Polarization wave in the Bose-Einstein condensate

Andreev, Pavel A.

doi:10.1007/s11182-012-9754-0

Cited by 9 publications

(27 citation statements)

References 12 publications

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“…This case has been considered in Refs. [16]- [18]. It is well-known that equations (9) and (10) are the part of the set of the Maxwell equations.…”

Section: Basic Equationsmentioning

confidence: 99%

“…We can analyze the linear dynamics of collective excitations in the polarized BEC using the QHD equations (4), (5), (13), (14) and the Maxwell equations (15)- (18). Let us assume the system is placed in an external electrical field E 0 = E 0 e z .…”

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

“…Substituting these relations into system of equations (4), (5), (13), (14) and (15)- (18) and neglecting nonlinear terms, we obtain a system of the linear homogeneous equations in partial derivatives with constant coefficients.…”

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

“…In the case of wave propagation parallel to the equilibrium polarization cos θ = 1 solution we get solution obtained in Refs. [16], [17], [18], and at great length considered in Ref. [16].…”

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

“…Waves considered in Refs. [16], [17], [18] were longitudinal, that means perturbations of the electric field is parallel to the direction of wave propagation k E. Many features of the quantum hydrodynamics of dipolar BECs and meaning of considered approximations were described in Ref. [16] as well.…”

Section: Introductionmentioning

confidence: 99%

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Dispersion properties of transverse waves in electrically polarized BECs

Andreev¹,

Kuz'menkov²

2014

J. Phys. B: At. Mol. Opt. Phys.

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Further development of the method of quantum hydrodynamics in application for Bose-Einstein condensates (BECs) is presented. To consider evolution of polarization direction along with particles movement we have developed corresponding set of quantum hydrodynamic equations. It includes equations of the polarization evolution and the polarization current evolution along with the continuity equation and the Euler equation (the momentum balance equation). Dispersion properties of the transverse waves including the electromagnetic waves propagating through the BECs are considered. To this end we consider full set of the Maxwell equations for description of electromagnetic field dynamics. This approximation gives us possibility to consider the electromagnetic waves along with the matter waves. We find a splitting of the electromagnetic wave dispersion on two branches. As a result we have four solutions, two for the electromagnetic waves and two for the matter waves, the last two are the concentration-polarization waves appearing as a generalization of the Bogoliubov mode. We also obtain that if the matter wave propagate perpendicular to external electric field when dipolar contribution does not disappear (as it follows from our generalization of the Bogoliubov spectrum). In this case exist a small dipolar frequency shift due to transverse electric field of perturbation.I.

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“…This case has been considered in Refs. [16]- [18]. It is well-known that equations (9) and (10) are the part of the set of the Maxwell equations.…”

Section: Basic Equationsmentioning

confidence: 99%

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

Section: Collective Excitations In the Electric Polarized Bec: Dmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Dispersion properties of transverse waves in electrically polarized BECs

Andreev¹,

Kuz'menkov²

2014

J. Phys. B: At. Mol. Opt. Phys.

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Non-Integral Nonlinear Schrödinger Equation for Polarized Ultracold Fermions: Spectrum of Collective Excitations

Andreev

2015

Russ Phys J

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Self-consistent field theory of polarised Bose-Einstein condensates: dispersion of collective excitations

Andreev

Kuz'menkov

2013

Eur. Phys. J. D

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We suggest the construction of a set of the quantum hydrodynamics equations for the Bose-Einstein condensate (BEC), where atoms have the electric dipole moment. The contribution of the dipole-dipole interactions (DDI) to the Euler equation is obtained. Quantum equations for the evolution of medium polarization are derived. Developing mathematical method allows to study effect of interactions on the evolution of polarization. The developing method can be applied to various physical systems in which dynamics is affected by the DDI. Derivation of Gross-Pitaevskii equation for polarized particles from the quantum hydrodynamics is described. We showed that the Gross-Pitaevskii equation appears at condition when all dipoles have the same direction which does not change in time. Comparison of the equation of the electric dipole evolution with the equation of the magnetization evolution is described. Dispersion of the collective excitations in the dipolar BEC, either affected or not affected by the uniform external electric field, is considered using our method. We show that the evolution of polarization in the BEC leads to the formation of a novel type of the collective excitations. Detailed description of the dispersion of collective excitations is presented. We also consider the process of wave generation in the polarized BEC by means of a monoenergetic beam of neutral polarized particles. We compute the possibilities of the generation of Bogoliubov and polarization modes by the dipole beam.

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Polarization wave in the Bose-Einstein condensate

Cited by 9 publications

References 12 publications

Dispersion properties of transverse waves in electrically polarized BECs

Dispersion properties of transverse waves in electrically polarized BECs

Non-Integral Nonlinear Schrödinger Equation for Polarized Ultracold Fermions: Spectrum of Collective Excitations

Self-consistent field theory of polarised Bose-Einstein condensates: dispersion of collective excitations

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