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DTSTART:20230326T030000
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DTSTAMP:20260615T143908Z
UID:62ff2ece2e809526245563@ist.ac.at
DTSTART:20230221T110000
DTEND:20230221T120000
DESCRIPTION:Speaker: Eloi Nicolau Jiménez\nhosted by Maksym Serbyn\nAbstra
 ct: Interacting particles in lattices with single-particle flat bands\, wh
 ich are composed of compact localized states (CLSs)\, can break ergodicity
  either strongly or weakly. In this talk\, I will discuss two mechanisms\,
  local Hilbert space fragmentation and highly-excited non-thermal eigensta
 tes. First\, I will discuss Bose-Hubbard models in a family of diamond nec
 klace lattices where CLSs occupy the up and down sites of each diamond. By
  performing an appropriate basis rotation\, the fragmentation of the many-
 boson Hilbert space becomes apparent in the adjacency graph of the Hamilto
 nian. The models present a conserved quantity related to the occupation of
  the CLSs that uniquely identifies the different sub-sectors of the Hilber
 t space. Due to the fragmentation of the Hilbert space\, the distribution 
 of entanglement entropies of the system presents a nested-dome structure. 
 We will find weak thermalization through sub-sector-restricted entanglemen
 t evolution and a wide range of entanglement entropy scalings from area-la
 w to logarithmic growth. We will characterize the system in depth\, demons
 trating that the fragmentation is quantum\, local\, and strong. Next\, I w
 ill discuss the generalization of this mechanism to other models with sing
 le-particle flat bands. In particular\, we will discuss the conditions tha
 t the flat-band lattices must fulfill in order to host local Hilbert space
  fragmentation. Finally\, for lattices that do not satisfy these condition
 s\, I will explore the generation of an arbitrary number of non-thermal ei
 genstates through the 2^n-root versions of each model.
LOCATION:Big Seminar Room B (big) 63 seats (I23.EG.102)\, ISTA
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Eloi Nicolau Jiménez: Ergodicity breaking in flat-band lattices
URL:https://talks-calendar.ista.ac.at/events/4002
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