Spectral Decimation of Quantum Many-Body Hamiltonians (opens in new tab)

arXiv:2602.20256v1 Announce Type: cross Abstract: We develop a systematic theory of spectral decimation for quantum many-body Hamiltonians and show that it provides a quantitative probe of emergent symmetries in statistically mixed spectra. Building on an analytical description of statistical mixtures, we derive an explicit expression for the size of a characteristic symmetry sector (CSS), defined as the largest subsequence of levels exhibiting non-Poissonian correlations. The CSS dimension ...