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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