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Physical Review Research

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Thermalization is typical in large classical and quantum harmonic systems

Marco Cattaneo ^1,*, Marco Baldovin ², Dario Lucente ³, Paolo Muratore-Ginanneschi ⁴, and Angelo Vulpiani⁵

¹QTF Centre of Excellence, Department of Physics, University of Helsinki, P. O. Box 43, FI-00014 Helsinki, Finland
²Institute for Complex Systems, CNR, 00185 Rome, Italy
³Department of Mathematics and Physics, University of Campania “Luigi Vanvitelli,” 81100 Caserta, Italy
⁴Department of Mathematics and Statistics, University of Helsinki, P. O. Box 68, FI-00014 Helsinki, Finland
⁵Dipartimento di Fisica, Università di Roma “La Sapienza,” P.le Aldo Moro 5, 00185 Rome, Italy

^*Contact author: marco.cattaneo@helsinki.fi

Necessity of entanglement for the typicality argument in statistical mechanics

Pedro S. Correia, Gabriel Dias Carvalho, and Thiago R. de Oliveira

Phys. Rev. A 113 L060202 (2026)

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