Quantum Phase Transitions and Matrix Product States in Spin Ladders

Details Quantum Phase Transitions and Matrix Product States in Spin Ladders Quantum Phase Transitions and Matrix Product States in Spin Ladders

2006-12-25

arxiv.org/abs/quant-ph/0612207v2

Phys. Rev. B 75, 224427 (2007)

Physics

Quantum Physics

20 pages, 6 figures, essential changes (i.e derivation of the Hamiltonian), Revtex

Scientific paper

10.1103/PhysRevB.75.224427

We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable matrix product states for these ladders. We take into account both discrete and continuous symmetries and provide general classes of such models. We also study the behavior of entanglement of different neighboring sites near the transition point and show that quantum phase transitions in these systems are accompanied by divergences in derivatives of entanglement.

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