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This research establishes analytically constructed many-body scar towers in two-dimensional gauge theories using exact diagonalization, revealing unique states with low entanglement and long-range correlations. The study highlights the delicate nature of these configurations, which vanish immediately upon introducing minimal fermion mass, offering a rigorous algebraic framework distinct from prior simulation-based approaches.

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Basque Country UPV Team Finds Stable Towers Within Gauge Theories

Quantum ZeitgeistSeptember 18, 20264 min read

Establishing analytically constructed quantum scars within interacting systems has remained elusive until now. This work demonstrates such towers exist in two dimensional gauge theories via exact diagonalization, revealing anomalously low entanglement and long-range correlations, a conceptually different approach from prior numerical diagnostics. Introducing even minimal fermion mass immediately destroys this structure, highlighting its delicate balance against perturbation.

Exact many-body scar towers have constructed within two-dimensional gauge theories containing massless fundamental fermions. These scars originate from a gauge-neutral pairing operator, enabling an algebraic construction of invariant subspaces that simplifies complex calculations. João Barata, Kiryl Pakrouski and Andrey V Sadofyev revealed this capability using exact diagonalization methods, showing anomalously low entanglement and long-range pair correlations in these newly defined states. An analytical method identifies stable yet dynamic states within…

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