A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$
gauge theories
- URL: http://arxiv.org/abs/2311.16758v1
- Date: Tue, 28 Nov 2023 13:01:24 GMT
- Title: A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$
gauge theories
- Authors: Enrico C. Domanti, Dario Zappal\`a, Alejandro Bermudez, Luigi Amico
- Abstract summary: Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators.
We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT.
We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
- Score: 44.99833362998488
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recent advances in the field of quantum technologies have opened up the road
for the realization of small-scale quantum simulators of lattice gauge theories
which, among other goals, aim at improving our understanding on the
non-perturbative mechanisms underlying the confinement of quarks. In this work,
considering periodically-driven arrays of Rydberg atoms in a tweezer ladder
geometry, we devise a scalable Floquet scheme for the quantum simulation of the
real-time dynamics in a $\mathbb{Z}_2$ LGT. Resorting to an external magnetic
field to tune the angular dependence of the Rydberg dipolar interactions, and
by a suitable tuning of the driving parameters, we manage to suppress the main
gauge-violating terms, and show that an observation of gauge-invariant
confinement dynamics in the Floquet-Rydberg setup is at reach of current
experimental techniques. Depending on the lattice size, we present a thorough
numerical test of the validity of this scheme using either exact
diagonalization or matrix-product-state algorithms for the
periodically-modulated real-time dynamics.
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