# CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices

@article{Laflamme2015CPN1QF, title={CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in 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: Quantum Physics}, year={2015} }

## 22 Citations

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

- Physics
- 2015

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…

Field and Gauge Theories with Ultracold Gauge Potentials and Fields

- Physics
- 2017

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…

From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories

- PhysicsPhilosophical Transactions of the Royal Society A
- 2021

Thanks to their finite-dimensional Hilbert space and their economical mechanism of reaching the continuum limit by dimensional reduction, quantum link models provide a resource efficient framework for the quantum simulation and computation of gauge theories.

Lattice gauge theory simulations in the quantum information era

- Physics
- 2016

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…

From the Jaynes–Cummings model to non-abelian gauge theories: a guided tour for the quantum engineer

- PhysicsNew Journal of Physics
- 2020

The design of quantum many body systems, which have to fulfill an extensive number of constraints, appears as a formidable challenge within the field of quantum simulation. Lattice gauge theories are…

From Asymptotic Freedom to θ Vacua: Qubit Embeddings of the O(3) Nonlinear σ Model.

- PhysicsPhysical review letters
- 2022

Conventional lattice formulations of θ vacua in the 1+1-dimensional O(3) nonlinear sigma model suffer from a sign problem. Here, we construct the first sign-problem-free regularization for arbitrary…

SU(4) topological resonating valence bond spin liquid on the square lattice

- PhysicsPhysical Review B
- 2019

We generalize the construction of the spin-1/2 SU(2) resonating valence bond (RVB) state to the case of the self-conjugate $\mathbf{6}$ representation of SU(4). As for the case of SU(2) [J.-Y. Chen…

Review on novel methods for lattice gauge theories

- PhysicsReports on progress in physics. Physical Society
- 2019

A review of the status and perspectives of new avenues for the exploration of lattice gauge theories based on quantum information ideas, which include tensor network calculations, quantum simulations with different physical platforms and quantum computations, and constitute nowadays a vibrant research area.

Simulating lattice gauge theories within quantum technologies

- PhysicsThe European Physical Journal D
- 2020

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information…

SU ( 2 ) and SU ( 3 ) quantum spin chains in a strong magnetic field

- Physics
- 2018

In this thesis we study antiferromagnetic SU(2) and SU(3) quantum spin chains in a large chemical potential μ3, close to saturation. One defect and two defect states and their dispersion relations…

## References

SHOWING 1-10 OF 77 REFERENCES

Ultracold Fermi gases with emergent SU(N) symmetry

- PhysicsReports on progress in physics. Physical Society
- 2014

Recent experimental and theoretical progress on ultracold alkaline-earth Fermi gases with emergent SU(N) symmetry is reviewed and some of the challenges that lie ahead for the realization of such phases such as reaching the temperature scale required to observe magnetic and more exotic quantum orders are discussed.

Lattice model for the SU(N) Néel to valence-bond solid quantum phase transition at large N.

- PhysicsPhysical review letters
- 2012

It is shown that both order parameters vanish at a single quantum-critical point, whose universal exponents for large enough N (here up to N=12) approach the values obtained in a 1/N expansion of the noncompact CP(N-1) field theory.

Atomic quantum simulation of U(N) and SU(N) non-Abelian lattice gauge theories.

- PhysicsPhysical review letters
- 2013

Using ultracold alkaline-earth atoms in optical lattices, a quantum simulator is constructed for U(N) and SU( N) lattice gauge theories with fermionic matter based on quantum link models that share qualitative features with QCD.

Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices

- PhysicsReports on progress in physics. Physical Society
- 2016

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.

Quantum gas microscopy with spin, atom-number, and multilayer readout

- Physics
- 2015

Atom- and site-resolved experiments with ultracold atoms in optical lattices provide a powerful platform for the simulation of strongly correlated materials. In this letter, we present a toolbox for…

Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism

- PhysicsScience
- 2014

This study lays the groundwork for using alkaline-earth atoms as testbeds for important orbital models by probing the non-equilibrium two-orbital SU(N) magnetism via Ramsey spectroscopy of atoms confined in an array of two-dimensional optical traps.

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

- Physics
- 2013

Abelian and non‐Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum…

Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms

- Physics
- 2009

Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of atomic clocks and degenerate quantum gases. At the same time, they are attracting…

Cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory.

- PhysicsPhysical review letters
- 2013

This Letter suggests a realization of a non-Abelian lattice gauge theory-SU(2) Yang-Mills in (1 + 1) dimensions, using ultracold atoms, and shows that gauge invariance is a direct consequence of angular momentum conservation and thus is fundamental and robust.