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setup proposed may provide a unique access to longstanding open questions for which classical computational methods are no longer applicable.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 (53)

• Many-Body Physics with Ultracold Gases
• Non-Abelian Anyons and Topological Quantum Computation
• Synthetic magnetic fields for ultracold neutral atoms
• Spinor Bose-Einstein condensates
• Nonlinear atom interferometer surpasses classical precision limit
• Phase space representation of quantum dynamics
• Fisher Information and entanglement of non-Gaussian spin states
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Observation of String Breaking in QCD
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Engineering Ising-XY spin models in a triangular lattice via tunable artificial gauge fields
• Quantum Link Models: A Discrete Approach to Gauge Theories
• 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
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies
• Simulations of non-Abelian gauge theories with optical lattices
• The mass spectrum of the Schwinger model with Matrix Product States
• Atomic homodyne detection of continuous variable entangled twin-atom states
• Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
• Matrix product states for gauge field theories
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Motional Coherence of Fermions Immersed in a Bose Gas
• Quantum simulation of the Schwinger model: A study of feasibility
• Classical approximation for time dependent quantum field theory: diagrammatic analysis for hot scalar fields
• Simulating fermion production in 1+1 dimensional QED
• Real-time dynamics of string breaking
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• String Breaking in Non-Abelian Gauge Theories with Fundamental Matter Fields
• Schwinger pair production with ultracold atoms
• Accurate Atom Counting in Mesoscopic Ensembles
• The Boltzmann Equation in Classical and Quantum Field Theory
• Super-Adiabatic Particle Number in Schwinger and de Sitter Particle Production
• Fermion production from real-time lattice gauge theory in the classical-statistical regime
• Real-Time Dynamics with Fermions on a Lattice
• String breaking in SU(2) gauge theory with scalar matter fields
• Quantum theory of fermion production after inflation
• Feshbach spectroscopy and scattering properties of ultracold Li+Na mixtures
• Optical lattice quantum simulator for QED in strong external fields: spontaneous pair creation and the Sauter-Schwinger effect
• String Breaking as a Mixing Phenomenon in the SU(2) Higgs Model
• EMMI Rapid Reaction Task Force on "Thermalization in Non-abelian Plasmas"
• Early quark production and approach to chemical equilibrium
• Anomalous soft photon production from the induced currents in Dirac sea
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• Jet energy loss and fragmentation in heavy ion collisions
• The Lattice Schwinger Model: Confinement, Anomalies, Chiral Fermions and All That
• Overlap of the Wilson loop with the broken-string state
• 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

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• Cold atoms meet lattice gauge theory
• Two-dimensional quantum breakdown model with Krylov subspace many-body localization
• Digital quantum simulation and Pseudoquantum Simulation of ${\mathbb{Z}}_2$ Gauge Higgs Model
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Robust quantum many-body scars in lattice gauge theories
• Real-space blocking of qubit variables on parallel lattice gauge theory links for quantum simulation
• Mean Field Approaches to Lattice Gauge Theories: A Review