Many-particle Quantum Hydrodynamics of Spin-1 Bose-Einstein Condensates
arXiv:2101.03422 · doi:10.1088/1402-4896/abcdc3
Abstract
We develop a novel model of the magnetized spin-1 Bose-Einstein condensate (BEC) of neutral atoms, using the method of many-particle quantum hydrodynamic (QHD) and propose an original derivation of the system of continual equations. We consider bosons with a spin-spin interaction and a short range interaction in the first order in the interaction radius, on the of basis of the self-consistent field approximation of the QHD equations. We demonstrate that the dynamics of the fluid velocity and magnetization is determined by a nontrivial modification of the Euler and Landau-Lifshitz equation, and show that a nontrivial modification of the spin density evolution equation contains the spin torque effect that arises from the self-interactions between spins of the bosons. The properties of the dispersion spectrum of collective excitations are described. We obtain the new contribution of the self-interaction of spins in the spin wave spectrum together with the influence of an external magnetic field and spin-spin interactions between polarized particles. The anisotropic spin wave instability is predicted.
References in corpus (16)
- Spinor Bose-Einstein condensates
- Strong dipolar effects in a quantum ferrofluid
- Dynamics of spin 1/2 quantum plasmas
- Evidence for Skyrmions and Single Spin Flips in the Integer Quantized Hall Effect
- Creation and detection of skyrmions in a Bose-Einstein condensate
- Crystallized merons and inverted merons in the condensation of spin-1 Bose gases with spin-orbit coupling
- A geometrical approach to the dynamics of spinor condensates II: Collective modes
- A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
- Long wavelength spin dynamics of ferromagnetic condensates
- Hydrodynamic Description of Spin-1 Bose-Einstein Condensates
- Spin-Electromagnetic Hydrodynamics and Magnetization Induced by Spin-Magnetic Interaction
- Stable Skyrmions in spinor condensates
- Configurational entropy of magnetic skyrmions as an ideal gas
- Bright-like soliton solution in quasi-one-dimensional BEC in third order on interaction radius
- Quantum Hydrodynamics Approach to The Research of Quantum Effects and Vorticity Evolution in Spin Quantum Plasmas
- Three fluid hydrodynamics of spin-1 Bose-Einstein condensates