On the interaction constant measurement of polarized fermions via sound wave spectra obtained from hydrodynamics with the pressure evolution equation

Andreev, Pavel A.

doi:10.48550/arxiv.1912.00843

Cited by 13 publications

(22 citation statements)

References 26 publications

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“…(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%

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

Andreev,

Mosaki,

Trukhanova

2021

Preprint

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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.

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Section: Hydrodynamic Equationsmentioning

confidence: 99%

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

Andreev,

Mosaki,

Trukhanova

2021

Preprint

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“…The pressure of the normal fluid is dropped in equation (46). Equations ( 45), ( 46) correspond to equations 127-129 given in Ref.…”

Section: Nonlinear Schrodinger Equationsmentioning

confidence: 99%

“…Therefore, the account of the pressure evolution together with the pressure flux evolution gives the generalization of the model presented with the nonlinear Schrodinger equations ( 45), (46). Necessity of additional equations is demonstrated in Refs.…”

Section: Nonlinear Schrodinger Equationsmentioning

confidence: 99%

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

Andreev¹

2021

Preprint

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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.

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“…Unpolarized fermions are mostly discussed in literature regime for fermions [21], [22], [23]. If we have system of spin-1/2 Fermi atoms with equal population of the spinup state and the spin-down state we can observe interesting phases of matter.…”

Section: Introductionmentioning

confidence: 99%

Grey solitons in the ultracold fermions at the full spin polarization

Andreev¹

2021

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A minimal coupling quantum hydrodynamic model of spin-1/2 fermions at the full spin polarization corresponding to a nonlinear Schrodinger equation is considered. The nonlinearity is primarily caused by the Fermi pressure. It provides an effective repulsion between fermions. However, there is the additional contribution of the short-range interaction appearing in the third order by the interaction radius. It leads to the modification of the pressure contribution. Solitons are considered for the infinite medium with no restriction on the amplitude of the wave. The Fermi pressure leads to the soliton in form of the area of decreased concentration. However, the center of solution corresponding to the area of minimal concentration has nonzero value of concentration. Therefore, the grey soliton is found. Soliton exist if the speed of its propagation is below the Fermi velocity.

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On the interaction constant measurement of polarized fermions via sound wave spectra obtained from hydrodynamics with the pressure evolution equation

Cited by 13 publications

References 26 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

Grey solitons in the ultracold fermions at the full spin polarization

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