Spontaneous symmetry breaking (SSB) is mathematically tied to some limit, but must physically occur, approximately, before the limit. Approximate SSB has been independently understood for Schroedinger operators with double well potential in the classical limit (Jona-Lasinio et al, 1981; Simon, 1985) and for quantum spin systems in the thermodynamic limit (Anderson, 1952; Tasaki, 2019). We relate these to each other in the context of the Curie-Weiss model, establishing a remarkable relationship between this model (for finite N) and a discretized Schroedinger operator with double well potential.
Cited by 3
Yannouleas et al., Fractional quantum Hall physics and higher-order momentum correlations in a few spinful fermionic contact-interacting ultracold atoms in rotating traps
Phys. Rev. A 102, 043317 (2020) [Crossref]
Bulekov, Semiclassical Approximation for the Curie â€“ Weiss Model
J. Phys.: Conf. Ser. 1740, 012069 (2021) [Crossref]
van de Ven, The classical limit of mean-field quantum spin systems
Journal of Mathematical Physics 61, 121901 (2020) [Crossref]
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- 1 Christiaan J. F. van de Ven,
- 2 Gerrit C. Groenenboom,
- 3 Robin Reuvers,
- 2 Klaas Landsman