Quantum kinetic Ising models

Details Quantum kinetic Ising models Quantum kinetic Ising models

2009-11-03

arxiv.org/abs/0911.0624v2

New Journal of Physics 12, 025021 (2010)

Physics

Quantum Physics

20 pages, 4 figures, minor improvements, accepted in New Journal of Physics

Scientific paper

We introduce a quantum generalization of classical kinetic Ising models, described by a certain class of quantum many body master equations. Similarly to kinetic Ising models with detailed balance that are equivalent to certain Hamiltonian systems, our models reduce to a set of Hamiltonian systems determining the dynamics of the elements of the many body density matrix. The ground states of these Hamiltonians are well described by matrix product, or pair entangled projected states. We discuss critical properties of such Hamiltonians, as well as entanglement properties of their low energy states.

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