Quantum hydrodynamics of the spinor Bose–Einstein condensate at non-zero temperatures
- 1 June 2021
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 33 (6), 067108
- https://doi.org/10.1063/5.0053035
Abstract
A finite temperature hydrodynamic model is derived for the spin-1 ultracold bosons by the many-particle quantum hydrodynamic method. It is presented as the two fluid model of the Bose–Einstein condensate (BEC) and normal fluid. The continuity, Euler, spin evolution, and nematic tensor evolution equations are derived for each fluid. The linear and quadratic Zeeman effects are included. Scalar and spin–spin like short-range interactions are considered in the first order by the interaction radius. Obtained hydrodynamic equations are also represented as the set of two nonlinear Pauli equations. The spectrum of the bulk collective excitations is considered for the ferromagnetic phase in the small temperature limit. The spin wave is not affected by the presence of the small temperature in the described minimal coupling model, where the thermal part of the spin-current of the normal fluid is neglected. The two sound waves are affected by the spin evolution in the same way as the change of spectrum of the single sound wave in BEC, where speed of sound is proportional to with gi as the interaction constants.
Funding Information
- Russian Foundation for Basic Research (20-02-00476)
- RUDN University
This publication has 63 references indexed in Scilit:
- Spin turbulence with small spin magnitude in spin-1 spinor Bose-Einstein condensatesPhysical Review A, 2013
- Spinor Bose gases: Symmetries, magnetism, and quantum dynamicsReviews of Modern Physics, 2013
- FIRST PRINCIPLES DERIVATION OF NLS EQUATION FOR BEC WITH CUBIC AND QUINTIC NONLINEARITIES AT NONZERO TEMPERATURE: DISPERSION OF LINEAR WAVESInternational Journal of Modern Physics B, 2013
- Spinor Bose–Einstein condensatesPhysics Reports, 2012
- Three-fluid hydrodynamics of spin-1 Bose-Einstein condensatesPhysical Review A, 2012
- Hydrodynamic equation of a spinor dipolar Bose-Einstein condensatePhysical Review A, 2010
- Problem with the single-particle description and the spectra of intrinsic modes of degenerate boson-fermion systemsPhysical Review A, 2008
- Microscopic Quantum Hydrodynamics of Systems of Fermions: Part ITheoretical and Mathematical Physics, 2001
- Theory of Bose-Einstein condensation in trapped gasesReviews of Modern Physics, 1999
- Quantum hydrodynamics of particle systems with coulomb interaction and quantum bohm potentialTheoretical and Mathematical Physics, 1999