# Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose-Einstein condensate in ferromagnetic phase at finite temperatures

@inproceedings{Andreev2021HydrodynamicMO, title={Hydrodynamic model of skyrmions and vorticities in the spin-1 Bose-Einstein condensate in ferromagnetic phase at finite temperatures}, author={Pavel A. Andreev}, year={2021} }

Quantum hydrodynamic of skyrmions in spinor ultracold bosons at the ﬁnite temperature is described. The limit regime of BEC appearing at the zero temperature is discussed either. The skyrmions are found as the solution of the spin evolution equation for the ferromagnetic phase of spin-1 ultracold bosons. It is demonstrated that the quantum part of the spin current gives major contribution in the formation of the skyrmions. The interplay between the quantum (spin) vorticity and the classic…

## References

SHOWING 1-10 OF 58 REFERENCES

### Quantum hydrodynamics of the spinor Bose–Einstein condensate at non-zero temperatures

- Physics
- 2021

Finite temperature hydrodynamic model is derived for the spin-1 ultracold bosons by the manyparticle quantum hydrodynamic method. It is presented as the two fluid model of the BEC and normal fluid.…

### Three-fluid hydrodynamics of spin-1 Bose-Einstein condensates

- Physics
- 2012

We study excitations of the spin-1 Bose gas at finite temperatures and in the presence of a not-so-strong magnetic field or, equivalently, when the gas sample is partially polarized. Motivated by the…

### Hydrodynamic description of spin-1 Bose-Einstein condensates

- Physics
- 2012

We establish a complete set of hydrodynamic equations for a spin-1 Bose-Einstein condensate (BEC), which are equivalent to the multi-component Gross-Pitaevskii equations and expressed in terms of…

### Precise measurements on a quantum phase transition in antiferromagnetic spinor Bose-Einstein condensates

- Physics
- 2017

We investigate, both experimentally and theoretically, the quench dynamics of antiferromagnetic spinor Bose-Einstein condensates in the vicinity of a zero temperature quantum phase transition at zero…

### Spin-superflow turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates

- Physics
- 2014

Spin-superflow turbulence (SST) in spin-1 ferromagnetic spinor Bose-Einstein condensates is theoretically and numerically studied by using the spin-1 spinor Gross-Pitaevskii (GP) equations. SST is…

### Hydrodynamic equation of a spinor dipolar Bose-Einstein condensate

- Physics
- 2010

We introduce equations of motion for spin dynamics in a ferromagnetic Bose-Einstein condensate with magnetic dipole-dipole interaction, written using a vector expressing the superfluid velocity and a…

### Formulation for zero mode of Bose-Einstein condensate beyond Bogoliubov approximation

- Physics
- 2014

It is shown for the Bose-Einstein condensate of cold atomic system that the new unperturbed Hamiltonian, which includes not only the first and second powers of the zero mode operators but also the…

### Three-dimensional skyrmions in spin-2 Bose-Einstein condensates

- Physics
- 2017

We introduce topologically stable three-dimensional skyrmions in the cyclic and biaxial nematic phases of a spin-2 Bose–Einstein condensate. These skyrmions exhibit exceptionally high mapping degrees…

### Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate.

- PhysicsChaos
- 2021

Traditional quantum hydrodynamics of Bose-Einstein condensates (BECs) is restricted by the continuity and Euler equations but the quantum fluctuations introduce the instability of the BECs, which is covered in terms of hydrodynamic methods.