Fig. 1. Schematic of a closed spin chain (spin chain is collectively coupled to a finite temperature non-Markovian bosonic bath)

Fig. 2. Environmental memory effects on energy flow and coherence, when Ts=40,Tb=10,Γ=0.05,and J=1.(a) Bz=0.5;(b) Bz=0

Fig. 3. Effect of noise intensity on energy flow and coherence, when Ts=40,Tb=10,γ=0.5, and J=1. (a) Bz=0.5; (b) Bz=0

Fig. 4. Effect of bath temperature on energy flow and coherence, when Ts=40,Γ=0.05,γ=0.5, and J=1.(a) Bz=0.5; (b) Bz=0

Fig. 5. Effect of magnetic field strength on energy flow and coherence, when Ts=40,Tb=10,Γ=0.05,γ=0.5, and J=1. (a) Energy flow; (b) coherence