Synthetic Gauge Structures in Real Space in a Ring lattice
arXiv:1912.08450 · doi:10.1038/s41598-019-50474-9
Abstract
Emergence of fundamental forces from gauge symmetry is among our most profound insights about the physical universe. In nature, such symmetries remain hidden in the space of internal degrees of freedom of subatomic particles. Here we propose a way to realize and study gauge structures in real space, manifest in external degrees of freedom of quantum states. We present a model based on a ring-shaped lattice potential, which allows for both Abelian and non-Abelian constructs. Non trivial Wilson loops are shown possible via physical motion of the system. The underlying physics is based on the close analogy of geometric phase with gauge potentials that has been utilized to create synthetic gauge fields with internal states of ultracold atoms. By scaling up to an array with spatially varying parameters, a discrete gauge field can be realized in position space, and its dynamics mapped over macroscopic size and time scales.
arXiv comment7 pages, 4 figures
References in corpus (12)
- Berry Phase Effects on Electronic Properties
- Artificial gauge potentials for neutral atoms
- Synthetic magnetic fields for ultracold neutral atoms
- Light-induced gauge fields for ultracold atoms
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Hysteresis in a quantized, superfluid atomtronic circuit
- A synthetic electric force acting on neutral atoms
- Coherent electronic transfer in quantum dot systems using adiabatic passage
- Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms
- Three level atom optics via the tunneling interaction
- Transparent, Non-local, Species-selective Transport in an Optical Superlattice Containing Two Interacting Atom Species
- Measurement and Significance of Wilson Loops in Synthetic Gauges Fields