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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-417@lptms.universite-paris-saclay.fr
DTSTART:20160503T110000Z
DTEND:20160503T120000Z
DTSTAMP:20160224T101009Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-cecile-monthus/
SUMMARY:Séminaire du LPTMS: Cécile Monthus - LPTMS\, salle 201\, 2ème é
 tage\, Bât 100\, Campus d'Orsay - 3 Mai 16 11:00
DESCRIPTION:Many Body Localization Transition : level statistics and entang
 lement entropy\nCécile Monthus (IPhT\, CEA\, Saclay)\nAt the Many-Body-Lo
 calization (MBL) Transition\,  the statistics of energy levels and the en
 tanglement entropy of eigenstates change: the Many-Body-Localized phase is
  characterized by the Poisson level statistics and an area-law for the ent
 anglement\, while the Delocalized phase is characterized by the Wigner-Dys
 on level statistics and a volume-law for the entanglement.\nIn the first p
 art of the talk\, the Dyson Brownian Motion approach for quantum spin Hami
 ltonians with random fields will be described: the statistics of energy le
 vels can be studied via Langevin and Fokker-Planck equations\, and one obt
 ains the level repulsion exponent $\\beta$ in terms of the Edwards-Anders
 on matrix elements.\nIn the second part of the talk\, we will consider the
  strong disorder limit of the MBL transition\, where the critical level st
 atistics is close to the Poisson statistics\, in order to determine the st
 atistical properties of the rare extensive resonances that are needed to e
 scape from the area-law entanglement of the Localized phase.\nAt criticali
 ty\, the entanglement entropy can grow with an exponent $0&lt\; \\alpha &l
 t\; 1$ anywhere between the area law $\\alpha=0$ and the volume law $\\alp
 ha=1$\, as a function of the resonances properties. In addition\, the corr
 elation length exponent takes the simple value $\nu=1$.\nIndependently of 
 this strong disorder limit\, we will explain why for the Many-Body-Localiz
 ation transition concerning individual eigenstates\, the correlation lengt
 h exponent $\nu$ is not constrained by the usual Harris inequality $\nu\\g
 eq 2/d$.\n\n&nbsp\;
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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