The eigenstate thermalization hypothesis argues that closed quantum systems lose memory of initial states during relaxation, producing thermal expectations for local observables. However, mechanisms like integrability and many-body localization challenge this by preventing thermalization.
Hilbert space fragmentation (HSF) suggests a complex structure in quantum systems, dividing the Hilbert space into subspaces based on conservation laws and leading to the existence of Krylov subsectors that evade thermalization.
The emergence of constrained dynamics in quantum systems can lead to the formation of fractons, which exhibit restricted mobility, challenging traditional notions of particle dynamics in quantum mechanics.
Krylov subsectors represent unique segments in Hilbert space where specific quantum states are dynamically connected. These can show behaviors resistant to thermalization because of limited kinetic constraints.
#quantum-mechanics #thermalization #eigenstate-thermalization-hypothesis #hilbert-space-fragmentation #fractons
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