# Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

@article{Bottcher2019DiluteDQ, title={Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation}, author={Fabian Bottcher and Matthias Wenzel and Jan-Niklas Schmidt and Ming Guo and Tim Langen and Igor Ferrier-Barbut and Tilman Pfau and Ra'ul Bomb'in and Joan S'anchez-Baena and Jordi Boronat and Ferran Mazzanti}, journal={Physical Review Research}, year={2019} }

Dipolar quantum droplets are exotic quantum objects that are self-bound due to the subtle balance of attraction, repulsion and quantum correlations. Here we present a systematic study of the critical atom number of these self-bound droplets, comparing the experimental results with extended mean-feld Gross-Pitaevskii equation (eGPE) and quantum Monte-Carlo simulations of the dilute system. The respective theoretical predictions differ and we show that the experiment supports the quantum Monte…

## 51 Citations

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## References

SHOWING 1-10 OF 65 REFERENCES

### Droplets of Trapped Quantum Dipolar Bosons.

- PhysicsPhysical review letters
- 2016

By adding a repulsive two-body potential, this work finds a narrow window of interaction parameters leading to stable ground-state configurations of droplets in a crystalline arrangement without resorting to additional stabilizing mechanisms or specific three-body forces.

### Observation of Quantum Droplets in a Strongly Dipolar Bose Gas.

- PhysicsPhysical review letters
- 2016

By systematic measurements on individual droplets it is demonstrated quantitatively that quantum fluctuations mechanically stabilize them against the mean-field collapse, and the interference of several droplets indicating that this stable many-body state is phase coherent.

### Ultradilute quantum liquid drops

- Physics
- 2017

Using quantum Monte Carlo methods we have studied dilute Bose-Bose mixtures with attractive interspecies interaction in the limit of zero temperature. The calculations are exact within some…

### Path-Integral Monte Carlo Study on a Droplet of a Dipolar Bose–Einstein Condensate Stabilized by Quantum Fluctuation

- Physics
- 2016

Motivated by recent experiments [H. Kadau et al., Nature (London) 530, 194 (2016); I. Ferrier-Barbut et al., arXiv:1601.03318] and theoretical prediction (F. Wachtler and L. Santos,…

### Transient Supersolid Properties in an Array of Dipolar Quantum Droplets

- PhysicsPhysical Review X
- 2019

We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a…

### Quantum fluctuations in dipolar Bose gases

- Physics
- 2011

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the…

### Observation of a Dipolar Quantum Gas with Metastable Supersolid Properties.

- PhysicsPhysical review letters
- 2019

In a combined experimental and theoretical analysis, this work determines the parameter regime for the formation of coherent stripes, whose lifetime of a few tens of milliseconds is limited by the eventual destruction of the stripe pattern due to three-body losses.

### A fermionic impurity in a dipolar quantum droplet

- PhysicsPhysica Scripta
- 2018

In this article we develop the framework to describe Bose–Fermi mixtures of magnetic atoms, focusing on the interaction of bosonic self-bound dipolar quantum droplets with a small number of fermions.…

### Scissors Mode of Dipolar Quantum Droplets of Dysprosium Atoms.

- PhysicsPhysical review letters
- 2018

The results establish an analogy between quantum droplets and atomic nuclei, where the existence of the scissors mode is also only due to internal interactions, and open the possibility to explore physics beyond the available theoretical models for strongly dipolar quantum gases.