BrazilUniv Estadual Paulista UNESP, Lab Modelagem Matemat Biosistemas, BR-11330900 Sao Vicente, SP, BrazilGleb Wataghin State Univ Campinas Unicamp, Inst Phys, Condensed Matter Phys Dept, BR-13083859 Campinas, SP, BrazilUniv Estadual Paulista UNESP, Lab Modelagem Matemat Biosistemas, BR-11330900 Sao Vicente, SP, Brazi