Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms

Abstract

Lattice gauge theory has provided a crucial non-perturbative method in studying canonical models in high-energy physics such as quantum chromodynamics. Among other models of lattice gauge theory, the lattice gauge-Higgs model is a quite important one because it describes wide variety of phenomena/models related to the Anderson-Higgs mechanism such as superconductivity, the standard model of particle physics, and inflation process of the early universe. In this paper, we first show that atomic description of the lattice gauge model allows us to explore real time dynamics of the gauge variables by using the Gross-Pitaevskii equations. Numerical simulations of the time development of an electric flux reveal some interesting characteristics of dynamical aspect of the model and determine its phase diagram. Next, to realize a quantum simulator of the U(1) lattice gauge-Higgs model on an optical lattice filled by cold atoms, we propose two feasible methods: (i) Wannier states in the excited bands and (ii) dipolar atoms in a multilayer optical lattice. We pay attentions to respect the constraint of Gauss's law and avoid nonlocal gauge interactions.

13 pages, 7 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Bose-Einstein condensation of chromium
• Bose-Einstein Condensation of Erbium
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Artificial square ice and related dipolar nanoarrays
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Optical Abelian Lattice Gauge Theories
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Single-particle vs. pair superfluidity in a bilayer system of dipolar bosons
• Emergence of Artificial Photons in an Optical Lattice
• Magnetic order, Bose-Einstein condensation, and superfluidity in a bosonic t-J model of CP^1 spinons and doped Higgs holons

Cited by in corpus (4)

• Lattice gauge theories in the presence of a linear gauge-symmetry breaking
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators
• Kibble-Zurek mechanism in quantum link model