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What is Bounding Spectral Gap in Quantum Spin Chains about?

This document discusses bounding the spectral gap above the ground state of a quantum spin chain. Specifically, it examines a system of three spins with magnitudes j1, j2, and j3 using representations of the Lie algebra su2. It defines an operator C as a commutator and conjectures an upper bound for its norm. Estimating this norm relates to bounding the norm of another operator G[2,3]E2, which if sufficiently small, guarantees a nonzero lower bound for the spectral gap above the ground state. The document i

Author

Amanda Young

Language

EN