Implementing quantum electrodynamics with ultracold atomic systems

Abstract

We discuss the experimental engineering of model systems for the description of QED in one spatial dimension via a mixture of bosonic ${}^{23}$Na and fermionic ${}^6$Li atoms. The local gauge symmetry is realized in an optical superlattice, using heteronuclear boson-fermion spin-changing interactions which preserve the total spin in every local collision. We consider a large number of bosons residing in the coherent state of a Bose-Einstein condensate on each link between the fermion lattice sites, such that the behavior of lattice QED in the continuum limit can be recovered. The discussion about the range of possible experimental parameters builds, in particular, upon experiences with related setups of fermions interacting with coherent samples of bosonic atoms. We determine the atomic system's parameters required for the description of fundamental QED processes, such as Schwinger pair production and string breaking. This is achieved by benchmark calculations of the atomic system and of QED itself using functional integral techniques. Our results demonstrate that the dynamics of one-dimensional QED may be realized with ultracold atoms using state-of-the-art experimental resources. The experimental setup proposed may provide a unique access to longstanding open questions for which classical computational methods are no longer applicable.

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Nonlinear atom interferometer surpasses classical precision limit
• Fisher Information and entanglement of non-Gaussian spin states
• On the stability of U(1) spin liquids in two dimensions
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Quantum simulation of the Schwinger model: A study of feasibility
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Super-Adiabatic Particle Number in Schwinger and de Sitter Particle Production
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• Connecting real-time properties of the massless Schwinger model to the massive case
• Microscopic theory of resonant soft x-ray scattering in systems with charge order