Weakly interacting Bose gas

In condensed matter physics, a weakly interacting Bose gas is a quantum mechanical system composed of bosons that interact through low-strength, typically repulsive short-range forces. Unlike the ideal Bose gas, which neglects all interactions, the weakly interacting Bose gas provides a more realistic model for understanding Bose–Einstein condensation and superfluidity. Its behavior is well-described by mean-field theories such as the Gross–Pitaevskii equation and Bogoliubov theory, which capture the effects of interactions on the condensate and its excitations. This model is foundational in the study of ultracold atomic gases, where experimental techniques allow precise control of both the particle density and interaction strength, enabling detailed exploration of quantum statistical phenomena in dilute bosonic systems.

The microscopic model was first discussed by Nikolai Bogoliubov in 1947.

In one-dimension, the weakly interacting Bose gas is described by the Lieb–Liniger model.

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