We study the quantum and classical evolution of a system of three harmonic modes interacting via a trilinear Hamiltonian. With the modes prepared in thermal states of different temperatures, this model describes the working principle of an absorption refrigerator that transfers energy from a cold to a hot environment at the expense of free energy provided by a high-temperature work reservoir. Inspired by a recent experimental realization with trapped ions, we elucidate key features of the coupling Hamiltonian that are relevant for the refrigerator performance. The coherent system dynamics exhibits rapid effective equilibration of the mode energies and correlations, as well as a transient enhancement of the cooling performance at short times. We find that these features can be fully reproduced in a classical framework.
 R. Kosloff and A. Levy, Annu. Rev. Phys. Chem. 65, 365 (2014).
 M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1965).
 Viktor Holubec, Tomáš Novotný, "Effects of Noise-Induced Coherence on the Performance of Quantum Absorption Refrigerators", Journal of Low Temperature Physics 192, 147 (2018).
 Stella Seah, Stefan Nimmrichter, Valerio Scarani, "Refrigeration beyond weak internal coupling", Physical Review E 98, 012131 (2018).
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