Matrix Product States and Quantum Phase Transitions

Details Matrix Product States and Quantum Phase Transitions Matrix Product States and Quantum Phase Transitions

2009-09-16

arxiv.org/abs/0909.2928v1

Physics

Quantum Physics

4 pages, 2 figures, comments are welcome

Scientific paper

We have developed a new approach based on matrix product representations of ground states to study Quantum Phase Transitions (QPT). As confirmation of the power of our approach we have analytically analyzed the XXZ spin-one chain with uniaxial single-ion-type anisotropy and our results compare favourably with previous numerical studies. In addition, our description lets to know which part of parameters space of the Hamiltonian is most likely to be exactly solvable.

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