Dynamics of Bose-Condensed Ultracold Atoms and Trimer Molecules with the Formation of Atomic–Molecular Pairs

Zingan, A. P.; Vasilieva, O. F.; Khadzhi, P. I.

doi:10.1134/s1063776119090073

Cited by 1 publication

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The static and kinetic properties of a single-component Bose system [1][2][3] and multicomponent mixtures of ultracold atoms [4][5][6] are determined to a great extent by the competition between Bose-Einstein condensation and interatomic interaction. Similar effects can also be observed in ultracold molecules [7]. Studies of the electromagnetically induced Bose-Einstein condensation of electron-hole pairs in strongly degenerate semiconductors are of current interest [8].…”

Section: Introductionmentioning

confidence: 68%

See 1 more Smart Citation

Excitation Spectrum in an Ensemble of Hubbard Bosons

Вальков

2022

Jetp Lett.

View full text Add to dashboard Cite

An approach that makes it possible to correctly derive equations describing the Bose–Einstein condensation and the spectrum of elementary excitations in the ensemble of Hubbard bosons in the strong correlation regime $$(U \gg {\text{|}}{{t}_{{fm}}}{\text{|}})$$ has been developed in the atomic representation using the Dyson method with the introduced indefinite metric. The kinematic Dyson interaction caused by the properties of the commutation relations of dynamic variables plays an important role in such a system. An effective Hamiltonian has been obtained using the operator form of perturbation theory at finite U values. It has been shown that the properties of the ensemble of Hubbard bosons have been determined by the kinematic interaction, correlated hopping, and the attraction between Hubbard bosons. Numerical calculations have demonstrated the effect of these interactions on the characteristics of the energy spectrum of excitations of the ensemble of Hubbard bosons and on the dependence of the density of condensate particles on the density of bosons in the system.

show abstract

Section: Introductionmentioning

confidence: 68%

“…Taking into account the above expressions, the Hamiltonian takes the necessary form (7) Here, (8) where ( 9) is the diagonal operator exactly describing the singlesite interaction between bosons, and (10) describes hopping processes of Hubbard bosons between the nearest sites.…”

Section: Atomic Representation Hubbard Bosons and Kinematic Interactionmentioning

confidence: 99%

Excitation Spectrum in an Ensemble of Hubbard Bosons

Вальков

2022

Jetp Lett.

View full text Add to dashboard Cite

show abstract

Dynamics of Bose-Condensed Ultracold Atoms and Trimer Molecules with the Formation of Atomic–Molecular Pairs

Cited by 1 publication

References 17 publications

Excitation Spectrum in an Ensemble of Hubbard Bosons

Excitation Spectrum in an Ensemble of Hubbard Bosons

Contact Info

Product

Resources

About