Abstract
Quantum ice, an archetype of frustrated systems, exhibits links between spin physics and electromagnetism. A numerical investigation show how quantum ice dynamics can be realized in ensembles of ultracold Rydberg atoms in optical lattice potentials.
Highlights
The ice model has been fundamental in furthering our understanding of collective phenomena in condensed matter and statistical physics: In 1935, Pauling provided an explanation of the “zero-point entropy’ of water ice [1] as measured by Giauque and Stout [2], while Lieb demonstrated, with his exact solution of the ice model in two dimensions [3], that there exist phase transitions with critical exponents that are different from those of Onsager’s solution of the Ising model
While throughout the paper we will mostly be interested in quantum-ice models, which require the development of advanced interaction-pattern design, we will discuss a second strategy to implement constrained dynamics, and, in particular, quantum dimer models, with Rydberg atoms
There is a transition into a phase with classical ordering, which is stabilized by the long-range parts of the dipolar couplings and which breaks translational symmetry in a different way
Summary
The ice model has been fundamental in furthering our understanding of collective phenomena in condensed matter and statistical physics: In 1935, Pauling provided an explanation of the “zero-point entropy’ of water ice [1] as measured by Giauque and Stout [2], while Lieb demonstrated, with his exact solution of the ice model in two dimensions [3], that there exist phase transitions with critical exponents that are different from those of Onsager’s solution of the Ising model. While throughout the paper we will mostly be interested in quantum-ice models, which require the development of advanced interaction-pattern design, we will discuss a second strategy to implement constrained dynamics, and, in particular, quantum dimer models, with Rydberg atoms It relies on combining simple interaction patterns, such as the ones generated by s states, with complex lattice structures, which can be realized either via proper laser combination or by the recently developed optical lattice design with digital micromirror devices [67].
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