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DTSTAMP:20260424T040554Z
UID:62ff2ece2e809526245563@ist.ac.at
DTSTART:20230221T110000
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DESCRIPTION:Speaker: Eulàlia Nicolau Jiménez\nhosted by Maksym Serbyn\nAb
 stract: Interacting particles in lattices with single-particle flat bands\
 , which are composed of compact localized states (CLSs)\, can break ergodi
 city either strongly or weakly. In this talk\, I will discuss two mechanis
 ms\, local Hilbert space fragmentation and highly-excited non-thermal eige
 nstates. First\, I will discuss Bose-Hubbard models in a family of diamond
  necklace lattices where CLSs occupy the up and down sites of each diamond
 . By performing an appropriate basis rotation\, the fragmentation of the m
 any-boson Hilbert space becomes apparent in the adjacency graph of the Ham
 iltonian. The models present a conserved quantity related to the occupatio
 n of the CLSs that uniquely identifies the different sub-sectors of the Hi
 lbert space. Due to the fragmentation of the Hilbert space\, the distribut
 ion of entanglement entropies of the system presents a nested-dome structu
 re. We will find weak thermalization through sub-sector-restricted entangl
 ement evolution and a wide range of entanglement entropy scalings from are
 a-law to logarithmic growth. We will characterize the system in depth\, de
 monstrating that the fragmentation is quantum\, local\, and strong. Next\,
  I will discuss the generalization of this mechanism to other models with 
 single-particle flat bands. In particular\, we will discuss the conditions
  that the flat-band lattices must fulfill in order to host local Hilbert s
 pace fragmentation. Finally\, for lattices that do not satisfy these condi
 tions\, I will explore the generation of an arbitrary number of non-therma
 l eigenstates 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:Eulàlia Nicolau Jiménez: Ergodicity breaking in flat-band lattice
 s
URL:https://talks-calendar.ista.ac.at/events/4002
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