The quantum-mechanical and thermodynamic properties of a three-level molecu
lar cooling cycle are derived. An inadequacy of earlier models is rectified
in accounting for the spontaneous emission and absorption associated with
the coupling to the coherent driving field via an environmental reservoir.
This additional coupling need not be dissipative, and can provide a thermal
driving force-the quantum analog of classical absorption chillers. The dep
endence of the maximum attainable cooling rate on temperature, at ultralow
temperatures. is determined and shown to respect the recently established f
undamental bound based on the second and third laws of thermodynamics.