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Title: Effective spin quantum phases in systems of trapped ions

Abstract

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.

Authors:
; ;  [1]
  1. Max-Planck-Institut fuer Quantenoptik, Hans-Kopfermann-Strasse 1, Garching, D-85748 (Germany)
Publication Date:
OSTI Identifier:
20786332
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.063407; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; CORRELATIONS; DENSITY MATRIX; IONS; ISING MODEL; J-J COUPLING; RENORMALIZATION; SPIN; STANDING WAVES; TRAPPING; TRAPS

Citation Formats

Deng, X.-L., Porras, D., and Cirac, J. I. Effective spin quantum phases in systems of trapped ions. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Deng, X.-L., Porras, D., & Cirac, J. I. Effective spin quantum phases in systems of trapped ions. United States. doi:10.1103/PHYSREVA.72.0.
Deng, X.-L., Porras, D., and Cirac, J. I. Thu . "Effective spin quantum phases in systems of trapped ions". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786332,
title = {Effective spin quantum phases in systems of trapped ions},
author = {Deng, X.-L. and Porras, D. and Cirac, J. I.},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}