Entanglement Witnesses in Spin Models
arXiv:quant-ph/0406061 · doi:10.1103/PhysRevA.71.010301
Abstract
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.
5 pages including 3 figures, revtex4; some typos corrected
References in corpus (4)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Entanglement versus Correlations in Spin Systems
- Efficient use of quantum resources for the transmission of a reference frame
- Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
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