3 papers
math-ph2025
A new upper bound on the specific free energy of dilute Bose gases
Giulia Basti, Chiara Boccato, Serena Cenatiempo +1
We prove an upper bound for the free energy (per unit volume) of the dilute Bose gas in the thermodynamic limit, showing that the free energy at density and inverse temperatur…
math-ph2025
The Gibbs state of the mean-field Bose gas
Andreas Deuchert, Phan Thà nh Nam, Marcin Napiórkowski
We consider the homogeneous mean-field Bose gas at temperatures proportional to the critical temperature of its Bose-Einstein condensation phase transition. We prove a trace norm a…
math-ph2025
A note on spontaneous symmetry breaking in the mean-field Bose gas
Andreas Deuchert, Phan Thanh Nam, Marcin Napiorkowski
We consider the homogeneous Bose gas in the three-dimensional unit torus, where particles interact via a two-body potential of the form . The system is studied at…