Decoherence of a Quantum Nonlinear Oscillator Under a Non-zero Temperature Thermal Bath

The characteristic time τ_D for decoherence process of a quantum nonlinear oscillator system under a non-zero temperaturethermal bath is studied by expanding thelinear entropy. By numerical analysis, it is shown that at a non-zero temperature, the quantum coherence decays much faster than at zero temperature. Moreover, the non-zero temperature thermal bath will bring a crucial suppression to the quantum effects of the observables, which causes these quantum effects to become unable to persist upto the Ehrenfest time but is insufficient to destroy thequantum-classical transition.