Topological Wilson-loop area law manifested using a superposition of loops

Abstract

We introduce a new topological effect involving interference of two meson loops, manifesting a path-independent topological area dependence. The effect also draws a connection between quark confinement, Wilson-loops and topological interference effects. Although this is only a gedanken experiment in the context of particle physics, such an experiment may be realized and used as a tool to test confinement effects and phase transitions in quantum simulation of dynamic gauge theories.

Superceding arXiv:1206.2021v1 [quant-ph]

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• Simulations of non-Abelian gauge theories with optical lattices
• Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
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• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Non-Abelian string breaking phenomena with Matrix Product States
• Hamiltonian simulation of the Schwinger model at finite temperature
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Building Projected Entangled Pair States with a Local Gauge Symmetry
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Quantum Simulation of Light-Front Parton Correlators
• Quantum sensors for the generating functional of interacting quantum field theories
• Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators
• Half a state, half an operator: a general formulation of stators
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Prolegomena to a hybrid classical/Rydberg simulator for hadronization (QuPyth)