Hilbert spaces are incomprehensibly vast and rich. Model Hamiltonians are spaceships. They
could take us to new worlds, such as cold spin liquid oasis in desert regions of Hilbert space.
Exact decomposition of isotropic Heisenberg Hamiltonian on a Honeycomb lattice into a sum
of 3 non-commuting (permuted) Kitaev Hamiltonians, helps us build a degenerate manifold of
metastable flux free Kitaev spin liquid vacua and vector Fermionic (Goldstone like)
collective modes. Our method, symmetric decomposition of Hamiltonians, will help design
exotic metastable quasi quantum scars and exotic quasi particles, in non exotic real systems.
ref: G. Baskaran, arXiv:2309.07119
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