Lieb-Liniger Bose Gas
Exact Bethe Ansatz solution for 1D bosons with contact interactions
Controls
Coupling γ = c/n
1.00
Particle count N
7
System length L
15
Ground state energy:
E/N =
—
ℏ²/2mL²
Sound velocity:
v_s =
—
ℏ/mL
Regime:
—
γ≪1: TG gas (fermionized)
γ≫1: mean-field BEC
Quasi-momenta Distribution
Momentum Distribution n(k) — Bethe Ansatz Ground State