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One important challenge in our field is to understand the initial conditionof the QGP and constrain it using sensitive experimental observables. Recentstudies show that the Pearson Correlation Coefficient between ${\bm V}_n$ andevent-wise mean transverse momentum $[p_{\mathrm{T}}]$, $\rho_{n}({\bmV}_n,[p_{\mathrm{T}}])$ can probe number and size of sources, nucleardeformation, volume fluctuation, and initial momentum anisotropy in initialstate of heavy-ion collisions. This proceeding presents new, precisionmeasurements of ${\bm V}_n-[p_{\mathrm{T}}]$ correlation in$^{\mathrm{129}}\mathrm{Xe}+^{\mathrm{129}}\mathrm{Xe}$ and$^{\mathrm{208}}\mathrm{Pb}+^{\mathrm{208}}\mathrm{Pb}$ collisions forharmonics $n=2$, 3, and 4 using the ATLAS detector at the LHC. The values of$\rho_{n}$ shows rich and non-monotonic dependence on centrality, $p_{T}$ and$\eta$, reflecting that different ingredients of the initial state impactdifferent regions of the phase space. The ratio of $\rho_{2}$ between the twosystems in the ultra-central region suggests that ${^\mathrm{129}}\mathrm{Xe}$has large quadrupole deformation and with a significant triaxiality. Allcurrent models fail to describe many of the observed trends in the data.

Flow and transverse momentum correlation in Pb+Pb and Xe+Xe collisions with ATLAS: assessing the initial condition of the QGP