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A variation principle for ground spaces. (arXiv:1704.07675v1 [math-ph])

来源于:arXiv
We prove that the ground space projections of a subspace of energy operators in a matrix *-algebra are the greatest projections of the algebra under certain operator cone constraints. The lattice of ground space projections being coatomistic, we also discuss its maximal elements as building blocks. We demonstrate the results with (commutative) two-local three-bit Hamiltonians. We expect the variation principle to be useful also for non-commutative Hamiltonians. 查看全文>>