Achieving　fast　population　transfer　(FPT)　in　multiparticle　systems　based　on　the　cavity　quantum　electronic　dynamics　is　an　outstanding　challenge.　In　this　paper,　motivated　by　the　quantum　Zeno　dynamics,　a　shortcut　for　performing　the　FPT　of　ground　states　in　multiparticle　systems　with　the　invariant-based　inverse　engineering　is　proposed.　Numerical　simulation　demonstrates　that　a　perfect　population　transfer　of　ground　states　in　multiparticle　systems　can　be　rapidly　achieved　in　one　step,　and　the　FPT　is　robust　to　both　the　cavity　decay　and　atomic　spontaneous　emission.　Additionally,　this　scheme　is　not　only　implemented　without　requiring　extra　complex　conditions,　but　also　insensitive　to　variations　of　the　parameters.　©　2014　American　Physical　Society.