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SUMMARY:Sthitadhi Roy (University of Oxford)
DTSTART:20210118T170000Z
DTEND:20210118T180000Z
DTSTAMP:20260423T024655Z
UID:QM3/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/29/">Man
 y-body localisation: a tale of correlations and classical percolation on F
 ock space</a>\nby Sthitadhi Roy (University of Oxford) as part of Quantum 
 Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nMany-body localised (MBL)
  phases of matter fall outside the conventional paradigm of equilibrium st
 atistical mechanics and thermodynamics. A natural question thus is\, what 
 minimal and generic properties must random many-body Hamiltonians possess 
 for a localised phase to be stable? In this talk\, I will address the ques
 tion by exploiting the exact mapping between a many-body Hamiltonian and a
  tight-binding problem on the Fock-space graph. In particular\, I will pre
 sent a theory for how the strong correlations in the effective Fock-space 
 disorder play a central role in stabilising an MBL phase.  The theory is r
 ooted in analytic but approximate calculations of the propagators on the F
 ock space. To shed further light on the underlying physics\, I will also i
 ntroduce and discuss a classical proxy for the MBL transition in the form 
 of a percolation transition on the Fock space. Finally\, I will discuss a 
 novel class of Anderson localisation problems on correlated trees\, to und
 erstand the effect of such disorder correlations in a more controlled sett
 ing.\n
LOCATION:https://researchseminars.org/talk/QM3/29/
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