Fermionic ground state at unitarity and Haldane exclusion statistics

Bhaduri, R. K. and Murthy, M. V. N. and Brack, M. (2008) Fermionic ground state at unitarity and Haldane exclusion statistics. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 41 (11): 115301. ISSN 0953-4075, 1361-6455

Full text not available from this repository.

Abstract

We consider a few-particle system of trapped neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate the energies and the spatial densities of the few-body systems using a generalization of the extended Thomas-Fermi (ETF) method, and assuming the particles obey the Haldane-Wu fractional exclusion statistics (FES) at unitarity. This method is different from the scaled ETF version given by Chang and Bertsch (2007 Phys. Rev. A 76 021603). Our semiclassical FES results are consistent with the Monte Carlo calculations of the above authors, but can hardly be distinguished from their overall scaling of the ETF result at unitarity.

Item Type: Article
Uncontrolled Keywords: MANY-BODY PROBLEM; BOSE-EINSTEIN CONDENSATION; ONE DIMENSION; FRACTIONAL-STATISTICS; IDEAL-GAS; THERMODYNAMICS; APPROXIMATION; MOLECULES; MODEL;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Oct 2020 08:26
Last Modified: 29 Oct 2020 08:26
URI: https://pred.uni-regensburg.de/id/eprint/30736

Actions (login required)

View Item View Item