Abstract
The quantum-thermal crossover in the decay rate of metastable states of the quantum sine-Gordon model in dc field is discussed at low temperatures including dissipation in arbitrary dimension. In the low field limit, the thermal effect is always dominant, whereas in the higher field the quantum effect becomes important. The crossover field becomes larger by the dissipative effect. The crossover is sharp except the one dimensional underdamped case at low temperatures.
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Hida, K. Quantum-thermal crossover in the dissipative dynamics of the Sine-Gordon model. Z. Physik B - Condensed Matter 61, 223–229 (1985). https://doi.org/10.1007/BF01307781
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DOI: https://doi.org/10.1007/BF01307781