A kinetic approach to Bose-Einstein condensates

Self-phase modulation and Bogoliubov oscillations

J.T. Mendonca, R. Bingham, P.K. Shukla

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A kinetic approach to Bose-Einstein condensates (BECs) is proposed based on the Wigner-Moyal equation (WME). In the semiclassical limit, the WME reduces to the particle-number conservation equation. Two examples of applications are (i) a self-phase modulation of a BE condensate beam, where we show that part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential, and (ii) the derivation of a kinetic dispersion relation for sound waves in BECs, including collisionless Landau damping. (c) 2005 Pleiades Publishing, Inc.
Original languageEnglish
Pages (from-to)942-948
Number of pages7
JournalJournal of Experimental and Theoretical Physics
Volume101
Issue number5
DOIs
Publication statusPublished - 2005

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Bose-Einstein condensates
phase modulation
oscillations
Landau damping
conservation equations
kinetics
sound waves
condensates
derivation
gradients

Keywords

  • Bose-Einstein condensates
  • conservation equation
  • kinetic dispersion
  • collisionless Landau damping

Cite this

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A kinetic approach to Bose-Einstein condensates : Self-phase modulation and Bogoliubov oscillations. / Mendonca, J.T.; Bingham, R.; Shukla, P.K.

In: Journal of Experimental and Theoretical Physics, Vol. 101, No. 5, 2005, p. 942-948.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A kinetic approach to Bose-Einstein condensates

T2 - Self-phase modulation and Bogoliubov oscillations

AU - Mendonca, J.T.

AU - Bingham, R.

AU - Shukla, P.K.

PY - 2005

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AB - A kinetic approach to Bose-Einstein condensates (BECs) is proposed based on the Wigner-Moyal equation (WME). In the semiclassical limit, the WME reduces to the particle-number conservation equation. Two examples of applications are (i) a self-phase modulation of a BE condensate beam, where we show that part of the beam is decelerated and eventually stops as a result of the gradient of the effective self-potential, and (ii) the derivation of a kinetic dispersion relation for sound waves in BECs, including collisionless Landau damping. (c) 2005 Pleiades Publishing, Inc.

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KW - conservation equation

KW - kinetic dispersion

KW - collisionless Landau damping

U2 - 10.1134/1.2149073

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