Motion of vortices in inhomogeneous Bose-Einstein condensates
We derive a general and exact equation of motion for a quantized vortex in an
inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the …
inhomogeneous two-dimensional Bose-Einstein condensate. This equation expresses the …
Bifurcation analysis of the dynamics of two vortices in a Bose–Einstein condensate. The case of intensities of opposite signs
SV Sokolov, PE Ryabov - Regular and Chaotic Dynamics, 2017 - Springer
This paper is concerned with a system two point vortices in a Bose–Einstein condensate
enclosed in a trap. The Hamiltonian form of equations of motion is presented and its …
enclosed in a trap. The Hamiltonian form of equations of motion is presented and its …
[HTML][HTML] Relative dynamics of quantum vortices and massive cores in binary BECs
We study the motion of superfluid vortices with filled massive cores. Previous point-vortex
models already pointed out the impact of the core mass on the vortex dynamical properties …
models already pointed out the impact of the core mass on the vortex dynamical properties …
Einstein–Bose condensation of Onsager vortices
We have studied statistical mechanics of a gas of vortices in two dimensions. We introduce a
new observable—a condensate fraction of Onsager vortices—to quantify the emergence of …
new observable—a condensate fraction of Onsager vortices—to quantify the emergence of …
Machine-learning classification of two-dimensional vortex configurations
We consider computer-generated configurations of quantized vortices in planar superfluid
Bose-Einstein condensates. We show that unsupervised machine-learning technology can …
Bose-Einstein condensates. We show that unsupervised machine-learning technology can …
Resonance phenomena in a two-layer two-vortex shear flow
The paper deals with a dynamical system governing the motion of two point vortices
embedded in the bottom layer of a two-layer rotating flow experiencing linear deformation …
embedded in the bottom layer of a two-layer rotating flow experiencing linear deformation …
Dynamics of two point vortices in an external compressible shear flow
EV Vetchanin, IS Mamaev - Regular and Chaotic Dynamics, 2017 - Springer
This paper is concerned with a system of equations that describes the motion of two point
vortices in a flow possessing constant uniform vorticity and perturbed by an acoustic wave …
vortices in a flow possessing constant uniform vorticity and perturbed by an acoustic wave …
Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability
This paper is concerned with the problem of three vortices on a sphere S 2 and the
Lobachevsky plane L 2. After reduction, the problem reduces in both cases to investigating a …
Lobachevsky plane L 2. After reduction, the problem reduces in both cases to investigating a …
Relative Dynamics of Vortices in Confined Bose--Einstein Condensates
T Ohsawa - arXiv preprint arXiv:2409.07657, 2024 - arxiv.org
We consider the relative dynamics--the dynamics modulo rotational symmetry in this
particular context--of $ N $ vortices in confined Bose--Einstein Condensates (BEC) using a …
particular context--of $ N $ vortices in confined Bose--Einstein Condensates (BEC) using a …
Local parametric instability near elliptic points in vortex flows under shear deformation
The dynamics of two point vortices embedded in an oscillatory external flow consisted of
shear and rotational components is addressed. The region associated with steady-state …
shear and rotational components is addressed. The region associated with steady-state …