Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$
Lattice Gauge Theory
- URL: http://arxiv.org/abs/2107.13024v2
- Date: Fri, 17 Dec 2021 08:27:06 GMT
- Title: Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$
Lattice Gauge Theory
- Authors: Tsafrir Armon, Shachar Ashkenazi, Gerardo Garc\'ia-Moreno, Alejandro
Gonz\'alez-Tudela, Erez Zohar
- Abstract summary: Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics.
One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear.
We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
- Score: 58.720142291102135
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum simulation of lattice gauge theories (LGTs), aiming at tackling
non-perturbative particle and condensed matter physics, has recently received a
lot of interest and attention, resulting in many theoretical proposals, as well
as several experimental implementations. One of the current challenges is to go
beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained
naturally in quantum simulating devices, appear. In this Letter, we propose a
method to obtain them based on a combination of stroboscopic optical atomic
control and the non-local photon-mediated interactions appearing in
nanophotonic or cavity QED setups. We illustrate the method for a
$\mathbb{Z}_{2}$ lattice Gauge theory. We also show how to prepare the ground
state and measure Wilson loops using state-of-the-art techniques in atomic
physics.
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