One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap

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Yajiang Hao,¹ Yunbo Zhang,² and Shu Chen¹
¹Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
²Department of Physics and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, People's Republic of China

Received 27 August 2007; published 3 December 2007

Weinvestigate the ground state of the one-dimensional fermionic system enclosedin a hard-wall trap with attractive contact p-wave interactions. Basedon the Bethe ansatz method, the explicit wave function isderived by numerically solving the Bethe ansatz equations for thefull physical regimes (− [infinity] c_F0). With the exact wave function somequantities which are important in many-body physics are obtained, includingthe one-body density matrix and the momentum distribution of theground state for finite system. It is shown that theshell structure of the density profiles disappears with the increaseof the interaction and in the fermionic Tonks-Girardeau limit thedensity distribution shows the same behavior as that of anideal Bose gas. However, the one-body density matrix and themomentum distribution exhibit completely different structures compared with their bosoniccounterparts.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.76.063601
DOI:	10.1103/PhysRevA.76.063601
PACS:	03.75.Hh; 05.30.Fk; 05.30.Jp; 67.40.Db 03.75.Hh Static properties of Bose-Einstein condensates; thermodynamical, statistical, and structural properties 05.30.Fk Fermion systems and electron gas (quantum statistical mechanics) 05.30.Jp Boson systems (quantum statistical mechanics) 67.40.Db Quantum statistical theory; ground state, elementary excitations (liquid ⁴He) YEAR: 2007
KEYWORDS:	fermion systems, wave functions

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