Gauge Theories with Ultracold Atoms

  title={Gauge Theories with Ultracold Atoms},
  author={Joao C. Pinto Barros and Michele Burrello and Andrea Trombettoni},
  journal={Springer Proceedings in Physics},
We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms. 

Quantum Field Theory Anomalies in Condensed Matter Physics

We give a pedagogical introduction to quantum anomalies, how they are calculated using various methods, and why they are important in condensed matter theory. We discuss axial, chiral, and

Stabilizing Gauge Theories in Quantum Simulators: A Brief Review

Quantum simulation is at the heart of the ongoing “second” quantum revolution, with various synthetic quantum matter platforms realizing evermore exotic condensed matter and particle physics

Stabilizing lattice gauge theories through simplified local pseudogenerators

The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors

Suppression of $1/f$ noise in quantum simulators of gauge theories

In the current drive to quantum-simulate evermore complex gauge-theory phenomena, it is nec-essary to devise schemes allowing for the control and suppression of unavoidable gauge-breaking errors on

Achieving the quantum field theory limit in far-from-equilibrium quantum link models

Realizations of gauge theories in setups of quantum synthetic matter open up the possibility of probing salient exotic phenomena in condensed matter and high-energy physics, along with potential

Enhancing Disorder-Free Localization through Dynamically Emergent Local Symmetries

Disorder-free localization is a recently discovered phenomenon of nonergodicity that can emerge in quantum many-body systems hosting gauge symmetries when the initial state is prepared in a

Disorder-free localization with Stark gauge protection

Disorder-free localization in translation-invariant gauge theories presents a counterintuitive yet powerful framework of ergodicity breaking in quantum many-body physics. The fragility of this

Edge State, Localization Length, and Critical Exponent from Survival Probability in Topological Waveguides.

Edge states in topological phase transitions have been observed in various platforms. To date, verification of the edge states and the associated topological invariant are mostly studied, and yet a



Simulating (2+1)-dimensional lattice QED with dynamical matter using ultracold atoms.

We suggest a method to simulate compact quantum electrodynamics using ultracold atoms in optical lattices, which includes dynamical Dirac fermions in 2+1 dimensions. This allows us to test the

Emergence of artificial photons in an optical lattice.

Theoretical feasibility of direct analog simulation of the compact U(1) lattice gauge theories in optical lattices with dipolar bosons is established and the testable signatures of this emergent phase in noise correlation measurements are predicted, suggesting the possible emergence of artificial light in Optical lattices.

Quantum Simulation of a Lattice Schwinger Model in a Chain of Trapped Ions

Gauge theories such as quantum electrodynamics, in principle, give us a precise understanding of the interactions between subatomic particles, but often the calculations involved are beyond current

Universal Quantum Simulators

Feynman's 1982 conjecture, that quantum computers can be programmed to simulate any local quantum system, is shown to be correct.

Abelian Gauge Potentials on Cubic Lattices

The study of the properties of quantum particles in a periodic potential subjected to a magnetic field is an active area of research both in physics and mathematics, and it has been and is yet deeply

Significance of Electromagnetic Potentials in the Quantum Theory

In this paper, we discuss some interesting properties of the electromagnetic potentials in the quantum domain. We shall show that, contrary to the conclusions of classical mechanics, there exist

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields

Topological effects can result from a material's intrinsic properties, or can be generated by external electromagnetic fields or mechanical deformations. Researchers analyze how driven quantum

Discrete Abelian gauge theories for quantum simulations of QED

We study a lattice gauge theory in Wilson’s Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a discrete gauge

Ultraviolet Behavior of Non-Abelian Gauge Theories

It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained