The invention relates to a vaporisation device (4) for the cooling of a liquefied gas, said vaporisation device (1) comprising: a vaporisation chamber (14) disposed inside the inner space of a container (2, 19) that is intended to be filled with liquefied gas (3), the vaporisation chamber (14) comprising heat exchange walls (6) allowing the exchange of heat between an inner space inside the vaporisation chamber (14) and a liquefied gas (3) present in the inner space of the container (2, 19); an inlet circuit (5) comprising an intake that opens into the inner space of the container (2, 19) in order to remove a flow of liquefied gas in liquid phase from the container (2, 19) and a head loss member (13) that opens into the inner space of the vaporisation chamber (14) in order to expand the removed gas flow; and an outlet circuit (7) arranged to discharge the removed gas flow in gaseous phase from the vaporisation chamber (14) into a vapour-phase gas usage circuit (8), said outlet circuit (7) comprising a vacuum pump (9) that draws the gas flow into the vaporisation chamber (14), drives same towards the vapour-phase gas usage circuit (8) and maintains an absolute pressure below atmospheric pressure inside the vaporisation chamber (14).