We construct strongly anisotropic quantum droplets with embedded vorticity in the 3D space,
with mutually perpendicular vortex axis and polarization of atomic magnetic moments …

Scale invariance and self-similarity in physics provide a unified framework for classifying
phases of matter and dynamical properties near equilibrium in both classical and quantum …

We theoretically investigate the ground states and the spectrum of elementary excitations
across the superfluid to droplet crystallization transition of an oblate dipolar Bose-Einstein …

Abstract This paper presents GPELab (Gross–Pitaevskii Equation Laboratory), an advanced
easy-to-use and flexible Matlab toolbox for numerically simulating many complex physics …

In this paper, based on the Scalar Auxiliary Variable (SAV) approach [44],[45] and a newly
proposed Lagrange multiplier (LagM) approach [22],[21] originally constructed for gradient …

Many of the static and dynamic properties of an atomic Bose–Einstein condensate (BEC) are
usually studied by solving the mean-field Gross–Pitaevskii (GP) equation, which is a …

GPELab is a free Matlab toolbox for modeling and numerically solving large classes of
systems of Gross–Pitaevskii equations that arise in the physics of Bose–Einstein …

A novel class of high-order linearly implicit energy-preserving integrating factor Runge–
Kutta methods are proposed for the nonlinear Schrödinger equation. Based on the idea of …

A rapidly rotating Bose gas in the quantum Hall limit is usually associated with a melted
vortex lattice. In this work, we report a self-bound and visible triangular vortex lattice without …

We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral
spatial discretization scheme for computing the ground states (GS) of rotating Bose–Einstein …