2005/09/28 by Xiaolong Deng, X. -L. Deng, Diego Porras +2 · 180 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Density matrix renormalization group #Electron #Ion #Ising model #Physics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Quantum optics and atomic interactions #Quantum phase transition #Quantum phases #Quantum simulator #Quantum spin liquid #Realization (probability) #Spin (aerodynamics) #Spin engineering #Spin polarization #Trapped ion quantum computer #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physreva.72.063407
published in Physical Review A 72(6) (American Physical Society) · 11 pages, 13 figures
arxiv created 2005/09/28 · openalex publication_date 2005/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 unusual 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.