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Eigenstate thermalization hypothesis versus Bohigas–Giannoni–Schmit conjecture: a comparison

Year: 2025
Type: article
Abstract: Thermalization of a closed chaotic quantum system is commonly addressed in terms of the ‘eigenstate thermalization hypothesis’ (ETH). An alternative approach uses the Bohigas–Giannoni–Schmit (BGS) conjecture. The comparison shows that the two approaches differ significantly. In contrast to ETH, BGS fully uses the statistical properies of the chaotic Hamiltonian. In both approaches, the criterion for thermalization is similar. BGS goes beyond ETH in predicting quantitatively the time dependence of thermalization.
Language: English
Open Access status: hybrid
Estimated APC paid: $3,325
OpenAlex ID: W4414598108
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Cites: 9
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