Weak Order and Disorder of Quantum States Invariant Under Onsite Action by an Arbitrary Finite Group on a Spin Chain

Maxim Zelenko
In his paper “Constraints on order and disorder parameters in quantum spin chains,” Michael Levin derived general constraints on order and disorder parameters in Ising symmetric quantum spin chains. Levin’s main result in his paper was a theorem showing that in a circular spin chain, any local Hamiltonian that has a non-degenerate ground state and is translationally invariant and Ising symmetric must at least have either a nonzero order parameter or a nonzero disorder parameter....
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