Year: 2025
Type: article
Abstract: We consider the homogeneous Bose gas in the three-dimensional unit torus, where N particles interact via a two-body potential of the form $$N^{-1} v(x)$$ N - 1 v ( x ) . The system is studied at inverse temperatures of order $$N^{-2/3}$$ N - 2 / 3 , which corresponds to the temperature scale of the Bose–Einstein condensation phase transition. We show that spontaneous U (1) symmetry breaking occurs if and only if the system exhibits Bose–Einstein condensation in the sense that the one-particle density matrix of the Gibbs state has a macroscopic eigenvalue.
Source: Letters in Mathematical Physics
Language: Latvian
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4415176997