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Metastable states with surprising properties abound in Hilbert space. Westudy unfrustrated isotropic spin-\half Heisenberg models in honeycomb latticeand find emergence of \textit{metastable Kitaev spin liquids having a 2-spinnematic long range order}, via spontaneous symmetry breaking. Decomposition ofisotropic Heisenberg Hamiltonian $H^H$ into an exact sum of 3 noncommuting(permuted) Kitaev Hamiltonians, $H^H$ = $H^{K}_{\rm xyz}+H^{K}_{\rmyzx}+H^{K}_{\rm zxy},$ helps us build a degenerate \textit{manifold of fluxfree metastable Kitaev spin liquid vacua} and vector Fermionic (Goldstone like)collective modes. We introduce a method, \textit{symmetric decomposition ofHamiltonians}, which might help craft \textit{designer metalstable phases}. Itis likely that small Kitaev interactions present in Jackeli-Khaliullin-Kitaevmaterials, with dominant Heisenberg couplings, bring in metastable Kitaev spinliquid features in real experiments. Present work opens possibilities ofperforming quantum computation and other tasks, using exotic quasiparticles andexotic metastable states, present in nonexotic real systems.

Metastable Kitaev Spin Liquids in Isotropic Quantum Heisenberg Magnets