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

Abstract

Attractive $p$-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.

7 pages, 4 figures

References in corpus (4)

• Bosonizing one-dimensional cold atomic gases
• Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
• Pairing of a harmonically trapped fermionic Tonks-Girardeau gas
• Universality of internal correlations of strongly interacting p-wave fermions in one-dimensional geometry

Cited by in corpus (2)

• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Bardeen-Cooper-Schrieffer State Representation and Pairing in the Fermionic Tonks-Girardeau Gas