Two approaches to the description of dilute superfluid Bose systems

Shevchenko, S. I.; Rukin, A. S.

doi:10.1063/1.4758763

Cited by 11 publications

(13 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the presence of interaction the order parameter ( , )    r r obtains an addition proportional to 1 ( , )  r R , the expression for which has been found in [6,9]. After substituting to (12) the corresponding expression for ( , )    r r , we find with linear accuracy in the interaction…”

mentioning

confidence: 55%

“…The complex function 1 2 ( , )  r r (order parameter) present in this equation is found from the condition of minimum of the energy E . After variating the difference E N   (  is the chemical potential and N is the number of particles in the system) by 1 2 ( , )  r r and equating the result to zero an equation was obtained [9]…”

mentioning

confidence: 99%

“…For noninteracting atoms, when there is no preferential direction in the system, pol  must be proportional to 2 n  . To find the first order correction (1)  in (5), the equation for 1 2 ( , )  r r was solved using the perturbation theory with assumption that the interaction between atoms is small due to diluteness of the system [9]. The correction (1)  leads to an additional term in the polarization charge  …”

mentioning

confidence: 99%

See 2 more Smart Citations

On the Dipole Moment of Quantized Vortices in the Presence of Flows

Shevchenko

Konstantinov

2016

J Low Temp Phys

Self Cite

View full text Add to dashboard Cite

The polarization charge  of an inhomogeneous superfluid system is expressed as a function of the order parameter 1 2 ( , )  r r . It is shown that if the order parameter changes on macroscopic distances, the polarization charge pol  is proportional to 2 A n  , and the polarization P is proportional to A n  , where n is the density of the system. For noninteracting atoms the proportionality coefficient A is independent of density, and in the presence of interaction A is proportional to n . The change of the Bose gas density is found in the presence of a flow n s   w v v passing the vortex. It is found that a vortex in a superfluid film creates an electric potential above the film. This potential has the form of a potential of a dipole, allowing to assign a dipole moment to the vortex. The dipole moment is a sum of two terms, the first one is proportional to the relative flow velocity w and the second one isExperiments [1,2] carried out at ILT in Kharkov last 10 years revealed that a standing wave of second sound in He II was accompanied by appearance of electric potential of the order 7

show abstract

mentioning

confidence: 55%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

On the Dipole Moment of Quantized Vortices in the Presence of Flows

Shevchenko

Konstantinov

2016

J Low Temp Phys

Self Cite

View full text Add to dashboard Cite

show abstract

“…The function Ψ(R, t) can be considered as the one-particle condensate wave function. This function satisfies the equation [24,65]…”

Section: Coherent Wave Function For the Exciton Condensate In Bilayersmentioning

confidence: 99%

Stationary waves in a superfluid gas of electron-hole pairs in bilayers

Fil,

Shevchenko

2021

Preprint

Self Cite

View full text Add to dashboard Cite

Stationary waves in the condensate of electron-hole pairs in the n − p bilayer system are studied. The system demonstrates the transition from a uniform (superfluid) to a nonuniform (supersolid) state. The precursor of this transition is the appearance of the roton-type minimum in the collective mode spectrum. Stationary waves occur in the flow of the condensate past an obstacle. It is shown that the roton-type minimum manifests itself in a rather complicated stationary wave pattern with several families of crests which cross one another. It is found that the stationary wave pattern is essentially modified under variation in the density of the condensate and under variation in the flow velocity. It is shown that the pattern is formed in the main part by shortwave modes in the case of a point obstacle. The contribution of longwave modes is clearly visible in the case of a weak extended obstacle, where the stationary wave pattern resembles the ship wave pattern.

show abstract

“…Here we present general expressions for the functions that enter into the answer (44) for the spectrum. We assume that the interaction potentials between electrons and holes satisfy the relation V ee (r) = V hh (r).…”

Section: Appendix A: General Expression For the Spectrummentioning

confidence: 99%

Superfluidity of a dilute gas of electron-hole pairs in a bilayer system

Fil

Shevchenko

2016

Low Temperature Physics

Self Cite

View full text Add to dashboard Cite

The conditions of stability of the superfluid phase in double layer systems with pairing of spatially separated electrons and holes in the low density limit are studied. The general expression for the collective excitation spectrum is obtained. It is shown that under increase in the distance d between the layers the minimum emerges in the excitation spectrum. When d reaches the critical value the superfluid state becomes unstable relative to the formation of a kind of the Wigner crystal state. The same instability occurs at fixed d under increase in the density of carries. It is established that the critical distance and the critical density are related to each other by the inverse power function. The impact of the impurities on the temperature of the superfluid transition is investigated. The impact is found weak at the impurity concentration smaller than the density of the pairs. It is shown that in the rarefied system the critical temperature Tc ≈ 100 K can be reached.

show abstract

Two approaches to the description of dilute superfluid Bose systems

Cited by 11 publications

References 21 publications

On the Dipole Moment of Quantized Vortices in the Presence of Flows

On the Dipole Moment of Quantized Vortices in the Presence of Flows

Stationary waves in a superfluid gas of electron-hole pairs in bilayers

Superfluidity of a dilute gas of electron-hole pairs in a bilayer system

Contact Info

Product

Resources

About