Extended hydrodynamics of the degenerate partially spin polarized fermions with the short-range interaction up to the third order by the interaction radius approximation

Andreev, Pavel A.

doi:10.48550/arxiv.2001.02764

Cited by 7 publications

(32 citation statements)

References 42 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…int for the short-range interaction in the first order by the interaction radius [10], [11], [12], [22] leads to the following result…”

Section: Hydrodynamic Equationsmentioning

confidence: 96%

“…(3) The microscopic distribution of spin-1 bosons in the physical space can be obtained by the projection of the distribution in the configurational space [8], [10], [12], [41], [42], [43]…”

Section: Hydrodynamic Equationsmentioning

confidence: 99%

“…The Gross-Pitaevskii equation can be derived from the microscopic quantum mechanics represented in the second quantization form [7], which is one of realizations for the transition from the microscopic to the macroscopic models. The many-particle quantum hydrodynamics presents another approach giving the representation of the many-particle wave function via the set of hydrodynamic functions [8], [9], [10], [11], [12], [13]. The density-functional theory for spin-0 bosons is considered including the GP equation [14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Andreev,

Mosaki,

Trukhanova

2021

Preprint

Self Cite

View full text Add to dashboard Cite

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. The linear and quadratic Zeeman effects are included. Scalar and spin-spin like shortrange interactions are considered in the first order by the interaction radius. It is 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 g1 + g2 with gi are the interaction constants.

show abstract

“…int for the short-range interaction in the first order by the interaction radius [10], [11], [12], [22] leads to the following result…”

Section: Hydrodynamic Equationsmentioning

confidence: 96%

Section: Hydrodynamic Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Andreev,

Mosaki,

Trukhanova

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This definition of tensor T αβγ differs from equation (27) in Ref. [35] by extraction of the quantum Bohm potentials written together with pressure tensors in equation (21). Equation (27) in Ref.…”

Section: B the Pressure Evolution Equationmentioning

confidence: 97%

“…However, we point out some difference which appear for the momentum flux Π αβ . Its structure is obtained in many papers (see for instance [2] after equation (52), [35] equation (24))…”

Section: A Basic Definitions Of Quantum Hydrodynamics and The Euler E...mentioning

confidence: 99%

Two-fluid hydrodynamics of cold atomic bosons under influence of the quantum fluctuations at non-zero temperatures

Andreev¹

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Ultracold Bose atoms is the physical system, where the quantum and nonlinear phenomena play crucial role. Ultracold bosons are considered at the small finite temperatures. Bosons are considered as two different fluids: Bose-Einstein condensate and normal fluid (the thermal component). An extended hydrodynamic model is obtained for both fluids, where the pressure evolution equations and the pressure flux third rank tensor evolution equations are considered along with the continuity and Euler equations. It is found that the pressure evolution equation contains zero contribution of the short-range interaction. The pressure flux evolution equation contains the interaction which gives the quantum fluctuations in the zero temperature limit. Here, we obtain its generalization for the finite temperature. The contribution of interaction in the pressure flux evolution equation which goes to zero in the zero temperature limit is found. The model is obtained via the straightforward derivation from the microscopic many-particle Schrodinger equation in the coordinate representation.

show abstract

A bosonic bright soliton in a mixture of repulsive Bose–Einstein condensate and polarized ultracold fermions under the influence of pressure evolution

2020

View full text Add to dashboard Cite

Repulsive Bose-Einstein condensates, where short-range interaction is included up to the third order by the interaction radius, demonstrate the existence of bright solitons in a narrow interval of parameters. These solitons are studied here for the boson-fermion mixture, where spin-1/2 fermions are considered in the regime of full-spin polarization. The influence of fermions on bosonic bright solitons via the boson-fermion interaction is considered up to the third order by the interaction radius. Fermions themselves are considered within the hydrodynamic model, which includes the kinetic pressure-evolution equation. The interactions between fermions are also considered. The first order by the interaction radius makes a zero contribution to the Euler equation and the kinetic pressure evolution equation for fermions, but the third order by the interaction radius provides nonzero contributions to both equations. The repulsive (attractive) boson-fermion interaction leads to bright (dark) fermionic solitons.

show abstract

Extended hydrodynamics of the degenerate partially spin polarized fermions with the short-range interaction up to the third order by the interaction radius approximation

Cited by 7 publications

References 42 publications

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

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

Two-fluid hydrodynamics of cold atomic bosons under influence of the quantum fluctuations at non-zero temperatures

A bosonic bright soliton in a mixture of repulsive Bose–Einstein condensate and polarized ultracold fermions under the influence of pressure evolution

Contact Info

Product

Resources

About