Work

Similarities and differences of typicality in quantum and classical systems

Year: 2025
Type: article
Abstract: Typicality is a well-established and very general property of quantum many-body systems, referring to the phenomenon that the expectation values of any given observable are practically indistinguishable for the overwhelming majority of all pure states (normalized vectors) in a sufficiently high-dimensional Hilbert (sub-)space. Here, we provide very simple and general arguments that analogous typicality properties of pure states (phase space points) in classical many-body systems are still expected to hold true for macroscopic observables, but not any more for microscopic (few-body) observables.
Language: English
Open Access status: green
OpenAlex ID: W4415317242
FWCI: 0.292
Cites: 10
Cited by: 1
Related to: 10