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BEGIN:VEVENT
DTSTAMP:20260816T055904Z
LAST-MODIFIED:20121116T203436Z
DTSTART:20091005T150000Z
DTEND:20091005T160000Z
UID:event520@bu.edu
URL:http://physics.bu.edu/internal/events/show/520
SUMMARY:Nonlinear dynamics of spin and charge in spin-Calogero model
DESCRIPTION:Featuring Fabio Franchini\, ICTP\, Triste\, Italy\n\nPart of th
	e Condensed Matter Theory Seminar Series.\n\nAbstract:\nWe study the full\,
	 nonlinear dynamics of spin and charge in the spin-Calogero model\, by cons
	tructing a collective\, i.e. hydrodynamic\, description of the model. The l
	atter is an integrable 1-D model of quantum spin-1/2 particles interacting 
	through inverse-square interaction and exchange. We construct the collectiv
	e Hamiltonian in a semi-classical regime where gradient corrections to the 
	exact hydrodynamic formulation of the theory may be neglected. In this appr
	oximation\, the equations of motion can be decoupled and written as to a se
	t of independent Riemann-Hopf (or inviscid Burgers') equations for the dres
	sed Fermi momenta. We study the dynamics of some non-equilibrium spin-charg
	e configurations for times smaller than the time-scale of the gradient cata
	strophe and we find an interesting interplay between spin and charge degree
	s of freedom. We also consider the limit of large coupling parameter and sh
	ow that the resulting hydrodynamics for the spin sector describes the so-ca
	lled Haldane-Shastry model. Finally\, we show how this hydrodynamic descrip
	tion allows for the calculation of correlation functions that cannot be con
	sidered with conventional bosonization\, such as the Emptiness Formation Pr
	obability. (http://arxiv.org/abs/0904.3762\, http://arxiv.org/abs/0908.2652
	)
LOCATION: \, \, 
STATUS:CONFIRMED
CLASS:PUBLIC
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