Quantum Simulators of Lattice Gauge Theories

In my talk I present a review of recent developments in the area of quantum simulators (QS) of lattice gauge theories. I will start with explaining what quantum simulators are, and will discuss various platform for and paradigmatic examples of QS. I will spend some time to explain how can one realize artificial static gauge fields in systems of trapped ultracold atoms, atoms in optical lattices and in synthetic dimensions. Finally, I will focus on  quantum simulators of lattice gauge theories and dynamical gauge fields, and present four examples:

• Wegner-Kitaev, Kogut-Wilson models
• Fermionic and Bosonic Schwinger model
• Rotor Jackiw-Rebbi model
• Non-Abelian gauge fields via dynamical decoupling

Theoretical ideas and proposals will be confronted with the experimental reality.                                       

Best regards,

T. Altinoluk, M. Kowal, P. Małkiewicz, E. Sessolo, P. Zin