English

Phonon Stability of Quantum Droplets in a dipolar Bose gases

Quantum Gases 2022-06-07 v4

Abstract

Stabilized by quantum fluctuations, dipolar Bose-Einstein condensates can form self-bound liquidlike droplets in the mean-field unstable regime. However in the Bogoliubov theory, some phonon energies are imaginary in the long-wavelength limit, implying dynamical instability of this system. A similar instability appears in the Bogoliubov theory of a binary quantum droplet, and is removed due to higher-order quantum fluctuations as shown recently [1]. In this work, we study the phonon energy of a dipolar quantum droplet in the Beliaev formalism, and find that quantum fluctuations can enhance the phonon stability. We obtain the anisotropic sound velocity which can be tested in experiment.

Keywords

Cite

@article{arxiv.2109.03599,
  title  = {Phonon Stability of Quantum Droplets in a dipolar Bose gases},
  author = {Fan Zhang and Lan Yin},
  journal= {arXiv preprint arXiv:2109.03599},
  year   = {2022}
}