Universal composite boson formation in strongly interacting one-dimensional fermionic systems

Attractive ¿-wave one-dimensional fermions are studied in the fermionic Tonks-Girardeau regime in which the diagonal properties are shared with those of an ideal Bose gas. We study the off-diagonal properties and present analytical expressions for the eigenvalues of the one-body density matrix. One...

Descripción completa

Detalles Bibliográficos
Autores: Sabater García, Francesc, Rojo Francàs, Abel, Astrakharchik, Grigori|||0000-0003-0394-8094, Julià Díaz, Bruno
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/408725
Acceso en línea:https://hdl.handle.net/2117/408725
https://dx.doi.org/10.1103/PhysRevLett.132.193401
Access Level:acceso abierto
Palabra clave:Fermions
Bosons
Spinless fermions
1-dimensional systems
Àrees temàtiques de la UPC::Física
Descripción
Sumario:Attractive ¿-wave one-dimensional fermions are studied in the fermionic Tonks-Girardeau regime in which the diagonal properties are shared with those of an ideal Bose gas. We study the off-diagonal properties and present analytical expressions for the eigenvalues of the one-body density matrix. One striking aspect is the universality of the occupation numbers which are independent of the specific shape of the external potential. We show that the occupation of natural orbitals occurs in pairs, indicating the formation of composite bosons, each consisting of two attractive fermions. The formation of composite bosons sheds light on the pairing mechanism of the system orbitals, yielding a total density equal to that of a Bose-Einstein condensate.