Deconfined quantum criticality describes continuous phase transitions that are not cap- tured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum crit- ical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transi- tion and connect them to an effective field theory obtained from bosonization techniques. We show that beyond stabilizing the valance bond order, the long-range interactions are irrelevant and the transition is well described by a double frequency sine-Gordon model. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.     «

Deconfined quantum criticality describes continuous phase transitions that are not cap- tured by the Landau-Ginzburg paradigm. Here, we investigate deconfined quantum crit- ical points in the long-range, anisotropic Heisenberg chain. With matrix product state simulations, we show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We extract the critical exponents of the transi- tion and connect them to an effective field theory obtained from b...     »