Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping

Abstract

We develop a quantum simulator architecture that is suitable for the simulation of $U(1)$ Abelian gauge theories such as quantum electrodynamics. Our approach relies on the ability to control the hopping of a particle through a barrier by means of the internal quantum states of a neutral or charged impurity-particle sitting at the barrier. This scheme is experimentally feasible, as the correlated hopping does not require fine-tuning of the intra- and inter-species interactions. We investigate the applicability of the scheme in a double well potential, which is the basic building block of the simulator, both at the single-particle and the many-body mean-field level. Moreover, we evaluate its performance for different particle interactions and trapping, and, specifically for atom-ion systems, in the presence of micro-motion.

16 pages, 8 figures, final version

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• Stabilizing lattice gauge theories through simplified local pseudo generators
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• Many-body bound states and induced interactions of charged impurities in a bosonic bath
• Gauge Theories with Ultracold Atoms
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Disorder-free localization with Stark gauge protection
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Impact of ion motion on atom-ion confinement-induced resonances in hybrid traps
• Quantum simulation of extended polaron models using compound atom-ion systems
• Reliability of lattice gauge theories in the thermodynamic limit
• Compound atom-ion Josephson junction: Effects of finite temperature and ion motion
• Ion-induced interactions in a Tomonaga-Luttinger liquid
• Gauge-Symmetry Protection Using Single-Body Terms
• Fermi polaron in atom-ion hybrid systems
• One-Dimensional Quantum Systems - From Few to Many Particles
• Flux-modulated tunable interaction regimes in two strongly nonlinear oscillators
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models