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A quantum analog of friction (understood as a completely positive, Markovian,translation-invariant and phenomenological model of dissipation) is known to bein odds with the detailed balance in the thermodynamic limit. We show that thisis not the case for quantum systems with internal (e.g. spin) statesnon-adiabatically coupled to translational dynamics. For such systems, aquantum master equation is derived which phenomenologically accounts for thefrictional effect of a uniform zero temperature environment. A simpleanalytical example is provided. Conjectures regarding the finite temperaturecase are also formulated. The results are important for efficient simulationsof complex molecular dynamics and quantum reservoir engineering applications.

Friction as a consistent quantum-mechanical concept