Dipolar Droplets at 3D-1D Crossover

Fuente: arXiv
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Autori principali: Pylak, Maciej, Gajda, Mariusz, Zin, Paweł
Natura: Preprint
Pubblicazione: 2024
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author Pylak, Maciej
Gajda, Mariusz
Zin, Paweł
author_facet Pylak, Maciej
Gajda, Mariusz
Zin, Paweł
contents We investigate beyond-mean-field corrections to the energy of an elongated homogeneous Bose gas strongly confined in two directions, with dipoles aligned along the long axis of the system. When the dipolar interaction reaches its critical strength, the mean-field approach predicts instability. However, similar to the free-space case, beyond-mean-field effects significantly alter the ground state of the system, leading to the formation of a self-bound atomic cloud known as a quantum droplet. Our analysis demonstrates that the beyond-mean-field contribution to the energy in the quasi-1D region, in addition to the confinement induced shift of the mean field energy, is proportional to the third power of the density $\sim n^3$. Therefore, it can be interpreted as an effective three-body repulsion that stabilizes the gas, preventing collapse and leading to a finite-density solution. We also show that the same effect plays a crucial role in the binding of strongly elongated dipolar droplets under harmonic confinement.
format Preprint
id arxiv_https___arxiv_org_abs_2405_15433
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Dipolar Droplets at 3D-1D Crossover
Pylak, Maciej
Gajda, Mariusz
Zin, Paweł
Quantum Gases
We investigate beyond-mean-field corrections to the energy of an elongated homogeneous Bose gas strongly confined in two directions, with dipoles aligned along the long axis of the system. When the dipolar interaction reaches its critical strength, the mean-field approach predicts instability. However, similar to the free-space case, beyond-mean-field effects significantly alter the ground state of the system, leading to the formation of a self-bound atomic cloud known as a quantum droplet. Our analysis demonstrates that the beyond-mean-field contribution to the energy in the quasi-1D region, in addition to the confinement induced shift of the mean field energy, is proportional to the third power of the density $\sim n^3$. Therefore, it can be interpreted as an effective three-body repulsion that stabilizes the gas, preventing collapse and leading to a finite-density solution. We also show that the same effect plays a crucial role in the binding of strongly elongated dipolar droplets under harmonic confinement.
title Dipolar Droplets at 3D-1D Crossover
topic Quantum Gases
url https://arxiv.org/abs/2405.15433