Directional effects due to quantum statistics in dissociation of elongated molecular condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 4, 2009, Pages

  Ögren, Magnus ^a   Savage, C M ^b   Kheruntsyan, K V ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC FERMIONS; DIMERIC MOLECULES; DIRECTIONAL EFFECTS; GEOMETRIC STRUCTURE; LONG AXIS; MOLECULAR CONDENSATE; QUANTUM STATISTICS; ULTRA-COLD;

ANISOTROPY; BOSONS; DISSOCIATION; FERMIONS; MODEL STRUCTURES; STATISTICAL MECHANICS;

ATOMS;

EID: 66049098097     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.043624     Document Type: Article

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32. For a given atom-molecule scattering length, the respective s -wave interaction energy per particle can be made negligible by operating at much higher absolute values of the dissociation detuning |Δ|. This would, however, imply a higher velocity of the atoms, which may leave the molecular condensate region well before the atomic mode population reaches one and the difference between bosonic and fermionic statistics starts to show up. To surpass this problem one would need to use species with stronger values of the dissociation coupling χ in order to speed up the conversion and see the effects discussed here. While physically not impossible, this parameter regime would require a much larger computational lattice which is currently not feasible with our numerical method.
33. For these values of RTF,i = (2 U 22 (2D) ρM,0 / m2 ωi2) 1/2 (i=x,y), we have assumed the trap oscillation frequencies of ωx /2π=2 Hz and ωy /2π=20 Hz and used ρM,0 =3.2× 1012 m-2 as the 2D peak density of the molecular BEC. The effective 2D molecule-molecule interaction strength, U 22 (2D) = U 22 (3D) / (2π l2,z), where U 22 (3D) =4π 2 a22 / m2, a22 is the 3D molecule-molecule scattering length, and l2,z = / m2 ωz is the length of the harmonic-oscillator ground state for the molecules in the eliminated z direction, is evaluated assuming ωz /2π=500 Hz and a22 =1.4 nm.
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