The nucleation and dynamics of vortices in the quasi-two-dimensional rotating dipolar Bose-Einstein condensate are explored by taking into account the Lee-Huang-Yang (LHY) correction to the mean-field (MF) theory. Assuming approximate cancellation of the MF interactions, we focus on the formation of a pure LHY superfluid. The effect of rotational frequency $Ω$ is investigated numerically by determining the corresponding number of stable vortices in the superfluid, together with the respective energy per particle $E$ and chemical potential $μ$ . The LHY superfluid provides a deep minimum of $E$ and $μ$ , indicating that it is a remarkably robust state of quantum matter. By fixing the LHY interaction strength, an exact single-vortex critical frequency is found, along with the respective chemical potential. A notable feature, observed when creating the LHY superfluid with fewer than five vortices, which is understood as being due to the superfluid's nonlinearity and trapping aspect ratio, is the large frequency ranges admitting the production of two and four vortices, as compared to the small frequency ranges to obtain one and three vortices.The nucleation and dynamics of vortices in the quasi-two-dimensional rotating dipolar Bose-Einstein condensate are explored by taking into account the Lee-Huang-Yang (LHY) correction to the mean-field (MF) theory. Assuming approximate cancellation of the MF interactions, we focus on the formation of a pure LHY superfluid. The effect of rotational frequency $Ω$ is investigated numerically by determining the corresponding number of stable vortices in the superfluid, together with the respective energy per particle $E$ and chemical potential $μ$. The LHY superfluid provides a deep minimum of $E$ and $μ$, indicating that it is a remarkably robust state of quantum matter. By fixing the LHY interaction strength, an exact single-vortex critical frequency is found, along with the respective chemical potential. A notable feature, observed when creating the LHY superfluid with fewer than five vortices, which is understood as being due to the superfluid's nonlinearity and trapping aspect ratio, is the large frequency ranges admitting the production of two and four vortices, as compared to the small frequency ranges to obtain one and three vortices.

arXiv:2511.11540Physical Review AJan 26, 20260 citations

Superfluid State in the Periodic Anderson Model with Attractive Interactions

昌久古賀, Akihisa Koga

Jan 1, 20100 citations

Hopfions in the Lee-Huang-Yang superfluids

Liangwei Dong, Fan, Mingjing, Boris A. Malomed +1 more

It is known that, under appropriate conditions, mean-field interactions can be canceled in binary BEC, leading to the formation of the Lee-Huang-Yang (LHY) superfluid, in which the nonlinearity is solely represented by the quartic LHY term. In this work we systematically investigate the existence, stability and evolution of hopfion states in this species of quantum matter. They are characterized by two independent topological winding numbers: inner twist $s$ of the vortex-ring core and overall vorticity $m$ . The interplay between the LHY self-repulsion and a trapping harmonic-oscillator potential results in stability of the hopfions with $s = 1$ and $m$ ranging from $0$ to $4$ . The hopfions exhibit distinct topological phase distributions along the vertical axis and the radial direction in the horizontal plane. Their effective radius and peak density increase with the chemical potential, along with expansion of the vortex-ring core. Although the instability domain of the hopfion modes broadens with the increase of $m$ , stable hopfions persist in a wide range of the chemical potential, up to $m=4$ , at least, provided that the norm exceeds a certain threshold value. The predictions are experimentally accessible in currently used BEC setups.It is known that, under appropriate conditions, mean-field interactions can be canceled in binary BEC, leading to the formation of the Lee-Huang-Yang (LHY) superfluid, in which the nonlinearity is solely represented by the quartic LHY term. In this work we systematically investigate the existence, stability and evolution of hopfion states in this species of quantum matter. They are characterized by two independent topological winding numbers: inner twist $s$ of the vortex-ring core and overall vorticity $m$. The interplay between the LHY self-repulsion and a trapping harmonic-oscillator potential results in stability of the hopfions with $s = 1$ and $m$ ranging from $0$ to $4$. The hopfions exhibit distinct topological phase distributions along the vertical axis and the radial direction in the horizontal plane. Their effective radius and peak density increase with the chemical potential, along with expansion of the vortex-ring core. Although the instability domain of the hopfion modes broadens with the increase of $m$, stable hopfions persist in a wide range of the chemical potential, up to $m=4$, at least, provided that the norm exceeds a certain threshold value. The predictions are experimentally accessible in currently used BEC setups.

arXiv:2511.10977Nov 14, 20250 citations

Oscillation and Instability of a Soliton in Superfluid Atomic Gas

Liangsheng Zhang, David A. Huse

Bulletin of the American Physical SocietyMar 6, 20140 citations

Quantum tunneling and self-trapping of the Lee-Huang-Yang superfluid in double-well trap

Kh. Abdullaev, R. M. Galimzyanov, Akbar Shermaxmatov

We study the tunneling and self-trapping regimes of the Lee-Huang -Yang superfluid loaded in the double-well potential.

Quantum 2.0 Conference and ExhibitionJan 1, 20230 citations

Ω

is investigated numerically by determining the corresponding number of stable vortices in the superfluid, together with the respective energy per particle

E

and chemical potential

μ

. The LHY superfluid provides a deep minimum of

E

and

μ

, indicating that it is a remarkably robust state of quantum matter. By fixing the LHY interaction strength, an exact single-vortex critical frequency is found, along with the respective chemical potential. A notable feature, observed when creating the LHY superfluid with fewer than five vortices, which is understood as being due to the superfluid's nonlinearity and trapping aspect ratio, is the large frequency ranges admitting the production of two and four vortices, as compared to the small frequency ranges to obtain one and three vortices.

s

of the vortex-ring core and overall vorticity

m

. The interplay between the LHY self-repulsion and a trapping harmonic-oscillator potential results in stability of the hopfions with

s = 1

and

m

ranging from

0

4

. The hopfions exhibit distinct topological phase distributions along the vertical axis and the radial direction in the horizontal plane. Their effective radius and peak density increase with the chemical potential, along with expansion of the vortex-ring core. Although the instability domain of the hopfion modes broadens with the increase of

m

, stable hopfions persist in a wide range of the chemical potential, up to

m=4

, at least, provided that the norm exceeds a certain threshold value. The predictions are experimentally accessible in currently used BEC setups.