DFG Research Unit FOR 5522
 
    
    
      Research highlight: 
      Emergence of constrained dynamics from a Fock-space perspective: Novel
      insights
    
    
      Recently, three teams from our research unit arrived at novel insights on
      the emergence of constrained dynamics from a Fock-space perspective. In
      two efforts, a mechanism for the formation of dynamically isolated groups
      of Fock-space nodes was discovered by utilizing known concepts from the
      theory of localized single-particle excitations in frustrated lattices.
      This has led to the notion of Fock-space cages [1,2]. For the formation of
      Fock-space cages, the relevant aspect is the connectivity of nodes in
      Fock-space. In a third direction [3], the competition of off-diagonal
      terms and digonal terms in the chosen Fock space basis was also accounted
      for. To that end, centrality measures from graph theory were generalized
      to Hamiltonians. For the paradigmatic quantum East model, a clear
      connection between non-ergodic dynamics and these generalized graph
      measures could be established. 
    
      [1] Jonay, Pollmann,
      
        arXiv: 2504.20987
      
      
      [2] Ben Ami, Heyl, Moessner,
      arXiv:2504.13086
      
      
      [3] Menzler, Bañuls, Heidrich-Meisner,
      
        arXiv:2504.03458
      
    
 
         
         
         
        