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BEGIN:VEVENT
UID:0-668@lptms.universite-paris-saclay.fr
DTSTART:20190318T110000Z
DTEND:20190318T120000Z
DTSTAMP:20190312T114948Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-excepti
 onnel-manas-kulkarni/
SUMMARY:Séminaire exceptionnel du LPTMS: Manas Kulkarni - LPTMS\, salle 20
 1\, 2ème étage\, Bât 100\, Campus d'Orsay - 18 Mar 19 11:00
DESCRIPTION:Duality in a model integrable even in a box-like confinement: M
 ulti-soliton solutions and field theory\nManas Kulkarni (International Cen
 tre for Theoretical Sciences\, Bengaluru)\n\nModels that remain integrable
  even in confining potentials are extremely rare and almost non-existent. 
 Here\, we consider the Hyperbolic Calogero (HC) model which remains integr
 able even in confining potentials (which has box-like shapes). We present 
 a first-order formulation of the HC model in external confining potential.
  Using the rich property of duality\, we find multi-soliton solutions of t
 his confined integrable model. We demonstrate the dynamics of these multi-
 soliton solutions via brute-force numerical simulations. We study the phys
 ics of soliton collisions and quenching using numerical simulations. We ha
 ve examined the motion of dual variables and found an analytic expression 
 for the time period in a certain limit. We give the field description of t
 his model and find analytical solutions for background (absence of soliton
 s) in the large-N limit (which has the form of a table-top). Analytical ex
 pressions of soliton solutions have been obtained in the absence of confin
 ing potential. Our work is of importance to understand general features of
  trapped interacting particles that remain integrable and can be of releva
 nce to the collective behaviour of trapped cold atomic gases.
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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