Title: Oases in Hilbert Space Deserts

Speaker: Prof. G. Baskaran

Abstract: Hilbert spaces are incomprehensibly vast and rich. Model Hamiltonians are spaceships. They could take us to new worlds, such as cold spin liquid oasis, hidden in desert like hot regions of Hilbert space. Using an exact decomposition of spin-half isotropic Heisenberg Hamiltonian on a Honeycomb lattice into a sum of 3 non-commuting (permuted) Kitaev Hamiltonians, we build a degenerate manifold of metastable flux free Kitaev quantum spin liquid vacua and vector Fermionic (Goldstone like) collective modes. Our method [1], symmetric decomposition of Hamiltonians, will help explore nonexotic manybody systems, and design exotic quasi-quantum scars (effective T=0 metastable phases, above true ground state) and exotic quasi particles.

Reference: [1] G. Baskaran, Metastable spin liquids in isotropic Quantum Heisenberg Magnets, arXiv:2309.07119