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math.DS2025
Almost Countable Spectrum and Logarithmic Sarnak Conjecture
Wen Huang, Maoru Tan, Leiye Xu
In this paper, we introduce topological dynamical systems with almost countable spectrum. We prove that the Logarithmic Sarnak Conjecture holds for zero-entropy topological dynamic…
cond-mat.stat-mech2025★ 1 cited
Spatially Structured Entanglement from Nonequilibrium Thermal Pure States
Chen Bai, Mao Tian Tan, Bastien Lapierre +1
We study quantum quench dynamics in (1+1)-dimensional critical systems, starting from thermal pure states called crosscap states, and evolving them under spatially inhomogeneous Ha…