  We study the nonequilibrium steady state (NESS) of an ordered harmonic chain
of $N$ oscillators connected to two walls which undergo diffusive motion with
stochastic resetting. The intermittent resettings of the walls effectively
emulate two nonequilibrium reservoirs that exert temporally correlated forces
on the boundary oscillators. These reservoirs are characterized by the
diffusion constant and resetting rates of the walls. We find that, for any
finite $N$, the velocity distribution remains non-Gaussian, as evidenced by a
non-zero bulk kurtosis that decays $\sim N^{-1}$. We calculate the
spatio-temporal correlation of the velocity of the oscillators $\langle v_l(t)
v_{l'}(t') \rangle$ both analytically as well as using numerical simulation.
The signature of the boundary resetting is present at the bulk in terms of the
two-time velocity correlation of a single oscillator and the equal-time spatial
velocity correlation. For the resetting driven chain, the two-time velocity
correlation decay as $t^{-\frac{1}{2}}$ at the large time, and there exists a
non-zero equal-time spatial velocity correlation $\langle v_l(t) v_{l'}(t')
\rangle$ when $l \neq l'$. A non-zero average energy current will flow through
the system when the boundary walls reset to their initial position at different
rates. This average energy current can be computed exactly in the thermodynamic
limit. Numerically we show that the distribution of the instantaneous energy
current at the boundary is independent of the system size. However, the
distribution of the instantaneous energy current in the bulk approaches a
stationary distribution in the thermodynamic limit.
