Effective Spin Quantum Phases in Systems of Trapped Ions

Details Effective Spin Quantum Phases in Systems of Trapped Ions Effective Spin Quantum Phases in Systems of Trapped Ions

2005-09-28

arxiv.org/abs/quant-ph/0509197v1

Phys. Rev. A 72, 063407 (2005)

Physics

Quantum Physics

11 pages, 13 figures

Scientific paper

10.1103/PhysRevA.72.063407

A system of trapped ions under the action of off--resonant standing--waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be observed in the simplest realization of this idea: quantum Ising and XY models. Our numerical calculations with the Density Matrix Renormalization Group method show that experiments with ion traps should allow one to access general properties of quantum critical systems. On the other hand, ion trap quantum spin models show a few novel features due to the peculiarities of induced effective spin--spin interactions which lead to interesting effects like long--range quantum correlations and the coexistence of different spin phases.

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