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PreprintCC BY 4.0arXiv

Roton Instability in Quantum Droplets with Finite-Range Soft-Core Interaction

  • Avra Banerjee
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Abstract

We investigate the emergence of roton instability in self-bound quantum droplets interacting via a finite-range soft-core potential modeled by a Heaviside step interaction. The ground-state properties are obtained by solving the extended Gross-Pitaevskii equation including Lee-Huang-Yang corrections with a nonlocal interaction term. The collective excitation spectrum reveals the formation and progressive softening of a roton minimum as the interaction strength and range increase. When the roton energy approaches zero, the system becomes unstable, signaling the onset of density modulation. The rotonic behavior is further characterized through the static structure factor, which exhibits pronounced peaks at the roton momentum.

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Cite

BibTeXRIS
BibTeX
@misc{banerjee2026roton,
  title = {{Roton Instability in Quantum Droplets with Finite-Range Soft-Core Interaction}},
  author = {Avra Banerjee},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.24813},
  eprint = {2608.24813},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.24813},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Roton Instability in Quantum Droplets with Finite-Range Soft-Core Interaction
AU  - Avra Banerjee
PY  - 2026
DA  - 2026/08/25
PB  - arXiv
DO  - 10.48550/arxiv.2608.24813
UR  - https://arxiv.org/abs/2608.24813
AB  - We investigate the emergence of roton instability in self-bound quantum droplets interacting via a finite-range soft-core potential modeled by a Heaviside step interaction. The ground-state properties are obtained by solving the extended Gross-Pitaevskii equation including Lee-Huang-Yang corrections with a nonlocal interaction term. The collective excitation spectrum reveals the formation and progressive softening of a roton minimum as the interaction strength and range increase. When the roton energy approaches zero, the system becomes unstable, signaling the onset of density modulation. The rotonic behavior is further characterized through the static structure factor, which exhibits pronounced peaks at the roton momentum.
ER  -