Entanglement of quantum oscillators coupled to different heat baths

Abstract

Abstract We study the non-equilibrium dynamics of two coupled oscillators interacting with their own heat baths of quantum scalar fields at different temperature T 1 and T 2 with bilinear couplings between them. We particularly focus on the entanglement or inseparability property of their quantum states. The critical temperatures of two respective oscillators, T 1c and T 2c, higher than which the entanglement disappears, can be determined. It is found that when two damping parameters are largely different, say γ 1 ≪ γ 2, the critical temperature T 1c with respect to the frequency Ω+, the higher frequency among two normal modes frequencies, can be very large, T 1c ≫ Ω+, while T 2c ∝ Ω+ with the possibility of hot entanglement. The entanglement of two oscillators with the temperature-dependent damping parameters γ 1;2,T from heat baths is also discussed.