Product vacua with boundary states

Details Product vacua with boundary states Product vacua with boundary states

2011-12-17

arxiv.org/abs/1112.4097v2

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

We introduce a family of quantum spin chains with nearest neighbor interactions that can serve to clarify and refine the classification of gapped quantum phases of such systems. The gapped ground states of these models can be described as a product vacuum with a finite number of particles bound to the edges. The numbers of particles, n_L and n_R, that can bind to the left and right edges of the finite chains serve as indices of the particular phase a model belongs to. All these ground states, which we call Product Vacua with Boundary States (PVBS) can be described as Matrix Product States (MPS). We present a curve of Hamiltonians connecting the AKLT model to its representative PVBS model, which has indices n_L=n_R=1.

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