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Open quantum systems are subject to interaction with their surroundingenvironments. The environments are in general complex and intractable. At lowtemperatures, quantum environments are mapped onto two simpler universalityclasses of models, namely oscillator bath and spin bath models. The two modelsare commonly recognized as completely distinct at strong coupling limits. Inparticular, it is believed, that they cause two different dissipativerelaxation rates when they act on qubits. It is also believed that at such alimit the relaxation rate caused by the spin bath model cannot be simulated bythe oscillator bath model. In this paper, I show, in contrast, that theoscillator bath model can simulate the effect of the spin bath model in thestrong coupling limit of the spin bath. I demonstrate that, by choosing theright parameters for the oscillator bath model such that it induces the samerate and amount of bias energy fluctuations as those of the spin bath, theoscillator bath model can produce a relaxation rate equivalent to that of thespin bath model. This result implies that, as far as the relaxation rate isconcerned, the distinction between the oscillator bath model and the spin bathmodel is far less than has been previously recognized.

Caldeira-Leggett oscillator bath simulation of the Prokof'ev-Stamp spin bath in strong coupling limits