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UID:0-964@lptms.universite-paris-saclay.fr
DTSTART;TZID=Europe/Paris:20240930T140000
DTEND;TZID=Europe/Paris:20240930T180000
DTSTAMP:20240731T142049Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/soutenance-de-the
 se-jules-givois/
SUMMARY:Soutenance de thèse Jules Givois - Petit amphi\, bâtiment Pascal 
 n° 530 - 30 Sep 24 14:00
DESCRIPTION:Binding of fermionic mixtures in low dimensions\n&nbsp\;\n\nIn 
 this thesis\, we study the problem of binding in ultra-cold fermionic mixt
 ures composed of N_h identical heavy fermions interacting with N_l light f
 ermions through a zero-range attractive potential in low-dimensional geome
 tries. The binding  phenomenon depends on the space dimension and on the 
 heavy-light mass ratio and results from a subtle competition between the r
 epulsive Pauli pressure of identical fermions and the heavy-light attracti
 on. In one dimension\, by using an exact few-body analysis\, we establish 
 and characterize states of a single light atom bound with up to five heavy
  atoms. Then\, using a mean-field approach valid for large N_h\, we find t
 hat such N_h+1 clusters are bound for any N_h as long as the mass ratio ex
 ceeds a threshold which scales as N_h^3. Extending this mean-field method 
 to N_l&gt\;1\, we show that N+1-type clusters can attract each other and f
 orm self-bound chains resembling charge-density waves in the thermodynamic
  limit. We also extend this mean-field theory to the two-dimensional N_h+N
 _l problem and find that N_h+1 clusters can form for arbitrarily large N_h
  in two dimensions as well. However\, the mass-ratio threshold for binding
  scales as N_h^2. In order to find the energy and size of the clusters we 
 take into account beyond-mean-field effects as the two-dimensional mean-fi
 eld theory is scale invariant. Finally\, we present numerical evidence tha
 t two two-dimensional N+1-type clusters always repel each other and form n
 o self-bound state\, contrary to the one-dimensional case.\n\nJury : I. Bo
 uchoule\, H.-W. Hammer (rapporteur)\, P. Massignan (rapporteur)\, C. Mora\
 , D. Petrov (directeur de thèse)
CATEGORIES:seminars
LOCATION:Petit amphi\, bâtiment Pascal n° 530\, rue André Rivière\, Ors
 ay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Rivière\, Orsay
 \, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Petit amphi\, bâtiment Pasca
 l n° 530:geo:0,0
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