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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-356@lptms.universite-paris-saclay.fr
DTSTART:20150630T110000Z
DTEND:20150630T120000Z
DTSTAMP:20150618T145532Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-emmanuel-trizac-et-christophe-texier/
SUMMARY:Séminaire du LPTMS: Emmanuel Trizac et Christophe Texier - LPTMS-b
 atiment 100\, salle des conseils - 30 Juin 15 11:00
DESCRIPTION:Shortcutting adiabaticity : how to change rapidly the state of 
 a trapped gas ?\nEmmanuel Trizac\, LPTMS\nInspired from H-theorem requirem
 ents\, a novel class of exact solutions to the quantum or classical Boltzm
 ann equation is uncovered. These solutions\, valid for arbitrary collision
  laws\, hold for time-dependent confinement. We exploit them\, in a revers
 e-engineering perspective\, to work out a protocol that shortcuts any adia
 batic transformation between two equilibrium states in an arbitrarily shor
 t time span\, for an interacting system. Particle simulations corroborate 
 the analytical predictions.\n\n&nbsp\;\nTopological phase transitions in m
 ultichannel disordered wires in the chiral  symmetry classes\nChristophe 
 Texier\, LPTMS\nWe have considered the one-dimensional multichannel Dirac 
 equation where the mass is a random NxN matrix with elements uncorrelated 
 in space. In order to analyze the spectral properties of the model\, we ha
 ve introduced a matricial random process (Riccati matrix)\, related to the
  scattering matrix describing the reflection on the semi-infinite medium.\
 nWe have found that the stationary distribution of the Riccati matrix corr
 esponds to a generalisation of the Laguerre ensemble of random matrices. T
 he knowledge of this distribution has allowed us to derive explicit determ
 inantal representations for the density of states (DoS)\, which is shown t
 o present a power law behaviour at low energy.\nVarying the mass over diso
 rder ratio allows to drive N phase transitions where the DoS exponent vani
 shes and which are shown to be of topological nature as they correspond to
  the change of a topological quantum number (Witten index).\nReference :Au
 rélien Grabsch and Christophe Texier\, Topological phase transitions and 
 superuniversality in the 1D multichannel Dirac equation with random mass\,
  preprint cond-mat arXiv:1506.05322
CATEGORIES:seminars
LOCATION:LPTMS-batiment 100\, salle des conseils\, 15 Rue Georges Clemencea
 u\, Orsay\, France
GEO:48.698200;2.181770
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS-batiment 100\, salle des 
 conseils:geo:48.698200,2.181770
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