scholarly journals Breakdown of Universality for Unequal-Mass Fermi Gases with Infinite Scattering Length

2010 ◽  
Vol 105 (17) ◽  
Author(s):  
D. Blume ◽  
K. M. Daily
Keyword(s):  
Scattering Length ◽  
Fermi Gases ◽  
Unequal Mass

The scattering length effect on properties of cold interacting Fermion systems in LOCV framework

2020 ◽  
Vol 29 (04) ◽  
pp. 2050019
Author(s):  
E. Gholami Hatam ◽  
H. R. Moshfegh
Keyword(s):  
Exact Solution ◽  
Wave Scattering ◽  
Scattering Length ◽  
Wave Number ◽  
Fermi Gases ◽  
S Wave ◽  
Length Effect ◽  
Fermion Systems ◽  
Fermi Wave Number ◽  
Hyperbolic Potential

The properties of cold interacting Fermi gases in terms of scattering length are investigated. The scattering length is calculated by exact solution of Schrödinger equation. A Cosine hyperbolic potential with variable strength is employed in this study. The different interaction regimes are provided by choosing different strength of potential, which are characterized by an inverse of S-wave scattering length and Fermi wave number. The energy per particle for 3He system is calculated within the lowest order constrained variational (LOCV) method. It is found that the bound bosonic pairs as well as bound molecules are formed at positive scattering length, only by considering two-body interactions.

scholarly journals INTERACTING BOSE AND FERMI GASES IN LOW DIMENSIONS AND THE RIEMANN HYPOTHESIS

2008 ◽  
Vol 23 (09) ◽  
pp. 1371-1391 ◽  
Author(s):  
ANDRÉ LECLAIR
Keyword(s):  
Free Energy ◽  
Finite Temperature ◽  
Riemann Hypothesis ◽  
Scattering Length ◽  
Fermi Gases ◽  
Dimensional Case ◽  
Low Dimensions ◽  
S Matrix ◽  
Fermionic Case ◽  
Body Potential

We apply the S-matrix based finite temperature formalism to nonrelativistic Bose and Fermi gases in 1+1 and 2+1 dimensions. For the (2+1)-dimensional case in the constant scattering length approximation, the free energy is given in terms of Roger's dilogarithm in a way analagous to the thermodynamic Bethe ansatz for the relativistic (1+1)-dimensional case. The 1d fermionic case with a quasiperiodic two-body potential is closely connected with the Riemann hypothesis.

SUPERFLUID REGIMES IN DEGENERATE ATOMIC FERMI GASES

2006 ◽  
Vol 20 (19) ◽  
pp. 2739-2754
Author(s):  
G. V. SHLYAPNIKOV
Keyword(s):  
Scattering Length ◽  
Fermi Gases ◽  
Einstein Condensation ◽  
Weakly Bound ◽  
Future Studies ◽  
Bose Einstein Condensation ◽  
Ultracold Fermi Gases ◽  
Fermionic Atoms ◽  
Atom Interaction ◽  
Bose Einstein

We give a brief overview of recent studies of quantum degenerate regimes in ultracold Fermi gases. The attention is focused on the regime of Bose-Einstein condensation of weakly bound molecules of fermionic atoms, formed at a large positive scattering length for the interspecies atom-atom interaction. We analyze remarkable collisional stability of these molecules and draw prospects for future studies.

scholarly journals Superfluid Fermi Gases with Large Scattering Length

2003 ◽  
Vol 91 (5) ◽  
Author(s):  
J. Carlson ◽  
S.-Y. Chang ◽  
V. R. Pandharipande ◽  
K. E. Schmidt
Keyword(s):  
Scattering Length ◽  
Fermi Gases ◽  
Superfluid Fermi
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