Description
V-based kagome superconductor CsV$_3$Sb$_5$ hosts an intricate interplay between charge density waves (CDWs) and superconductivity (SC). Substitution of Ta for V can suppress the CDW and enhance superconductivity. Here, we perform a high-pressure study up to 48 GPa on a Ta-doped Cs(V$_{0.86}$Ta$_{0.14}$)$_3$Sb$_5$ sample. Under moderate pressure, the "M-shaped" double superconducting dome observed in the parent CsV$_3$Sb$_5$ is replaced by a non-monotonic evolution. Under high pressure, two superconducting domes are observed, as previously observed in CsV$_3$Sb$_5$. With increasing pressure, the $T_\mathrm{c}$ is enhanced from 5.29 K at ambient pressure to a maximum of 5.7 K at 0.61 GPa in the first dome. In the second superconducting dome, the $T_\mathrm{c}$ continuously increases with pressure until 4.46 K at 47.74 GPa. Our work demonstrates the similarity between Ta-doped kagome metal Cs(V$_{0.86}$Ta$_{0.14}$)$_3$Sb$_5$ and CsV$_3$Sb$_5$, revealing the evolution of superconductivity under high pressure without long-range CDW in V-based kagome superconductors.