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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Absence of normal transport in an interacting diso
 rdered spin chain - Francois Huveneers (King's Col
 lege London)
DTSTART;TZID=Europe/London:20240708T140000
DTEND;TZID=Europe/London:20240708T150000
UID:TALK215560AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/215560
DESCRIPTION:Many-body localization (MBL) is an out-of-equilibr
 ium phase of matter featuring emergent integrabili
 ty: There exists a complete set of local integrals
  of motion. As a result\, an MBL system remembers 
 its initial state for arbitrarily long times if th
 e system is thermally isolated. This implies\, in 
 particular\, a total absence of transport. These p
 henomena are a striking manifestation of the quant
 um\, strongly self-interacting\, evolution of the 
 probability measure. Demonstrating this at the mat
 hematical level of rigor has proven very challengi
 ng and remains unresolved. In this talk\, I will p
 resent a theorem stating that the diffusion consta
 nt of such systems vanishes\, indicating that tran
 sport is at most sub-diffusive. An interesting asp
 ect of the proof is that it relies on establishing
  MBL in some portions of the chains that are immun
 e from resonances. Additionally\, it rules out som
 e numerical results that suggested MBL would not e
 xist at all. Our work represents thus a step forwa
 rd in rigorously establishing the existence of the
  MBL phase in one-dimensional systems.\nFrom a wor
 k with W. De Roeck\, L. Giacomin and O. Prosniak.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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