  We examine the two-dimensional $t{-}J$ model by using variational approach
combined with well established quantum Monte Carlo techniques [S. Sorella {\it
et al.}, \prl {\bf 88}, 117002 (2002)] that are used to improve systematically
the accuracy of the variational ansatz. Contrary to recent density-matrix
renormalization group and projected entangled-pair state calculations [P.
Corboz {\it et al.}, \prb {\bf 84}, 041108(R) (2011)], a uniform phase is found
for $J/t=0.4$, even when the calculation is biased with an ansatz that
explicitly contains stripe order. Moreover, in the small hole doping regime,
i.e., $\delta \lesssim 0.1$, our results support the coexistence of
antiferromagnetism and superconductivity.
