摘要: The integrated Sachs-Wolfe (ISW) effect probes the decay rate ($DR$) of large
scale gravitational potential and therefore provides unique constraint on dark
energy (DE). However its constraining power is degraded by the ISW measurement,
which relies on cross-correlating with the large scale structure (LSS) and
suffers from uncertainties in galaxy bias and matter clustering. In combination
with lensing-LSS cross-correlation, $DR$ can be isolated in a way free of
uncertainties in galaxy bias and matter clustering. We applied this proposal to
the combination of the DR8 galaxy catalogue of DESI imaging surveys and Planck
cosmic microwave background (CMB) maps. We achieved the first $DR$ measurement,
with a total significance of $3.2\sigma$. We verified the measurements at three
redshift bins ($[0.2,0.4)$, $[0.4, 0.6)$, $[0.6,0.8]$), with two LSS tracers
(the "low-density points" and the conventional galaxy positions). Despite its
relatively low S/N, the addition of $DR$ significantly improves dark energy
constraints, over SDSS baryon acoustic oscillation (BAO) data alone or Pantheon
supernovae (SN) compilation alone. For flat $w$CDM cosmology, the improvement
in the precision of $\Omega_m$ is a factor of 1.8 over BAO and 1.5 over SN. For
the DE equation of state $w$, the improvement factor is 1.3 over BAO and 1.4
over SN. These improvements demonstrate $DR$ as a useful cosmological probe,
and therefore we advocate its usage in future cosmological analysis.