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

@article{Zohar2016QuantumSO, title={Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices}, author={Erez Zohar and Juan Ignacio Cirac and Benni Reznik}, journal={Reports on Progress in Physics}, year={2016}, volume={79} }

Can high-energy physics be simulated by low-energy, non-relativistic, many-body systems such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in particular, they manifest neither local gauge invariance nor Lorentz invariance, which are crucial properties of the quantum field theories which are the building blocks of the standard model of elementary particles. However, it turns out, surprisingly, that there are…

## 254 Citations

Quantum Simulations of Abelian Lattice Gauge Theories with Ultracold Atoms

- Physics
- 2016

In the present work, a quantum simulation scheme for the lattice version of the Abelian-Higgs theory is proposed, using a system of ultracold bosonic atoms trapped in optical lattices. Furthermore, a…

Observation of gauge invariance in a 71-site quantum simulator

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The modern description of elementary particles is built on gauge theories. Such theories implement fundamental laws of physics by local symmetry constraints, such as Gauss's law in the interplay of…

Towards analog quantum simulations of lattice gauge theories with trapped ions

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Gauge field theories play a central role in modern physics and are at the heart of the Standard Model of elementary particles and interactions. Despite significant progress in applying classical…

Quantum simulation of the Abelian-Higgs lattice gauge theory with ultracold atoms

- Physics
- 2017

We present a quantum simulation scheme for the Abelian-Higgs lattice gauge theory using ultracold bosonic atoms in optical lattices. The model contains both gauge and Higgs scalar fields, and…

Lattice gauge theory simulations in the quantum information era

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- 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…

Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator.

- PhysicsNature
- 2020

The quantum simulation of an extended U(1) lattice gauge theory is reported, and the degree to which Gauss's law is violated is measured by extracting probabilities of locally gauge-invariant states from correlated atom occupations, providing a way to explore gauge symmetry in the interplay of fundamental particles using controllable large-scale quantum simulators.

A scalable realization of local U(1) gauge invariance in cold atomic mixtures

- PhysicsScience
- 2020

A scalable analog quantum simulator of a U(1) gauge theory in one spatial dimension is proposed using interspecies spin-changing collisions in an atomic mixture to achieve gauge-invariant interactions between matter and gauge fields with spin- and species-independent trapping potentials.

Lattice Gauge Theories and String Dynamics in Rydberg Atom Quantum Simulators

- Physics
- 2019

Gauge theories are the cornerstone of our understanding of fundamental interactions among particles. Their properties are often probed in dynamical experiments, such as those performed at ion…

Toolbox for Abelian lattice gauge theories with synthetic matter

- Physics
- 2017

Fundamental forces of Nature are described by field theories, also known as gauge theories, based on a local gauge invariance. The simplest of them is quantum electrodynamics (QED), which is an…

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