[1] [1] Nielsen M, Chuang I. Quantum Information and Computation[M]. Cambridge: Cambridge University Press, 2000.

[2] [2] Liao J Q, Huang J F, Kuang L M. Quantum thermalization of two coupled two-level systems in eigenstate and bare-state representations[J]. Physical Review A, 2011, 83(5): 052110.

[3] [3] Huangfu Y, Jing J. Steady bipartite coherence induced by non-equilibrium environment[J]. Science China: Physics, Mechanics & Astronomy, 2018, 61(1): 010311.

[4] [4] Hu L Z, Man Z X, Xia Y J. Steady-state entanglement and thermalization of coupled qubits in two common heat baths[J]. Quantum Information Processing, 2018, 17(3): 1-14.

[5] [5] Wang C, Chen Q H. Exact dynamics of quantum correlations of two qubits coupled to bosonic baths[J]. New Journal of Physics, 2013, 15(10): 103020.

[6] [6] Malouf W T B, Goold J, Adesso G, et al. Analysis of the conditional mutual information in ballistic and diffusive non-equilibrium steady-states[J]. Journal of Physics A-Mathematical and Theoretical, 2020, 53(30): 305302.

[7] [7] Man Z X, Xia Y J. Smallest quantum thermal machine: The effect of strong coupling and distributed thermal tasks[J]. Physical Review E, 2017, 96(1): 012122.

[8] [8] Brask J B, Brunner N. Small quantum absorption refrigerator in the transient regime: Time scales, enhanced cooling, and entanglement[J]. Physical Review E, Statistical, Nonlinear, and Soft Matter Physics, 2015, 92(6): 062101.

[9] [9] Sinaysky I, Petruccione F, Burgarth D. Dynamics of nonequilibrium thermal entanglement[J]. Physical Review A, 2008, 78(6): 062301.

[10] [10] Wang Q, Cao D, Quan H T. Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the XY chain in a transverse field[J]. Physical Review E, 2018, 98(2): 022107.

[11] [11] Wang Z H, Wu W, Wang J. Steady-state entanglement and coherence of two coupled qubits in equilibrium and nonequilibrium environments[J]. Physical Review A, 2019, 99(4): 042320.

[12] [12] Karen V H, Alberto I. Generating current and entanglement in an autonomous thermal machine with broken symmetry[J]. 2018, arXiv: 1806.08779v1[quant-ph].

[13] [13] Zhang C Y, Pan G X, Li H, et al. Stable entanglement of movable mirror and cavity field generated via Λ-type three-level atoms[J]. Chinese Journal of Quantum Electronics, 2020, 37(1): 63-69.

[14] [14] Pumulo N, Sinayskiy I, Petruccione F. Non-equilibrium thermal entanglement for a three spin chain[J]. Physics Letters A, 2011, 375(36): 3157-3166.

[15] [15] Bohr Brask J, Haack G, Brunner N, et al. Autonomous quantum thermal machine for generating steady-state entanglement[J]. New Journal of Physics, 2015, 17(11): 113029.

[16] [16] Eisler V, Zimborás Z. Entanglement in the XX spin chain with an energy current[J]. Physical Review A, 2005, 71(4): 042318.

[17] [17] Quiroga L, Rodríguez F J, Ramírez M E, et al. Nonequilibrium thermal entanglement[J]. Physical Review A, 2007, 75(3): 032308.

[18] [18] Deordi G L, Vidiella-Barranco A. Two coupled qubits interacting with a thermal bath: A comparative study of different models[J]. Optics Communications, 2017, 387: 366-376.

[19] [19] Wang M J, Xia Y J. Steady-state entanglement and heat current of two coupled qubits in two baths without rotating wave approximation[J]. Chinese Physics B, 2019, 28(6): 060303.

[20] [20] Louisell W H, Walker L R. Density-operator theory of harmonic oscillator relaxation[J]. Physical Review, 1965, 137(1B): B204-B211.

[21] [21] Walls D F, Milburn G J. Effect of dissipation on quantum coherence[J]. Physical Review A, 1985, 31(4): 2403-2408.

[22] [22] Yu T, Eberly J H. Evolution from entanglement to decoherence of bipartite mixed “X” states[J]. Quantum Information and Computation, 2007, 7(5-6): 459-468.

[23] [23] Wootters W K. Entanglement of formation of an arbitrary state of two qubits[J]. Physical Review Letters, 1998, 80(10): 2245-2248.