Quantum fluctuations in one-dimensional supersolids

TL;DR

This paper investigates how quantum fluctuations affect the properties of one-dimensional supersolids, revealing a shift in the superfluid-supersolid transition and analyzing the resulting quantum critical behavior.

Contribution

It provides a low-energy theoretical framework for understanding quantum fluctuations in 1D supersolids and predicts their impact on phase transition behavior.

Findings

Quantum fluctuations prevent true long-range order in 1D supersolids.

The superfluid-supersolid transition is shifted from mean-field predictions due to quantum effects.

For current experimental parameters, the transition appears mean-field like, with the shift being unobservable.

Abstract

In one-dimension, quantum fluctuations prevent the appearance of long-range order in a supersolid, and only quasi long-range order can survive. We derive this quantum critical behavior and study its influence on the superfluid response and properties of the solid. The analysis is based on an effective low-energy description accounting for the two coupled Goldstone modes. We find that the quantum phase transition from the superfluid to the supersolid is shifted by quantum fluctuations from its mean-field prediction. However, for current experimental parameters with dipolar atomic gases, this shift is not observable and the transition appears to be mean-field like.