English

SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation

High Energy Physics - Lattice 2018-10-17 v1 Strongly Correlated Electrons Quantum Physics

Abstract

Quantum simulations would be highly desirable in order to investigate the finite density physics of QCD. (1+1)(1+1)-d CP(N1)\mathbb{C}P(N-1) quantum field theories are toy models that share many important features of QCD: they are asymptotically free, have a non-perturbatively generated massgap, as well as θ\theta-vacua. SU(N)SU(N) quantum spin ladders provide an unconventional regularization of CP(N1)\mathbb{C}P(N-1) models that is well-suited for quantum simulation with ultracold alkaline-earth atoms in an optical lattice. In order to validate future quantum simulation experiments of CP(2)\mathbb{C}P(2) models at finite density, here we use quantum Monte Carlo simulations on classical computers to investigate SU(3)SU(3) quantum spin ladders at non-zero chemical potential. This reveals a rich phase structure, with single- or double-species Bose-Einstein "condensates", with or without ferromagnetic order.

Keywords

Cite

@article{arxiv.1803.04767,
  title  = {SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation},
  author = {Wynne Evans and Urs Gerber and Manes Hornung and Uwe-Jens Wiese},
  journal= {arXiv preprint arXiv:1803.04767},
  year   = {2018}
}
R2 v1 2026-06-23T00:51:26.985Z