Entanglement Witnesses in Spin Models

Details Entanglement Witnesses in Spin Models Entanglement Witnesses in Spin Models

2004-06-09

arxiv.org/abs/quant-ph/0406061v4

Physical Review A 71, 010301(R) (2005)

Physics

Quantum Physics

5 pages including 3 figures, revtex4; some typos corrected

Scientific paper

10.1103/PhysRevA.71.010301

We construct entanglement witnesses using fundamental quantum operators of spin models which contain two-particle interactions and posses a certain symmetry. By choosing the Hamiltonian as such an operator, our method can be used for detecting entanglement by energy measurement. We apply this method to the cubic Heisenberg lattice model in a magnetic field, the XY model and other familiar spin systems. Our method is used to obtain a temperature bound for separable states for systems in thermal equilibrium. We also study the Bose-Hubbard model and relate its energy minimum for separable states to the minimum obtained from the Gutzwiller ansatz.

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