Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0403307

Screening properties of a two-component charge Bose gas

K K Lee

Published Mar 11, 2004• 0 citations
arXivHTMLPDF

Abstract

The excitation spectrum of a two-component Bose-Einstein condensate has been discussed by Ref \cite{alex2comp} using the Bogoliubov equations. Here we make the additional contributions of the linear response function and dielectric function for a two-component CBG in the condensation phase as well as the confirmation of the plasmon excitation spectrum using the Gross-Pitaevskii (G-P) equations.

DOI
10.48550/arxiv.cond-mat/0403307

Related papers

Collective excitations and screening properties of a condensed charged Bose gas

A. S. Alexandrov, William H. Beere

The Bogoliubov--de Gennes (BdG) type equations are derived for the Coulomb Bose gas describing the electrodynamics of charged bosons. The gauge invariant dielectric response function and collective excitations of a charged Bose gas at T=0 are found. We find a plasmon branch which is the same as the single-particle Bogoliubov spectrum in agreement with the textbook result. The superconducting properties of the charged Bose gas are verified. A gauge-invariant formalism for calculating the response of the supracondensate particles is proposed.

Physical review. B, Condensed matter•Mar 1, 1995•28 citations

Excitations and phase segregation in a two component Bose-Einstein condensate

A. S. Alexandrov, V. V. Kabanov

Bogoliubov-de Gennes (BdG) equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, including long-range and short range forces. The nonconverting BEC mixture segregates into two phases for some two-body interactions. Gross-Pitaevskii (GP) equations are solved for the phase segregated BEC. A possibility of boundary-surface and other localised excitations is studied.

arXiv:cond-mat/0110596•Oct 29, 2001•0 citations

Excitations and phase segregation in a two-component Bose-Einstein condensate with an arbitrary interaction

A. S. Alexandrov, V. V. Kabanov

Bogoliubov-de Gennes equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, including long-range and short-range forces. Spectra of optical and acoustic plasmons (APs) are obtained. For the Coulomb interaction the AP has a quadratic long-wavelength dispersion in contrast with the linear dispersion in the normal-state two-component plasma. The nonconverting BEC mixture segregates into two phases for some two-body interactions. Gross-Pitaevskii equations are solved for the phase-segregated BEC. A possibility of boundary-surface and other localized excitations is studied.

Journal of Physics Condensed Matter•Apr 26, 2002•28 citations

Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach

Thomas Busch, J. I. Cirac, Víctor M. Pérez‐García +1 more

The dynamics of a two-component dilute Bose-Einstein gas of atoms at zero temperature is described in the mean-field approximation by a two-component Gross-Pitaevskii equation. We solve this equation assuming a Gaussian shape for the wave function, where the free parameters of the trial wave function are determined using a moment method. We derive equilibrium states and the phase diagrams for the stability for positive and negative $s$-wave scattering lengths, and obtain the low-energy excitation frequencies corresponding to the collective motion of the two Bose-Einstein condensates.

arXiv:cond-mat/9705008•Physical Review A•Oct 1, 1997•120 citations

Bragg spectroscopy of the multi-branch Bogoliubov spectrum of elongated Bose-Einstein condensates

J. Steihhauer, Nadav Y. Katz, Roee Ozeri +3 more

This paper presents Bragg spectroscopy of the multi-branch Bogoliubov spectrum of elongated Bose-Einstein condensates. The condensate consists of N=10/sup 5/ atoms of /sup 87/Rb which was excited at wavenumber k by using two Bragg beams. Results are analyzed by numerically solving the Gross-Pitaevskii (GP) equation for the order parameter of the condensate. This study shows that the response of the condensate to a Bragg pulse is indeed significantly affected by the radial degrees of freedom. By using Bragg pulses longer than in previous measurements, this multi-branch spectrum is resolved, finding good agreement with the predictions of Gross-Pitaevskii theory.

European Quantum Electronics Conference (EQEC)•Nov 15, 2004•2 citations

Bose condensate inb interaction with excitations - a two-component space-dependent model close to equilibrium

Leif Arkeryd, Anne Nouri

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a H1-setting close to equilibrium.

arXiv:1307.3012•Jul 11, 2013•1 citation
The excitation spectrum of a two-component Bose-Einstein condensate has been discussed by Ref \cite{alex2comp} using the Bogoliubov equations. Here we make the additional contributions of the linear response function and dielectric function for a two-component CBG in the condensation phase as well as the confirmation of the plasmon excitation spectrum using the Gross-Pitaevskii (G-P) equations.
The Bogoliubov--de Gennes (BdG) type equations are derived for the Coulomb Bose gas describing the electrodynamics of charged bosons. The gauge invariant dielectric response function and collective excitations of a charged Bose gas at T=0 are found. We find a plasmon branch which is the same as the single-particle Bogoliubov spectrum in agreement with the textbook result. The superconducting properties of the charged Bose gas are verified. A gauge-invariant formalism for calculating the response of the supracondensate particles is proposed.
Bogoliubov-de Gennes equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, including long-range and short-range forces. Spectra of optical and acoustic plasmons (APs) are obtained. For the Coulomb interaction the AP has a quadratic long-wavelength dispersion in contrast with the linear dispersion in the normal-state two-component plasma. The nonconverting BEC mixture segregates into two phases for some two-body interactions. Gross-Pitaevskii equations are solved for the phase-segregated BEC. A possibility of boundary-surface and other localized excitations is studied.
The dynamics of a two-component dilute Bose-Einstein gas of atoms at zero temperature is described in the mean-field approximation by a two-component Gross-Pitaevskii equation. We solve this equation assuming a Gaussian shape for the wave function, where the free parameters of the trial wave function are determined using a moment method. We derive equilibrium states and the phase diagrams for the stability for positive and negative sss-wave scattering lengths, and obtain the low-energy excitation frequencies corresponding to the collective motion of the two Bose-Einstein condensates.
This paper presents Bragg spectroscopy of the multi-branch Bogoliubov spectrum of elongated Bose-Einstein condensates. The condensate consists of N=10/sup 5/ atoms of /sup 87/Rb which was excited at wavenumber k by using two Bragg beams. Results are analyzed by numerically solving the Gross-Pitaevskii (GP) equation for the order parameter of the condensate. This study shows that the response of the condensate to a Bragg pulse is indeed significantly affected by the radial degrees of freedom. By using Bragg pulses longer than in previous measurements, this multi-branch spectrum is resolved, finding good agreement with the predictions of Gross-Pitaevskii theory.
The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with periodic boundary conditions for the distribution function of a gas of excitations interacting with a Bose condensate, which is described by a Gross-Pitaevskii equation. Results on well-posedness and long time behaviour are proved in a H1-setting close to equilibrium.