Proposal for the Quantum Simulation of the CP(2) Model on Optical Lattices

  title={Proposal for the Quantum Simulation of the CP(2) Model on Optical Lattices},
  author={Catherine Laflamme and Wynne Evans and Marcello Dalmonte and Urs Gerber and H'ector Mej'ia-D'iaz and Wolfgang Bietenholz and U. Wiese and Peter Zoller},
  journal={arXiv: High Energy Physics - Lattice},
The 2d CP(N-1) models share a number of features with QCD, like asymptotic freedom, a dynamically generated mass gap and topological sectors. They have been formulated and analysed successfully in the framework of the so-called D-theory, which provides a smooth access to the continuum limit. In that framework, we propose an experimental set-up for the quantum simulation of the CP(2) model. It is based on ultra-cold Alkaline-Earth Atoms (AEAs) located on the sites of an optical lattice, where… 

Figures from this paper

Field and Gauge Theories with Ultracold Gauge Potentials and Fields
In the last decade there has been an intense activity aimed at the quantum simulation of interacting many-body systems using cold atoms [1, 2]. The idea of quantum simulations traces back to Feynman
Lattice gauge theory simulations in the quantum information era
The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behaviour of elementary particles to the physics of electrons in solids. Most of our
Hadron Physics from Lattice QCD
We sketch the basic ideas of the lattice regularization in Quantum Field Theory, the corresponding Monte Carlo simulations, and applications to Quantum Chromodynamics (QCD). This approach enables the
Gauge Theories with Ultracold Atoms
We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.


Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
The Hamiltonian formulation of lattice gauge theories is reviewed, and the recent progress in constructing the quantum simulation of Abelian and non-Abelian lattICE gauge theories in 1  +‬1 and 2‬2 dimensions using ultracold atoms in optical lattices is described.
  • Rev. Lett. 94
  • 2005
Annalen Phys
  • 525
  • 2013
  • Phys. B492 (1997) 455. R. Brower, S. Chandrasekharan and U.-J. Wiese, Phys. Rev. D60 (1999) 094502. R. Brower, S. Chandrasekharan, S. Riederer and U.-J. Wiese, Nucl. Phys. B693
  • 2004
  • Rev. A77
  • 2008
  • Rev. A85
  • 2012
  • Rev. Lett. 90
  • 2003
  • Rev. Lett. 53
  • 1984