Critical Temperature Shift in Weakly Interacting Bose Gas

Prokof'ev, Nikolay; Svistunov, Boris; Kashurnikov, V. A.

Critical Temperature Shift in Weakly Interacting Bose Gas

Authors

Prokof'ev, Nikolay

Svistunov, Boris

Kashurnikov, V. A.

Description

With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional $|ψ|^4$-theory (which includes quantum Bose gas). In terms of critical density, $n_c$, mass, $m$, interaction, $U$, and temperature, $T$, this shift is universal: $Δn_c(T) = - C m^3 T^2 U$, the constant $C$ found to be equal to $0.0140 \pm 0.0005$. For quantum Bose gas with the scattering length $a$ this implies $ΔT_c/T_c = C_0 a n^{1/3}$, with $C_0=1.29 \pm 0.05$.
4 pages, latex, 3 figures