Abstract
We show how to implement a Rydberg-atom quantum simulator to study the non-equilibrium dynamics of an Abelian (1+1)-D lattice gauge theory. The implementation locally codifies the degrees of freedom of a $\mathbf{Z}_3$ gauge field, once the matter field is integrated out by means of the Gauss' local symmetries. The quantum simulator scheme is based on current available technology and scalable to considerable lattice sizes. It allows, within experimentally reachable regimes, to explore different string dynamics and to infer information about the Schwinger $U(1)$ model.
Highlights
Rydberg-atom systems are nowadays one of the most promising and versatile platforms in the field of quantum simulation for the achievement of results inaccessible via classical numerical simulations [1,2,3,4,5,6,7]
We focus on an electric field string generated by two opposite charges separated on the lattice to study different dynamical regimes: The string can persist in time or it can be broken by the spontaneous creation of particle-antiparticle pairs in the middle of it, in analogy with the confinement properties of QCD [18,36,37]
We find that the dynamics of the atomic excitations reproduces the gauge-invariant dynamics of the Z3 gauge field
Summary
Rydberg-atom systems are nowadays one of the most promising and versatile platforms in the field of quantum simulation for the achievement of results inaccessible via classical numerical simulations [1,2,3,4,5,6,7]. We propose a Rydberg-atom quantum simulator to study a one-dimensional (1D) Abelian lattice gauge theory with spinless fermions coupled to an electric field. The electrons (positrons) are represented by filled (empty) even (odd) sites and the gauge-matter interaction term proportional to t is responsible for electron-positron pair creation and annihilation During these processes, the electric field is incremental or decremental in order to satisfy the Gauss law on each site: Equivalently, given the set of gauge operators Qj =. In order to encode the gauge degrees of freedom in a quantum simulator, we need to truncate and discretize the spectrum of the electric field. To this purpose, we replace the continuous-spectrum operator Uj with the discrete clock operator.
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call